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A Serre weight conjecture for geometric Hilbert modular forms in characteristic pDec 11 2017Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert modular forms for F, defined as sections of automorphic line bundles on Hilbert modular varieties of level prime to p in characteristic p. For a mod p Hilbert ... More

Neutrino Telescope Array Letter of Intent: A Large Array of High Resolution Imaging Atmospheric Cherenkov and Fluorescence Detectors for Survey of Air-showers from Cosmic Tau Neutrinos in the PeV-EeV Energy RangeAug 26 2014Jul 22 2015This Letter of Intent (LoI) describes the outline and plan for the Neutrino Telescope Array (NTA) project. High-energy neutrinos provide unique and indisputable evidence for hadronic acceleration. Recently, IceCube has reported astronomical neutrino candidates ... More

$p$-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou - INov 20 2018Let $p$ be an odd prime. Given an imaginary quadratic field $K=\mathbb{Q}(\sqrt{-D_K})$ where $p$ splits with $D_K>3$, and a $p$-ordinary newform $f \in S_k(\Gamma_0(N))$ such that $N$ verifies the Heegner hypothesis relative to $K$, we prove a $p$-adic ... More

Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified caseApr 03 2012May 21 2013We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these results to prove many new cases of the strong ... More

Exactly Solvable Birth and Death ProcessesMar 18 2009Many examples of exactly solvable birth and death processes, a typical stationary Markov chain, are presented together with the explicit expressions of the transition probabilities. They are derived by similarity transforming exactly solvable `matrix' ... More

Fate of charmed mesons near chiral symmetry restoration in hot matterSep 11 2014Nov 07 2014Chiral thermodynamics of charmed mesons is formulated at finite temperature within a $2+1+1$-flavored effective Lagrangian incorporating heavy quark symmetry. The charmed-meson mean fields act as an extra source which breaks the chiral symmetry explicitly. ... More

Chiral thermodynamics of dense hadronic matterDec 23 2010We discuss phases of hot and dense hadronic matter using chiral Lagrangians. A two-flavored parity doublet model constrained by the nuclear matter ground state predicts chiral symmetry restoration. The model thermodynamics is shown within the mean field ... More

Non-renormalization Theorem Originating in a New Fixed Point of the Vector ManifestationMay 31 2003Apr 02 2004We study the pion velocity at the critical temperature of chiral symmetry restoration in QCD. Starting from the premise that the bare effective field theory is to be defined from the underlying QCD, we incorporate the effects of Lorentz non-invariance ... More

Suppression of the repulsive force in nuclear interactions near the chiral phase transitionJan 26 2012We introduce an effective chiral Lagrangian with a dilaton responsible for the trace anomaly in QCD. As the "dilaton limit" is taken, which drives a system to near chiral restoration density, a linear sigma model emerges from the highly non-linear structure. ... More

Chiral Phase Transition in QCD and Vector ManifestationApr 09 2005Spontaneous chiral symmetry breaking is one of the most important features in low-energy QCD. The chiral symmetry is expected to be restored at very high temperature and/or density. Accompanied by the chiral phase transition, properties of hadrons will ... More

Violation of Vector Dominance in the Vector ManifestationApr 30 2003The vector manifestation (VM) is a new pattern for realizing the chiral symmetry in QCD. In the VM, the massless vector meson becomes the chiral partner of pion at the critical point, in contrast with the restoration based on the linear sigma model. Including ... More

N* Spectrum in Lattice QCDApr 27 2000Apr 28 2000We investigate the mass of the parity partner $N^* (1/2^{-})$ of the nucleon $N(1/2^{+})$, in lattice QCD using a new lattice discretization scheme for fermions, domain wall fermions (DWF). DWF possess exact chiral symmetry and flavor symmetry, both of ... More

A New Method to Estimate Cosmological Parameters Using Baryon Fraction of Clusters of GalaxiesNov 05 1996We propose a new method to estimate cosmological parameters using the baryon fraction of clusters of galaxies for a range of redshifts. The basic assumption is that the baryon fraction of clusters is constant, which is a reasonable assumption when it ... More

A Short Remark on the Polaron in the Semi-relativistic Pauli-Fierz ModelMar 30 2013We consider the polaron of the spinless semi-relativistic Pauli-Fierz model. The Hamiltonian of the model is defined by $H(\mathbf{P}) = \sqrt{(\mathbf{P}-d\Gamma(\mathbf{k}) + e\bA)^2 + M^2} + d\Gamma(\omega_m)$, where $\mathbf{P}\in\mathbb{R}^3$ is ... More

Theory of the Integer and Fractional Quantum Hall EffectsMar 29 2016The present theory has investigated the FQHE without any quasi-particle. The electric field due to the Hall voltage is taken into consideration. We find the ground state where the electron configuration is uniquely determined so as to have the minimum ... More

On Non-linear Action for Gauged M2-braneDec 04 2009Mar 17 2010We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes couplings ... More

The parity partner of the nucleon in quenched QCD with domain wall fermionsSep 11 1999We present preliminary results for the mass spectrum of the nucleon and its low-lying excited states from quenched lattice QCD using the domain wall fermion method which preserves the chiral symmetry at finite lattice cutoff. Definite mass splitting is ... More

Frequency Dependence of Diagonal Resistance in Fractional Quantum Hall Effect via Periodic Modulation of Magnetic FieldMar 05 2008Energy spectrum of fractional quantum Hall (FQH) states is composed of single electron energy (Landau energy) neglecting the Coulomb interactions between electrons, classical Coulomb energy and the quantum energy via quantum transitions. Herein, the sum ... More

Hyperon vector form factor from 2+1 flavor lattice QCDSep 27 2012Nov 26 2012We present the first result for the hyperon vector form factor f_1 for Xi^0 -> Sigma^+ l bar{nu} and Sigma^- -> n l bar{nu} semileptonic decays from fully dynamical lattice QCD. The calculations are carried out with gauge configurations generated by the ... More

Energy Spectra for Fractional Quantum Hall StatesAug 11 2007Fractional quantum Hall states (FQHS) with the filling factor nu = p/q of q < 21 are examined and their energies are calculated. The classical Coulomb energy is evaluated among many electrons; that energy is linearly dependent on 1/nu. The residual binding ... More

Pentaquarks: Status and Perspectives for Lattice CalculationsOct 13 2004The present status of pentaquark spectroscopy in lattice QCD is reviewed. This talk also includes a brief introduction of pentaquark baryons.

Lattice study of nucleon properties with domain wall fermionsOct 12 2001Domain wall fermions (DWF) are a new fermion discretization scheme with greatly improved chiral symmetry. Our final goal is to study the nucleon spin structure through lattice simulation using DWF. In this paper, we present our current progress on two ... More

Intracluster Supernova as a Possible Extra Energy Source of ClustersNov 09 2000The observed luminosity -- temperature relation of clusters is considerably steeper than that expected from a simple scaling relation. Although extra energy input is a likely solution, its source has not been identified. We propose intracluster supernova ... More

Hyperon vector coupling f_1(0) from 2+1 flavor lattice QCDFeb 24 2011We present results for the hyperon vector form factor f_1 for $\Xi^0 \rightarrow \Sigma^+ l\bar{\nu}$ and $\Sigma^- \rightarrow n l\bar{\nu}$ semileptonic decays from dynamical lattice QCD with domain-wall quarks. Simulations are performed on the 2+1 ... More

The QCD Phase Diagram from Chiral ApproachesJul 27 2009Sep 10 2009I show an updated QCD phase diagram with recent developments from chiral effective theories and phenomenological models. Expected signals of a QCD critical point accessible in heavy-ion collisions are also discussed. In particular, non-monotonic behavior ... More

Pion Velocity near the Chiral Phase TransitionApr 08 2004We focus on the pion velocity at the critical temperature and study the quantum and hadronic thermal effects based on the vector manifestation (VM). We show the non-renormalization property on the pion velocity $v_\pi$, which is protected by the VM, and ... More

Confining non-analytic exponential potential $V(x)= g^2\exp\,(2|x|)$ and its exact Bessel-function solvabilityNov 08 2016In a previous paper we have shown that Schr\"{o}dinger equation with the non-analytic attractive exponential potential $V(x)= -g^2\exp (-|x|)$ is exactly solvable. It has finitely many discrete eigenstates described by the Bessel function of the first ... More

Lattice study of exotic S=+1 baryonOct 06 2003Sep 21 2004We propose S=+1 baryon interpolating operators, which are based on an exotic description of the antidecuplet baryon like diquark-diqaurk-antiquark. By using one of the new operators, the mass spectrum of the spin-1/2 pentaquark states is calculated in ... More

Latest results from lattice QCD for the Roper resonanceMay 07 2003Jun 16 2003The present status of the Roper resonance in lattice QCD is reviewed. Some of the latest lattice results are discussed with particular emphasis on a large systematic error stemming from the finite size effect. These results suggest that the Roper resonance ... More

Evaluation of specific heat for superfluid helium between 0 - 2.1 K based on nonlinear theoryJul 09 2008The specific heat of liquid helium was calculated theoretically in the Landau theory. The results deviate from experimental data in the temperature region of 1.3 - 2.1 K. Many theorists subsequently improved the results of the Landau theory by applying ... More

Interplay between chromoelectric and chromomagnetic gluons in Yang-Mills thermodynamicsDec 18 2013We propose an effective theory of SU(3) gluonic matter where interactions between color-electric and color-magnetic gluons are constrained by the center and scale symmetries. Through matching to the dimensionally-reduced magnetic theories, the magnetic ... More

Thermodynamics of dense matter in chiral approachesApr 29 2010We discuss phases in dense hadronic and quark matter from chiral model approaches. Within PNJL models the phase diagram for various number of colors $N_c$ is studied. How phases are constrained in quantum field theories are also discussed along with the ... More

Chiral Thermodynamics with CharmFeb 27 2015Chiral thermodynamics of charmed mesons is formulated at finite temperature within a $2+1+1$-flavored effective Lagrangian incorporating heavy quark symmetry. The chiral mass splittings are shown to be less sensitive to the light-quark flavors, attributed ... More

Spectral Analysis of the Dirac PolaronJun 09 2006Oct 22 2013A system of a Dirac particle interacting with the radiation field is considered. The Hamiltonian of the system is defined by $H = \alpha\cdot(\hat\mathbf{p}-q\mathbf{A}(\hat\mathbf{x}))+m\beta + H_f$ where $q\in\mathbb{R}$ is a coupling constant, $\mathbf{A}(\hat\mathbf{x})$ ... More

Yang-Mills Thermodynamics: an Effective Theory ApproachDec 13 2013We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the strong-coupling expansion, ... More

Selected Issues in Thermal Field TheoryAug 04 2014New developments on hot and dense QCD in effective field theories are reviewed. Recent investigations in lattice gauge theories for the low-lying Dirac eigenmodes suggest survival hadrons in restored phase of chiral symmetry. We discuss expected properties ... More

The Phase Structure of Dense QCD from Chiral ModelsOct 22 2009A new phase of dense QCD proposed in the limit of large number of colors, Quarkyonic Phase, is discussed in chiral approaches. The interplay between chiral symmetry breaking and confinement together with the $N_c$ dependence of the phase diagram are dealt ... More

Symmetric Morse potential is exactly solvableNov 18 2016Morse potential $V_M(x)= g^2\exp (2x)-g(2h+1)\exp(x)$ is defined on the full line, $-\infty<x<\infty$ and it defines an exactly solvable 1-d quantum mechanical system with finitely many discrete eigenstates. By taking its right half $0\le x<\infty$ and ... More

The evolution of cooperation through institutional incentives and optional participationFeb 27 2013Rewards and penalties are common practical tools that can be used to promote cooperation in social institutions. The evolution of cooperation under reward and punishment incentives in joint enterprises has been formalized and investigated, mostly by using ... More

Gap Condition and Self-Dualized ${\cal N}=4$ Super Yang-Mills Theory for ADE Gauge Group on K3Mar 20 2003Apr 21 2003We try to determine the partition function of ${\cal N}=4$ super Yang-Mills theoy for ADE gauge group on K3 by self-dualizing our previous ADE partition function. The resulting partition function satisfies gap condition.

Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3Mar 13 2003Jul 14 2003We determine the partition functions of ${\cal N}=4$ super Yang-Mills gauge theory for some $ADE$ gauge groups on $K3$, under the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the ... More

Inverse scattering for the nonlinear Schrödinger equation with the Yukawa potentialNov 05 2007Jun 25 2008We study the inverse scattering problem for the three dimensional nonlinear Schroedinger equation with the Yukawa potential. The nonlinearity of the equation is nonlocal. We reconstruct the potential and the nonlinearity by the knowledge of the scattering ... More

Neural-network Kohn-Sham exchange-correlation potential and its out-of-training transferabilityFeb 08 2018We incorporate in the Kohn-Sham self consistent equation a trained neural-network projection from the charge density distribution to the Hartree-exchange-correlation potential $n \rightarrow V_{\rm Hxc}$ for possible numerical approach to the exact Kohn-Sham ... More

Long-range Scattering Matrix for Schrödinger-type OperatorsApr 16 2018Nov 18 2018We show that the scattering matrix for a class of Schr\"odinger-type operators with long-range perturbations is a Fourier integral operator with the phase function which is the generating function of the modified classical scattering map.

Propensity score weighting for causal inference with multi-stage clustered dataJul 26 2016Propensity score weighting is a tool for causal inference to adjust for measured confounders. Survey data are often collected under complex sampling designs such as multistage cluster sampling, which presents challenges for propensity score modeling and ... More

Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta valuesMay 10 2004Jun 11 2004We describe a solution of the Gauss hypergeometric equation, $F(\alpha,\beta,\gamma;z)$ by power series in paramaters $\alpha,\beta,\gamma$ whose coefficients are $\Z$ linear combinations of multiple polylogarithms. And using the representation and connection ... More

From Hopf-Lax formula to optimal weak transfer planSep 12 2016We study the properties of Hopf-Lax formula restricted to convex functions and characterize the optimal transfer plan for weak transport problem.

Reimagine Procrastination: Music Preference and Health Habits as Factors on Self-Perceived Procrastination of Young PeopleFeb 20 2018As the buzzword phenomenon, procrastination holds a continued need for a comprehensive examination of its nature and the associated factors. The presented study explores the potential relationship between music taste, life style and the youngsters' procrastination ... More

Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta valuesOct 10 2008In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ ... More

Conjugacy of Borel subalgebras of restricted Lie algeberas and the associated solvabel algebraic groups (I)Apr 04 2014Let (g,[p]) be a finite-dimensional restricted Lie algebra defined over an algebraically closed field K of characteristic p > 0, and G be the adjoint group of g. A Borel subalgebra (or Borel for short) of g is defined as a maximal solvable subalgebra ... More

Holographic thermalization with initial long range correlationNov 24 2015Feb 12 2016We studied the evolution of Wightman correlator in a thermalizing state modeled by AdS_3-Vaidya background. We gave a prescription for calculating Wightman correlator in coordinate space without using any approximation. For equal-time correlator $\langle ... More

Symmetric confidence regions and confidence intervals for normal map formulations of stochastic variational inequalitiesJun 26 2014Stochastic variational inequalities (SVI) model a large class of equilibrium problems subject to data uncertainty, and are closely related to stochastic optimization problems. The SVI solution is usually estimated by a solution to a sample average approximation ... More

Compact Complex Surfaces and Constant Scalar Curvature Kähler MetricsDec 01 2006Sep 26 2008In this article, I prove the following statement: Every compact complex surface with even first Betti number is deformation equivalent to one which admits an extremal K\"ahler metric. In fact, this extremal K\"ahler metric can even be taken to have constant ... More

One loop quantum fluctuations to the energy of the non-topological soliton in Friedberg-Lee modelJul 06 2016I have used a practical method to calculate the one-loop quantum correction to the energy of the non-topological soliton in Friedberg-Lee model. The quantum effects which come from the quarks of the Dirac sea scattering with the soliton bag are calculated ... More

Black hole formation in the Friedmann universe: Formulation and computation in numerical relativityMay 18 1999We study formation of black holes in the Friedmann universe. We present a formulation of the Einstein equations under the constant mean curvature time-slicing condition. Our formalism not only gives us the analytic solution of the perturbation equations ... More

Lax pair for SU(n) Hubbard modelJan 20 1998Jan 30 1998For one dimensional SU(n) Hubbard model, a pair of Lax operators are derived, which give a set of fundamental equations for the quantum inverse scattering method under both periodic and open boundary conditions. This provides another proof of the integrability ... More

Quantum & Classical Eigenfunctions in Calogero & Sutherland SystemsAug 07 2003Sep 10 2003An interesting observation was reported by Corrigan-Sasaki that all the frequencies of small oscillations around equilibrium are " quantised" for Calogero and Sutherland (C-S) systems, typical integrable multi-particle dynamics. We present an analytic ... More

Quantum vs Classical Integrability in Ruijsenaars-Schneider SystemsMay 14 2003The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one parameter deformation of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero ... More

Stochastic Cutoff Method for Long-Range Interacting SystemsOct 05 2007Dec 27 2007A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle system decreases ... More

A novel spectral broadening from vector--axial-vector mixing in dense matterFeb 20 2009The presence of baryonic matter leads to the mixing between transverse $\rho$ and $a_1$ mesons through a set of $\omega\rho a_1$-type interactions, which results in the modification to the dispersion relation. We show that a clear enhancement of the vector ... More

Thermal Dilepton Production from Dropping rho in the Vector ManifestationFeb 20 2007We study the pion electromagnetic form factor and the dilepton production rate in hot matter based on the vector manifestation (VM) of chiral symmetry in which the massless vector meson becomes the chiral partner of the pion, giving a theoretical framework ... More

Thermal Dilepton Production from Dropping rho based on the Vector ManifestationAug 21 2006We study the pion electromagnetic form factor and the dilepton production rate in hot matter using the hidden local symmetry theory as an effective field theory for pions and rho mesons. In this framework, the chiral symmetry restoration is realized as ... More

Vector Manifestation in Hot Matter and Violation of Vector DominanceJun 27 2003We summarize main mechanisms to realize the vector manifestation (VM), in which the massless vector meson becomes the chiral partner of pion, at the critical temperature in hot QCD within the framework of the model based on the hidden local symmetry. ... More

Post-Newtonian expansion of gravitational waves from a particle in circular orbit around a Schwarzschild black holeMay 26 1994Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$. We calculate ... More

Analysis on Aging in the Generalized Random Energy ModelMar 30 2000A new dynamics more natural than that proposed by Bouchaud and Dean is introduced to the Generalized Random Energy Model, and the master equation for the dynamics is solved exactly to calculate the time correlation function. Although our results are very ... More

Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossingApr 20 2013Jun 12 2013The lowest eigenvalue of non-commutative harmonic oscillators $Q$ is studied. It is shown that $Q$ can be decomposed into four self-adjoint operators, and all the eigenvalues of each operator are simple. We show that the lowest eigenvalue $E$ of $Q$ is ... More

Lattice gradient flow with tree-level $\mathcal{O}(a^4)$ improvement in pure Yang-Mills theoryNov 19 2015Following a recent paper by Fodor et al. (arXiv:1406.0827), we reexamine several types of tree-level improvements on the flow action with various gauge actions in order to reduce the lattice discretization errors in the Yang-Mills gradient flow method. ... More

BPS States in Supersymmetric Chiral Models with Higher Derivative TermsJun 30 2014Nov 04 2014We study the higher derivative chiral models with four supercharges and BPS states in these models. The off-shell Lagrangian generically includes higher powers of the auxiliary fields F which causes distinct on-shell branches associated with the solutions ... More

A Conclusive Test of Abelian Dominance Hypothesis for Topological Charge in the QCD VacuumAug 18 1998Sep 12 1998We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge $Q_{\rm SU(2)}$ can be explicitly represented in terms of the monopole current in the abelian dominated system. To appreciate its justification, ... More

Existence of Chiral-Asymmetric Zero Modes in the Background of QCD-MonopolesSep 19 1997We study topological aspects of the QCD vacuum structure in SU(2) lattice gauge theory with the abelian gauge fixing. The index of the Dirac operator is measured by using the Wilson fermion in the quenched approximation. We find chiral-asymmetric zero ... More

$U_A$(1) Anomaly in Background Fields Dominated by QCD-Monopoles on SU(2) LatticeJun 01 1997Jun 13 1997We study $U_A$(1) anomaly of non-perturbative QCD in the maximally abelian gauge on SU(2) lattice. The existence of the strong correlation between QCD-monopoles and instantons in the abelian gauge is shown by both analytic and numerical works including ... More

Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral ModelsApr 30 2015Jun 21 2015We study N=1 supersymmetric gauge theories coupled with higher derivative chiral models in four dimensions in the off-shell superfield formalism. We solve the equation of motion for the auxiliary fields and find two distinct on-shell structures of the ... More

Superconducting Sn_{1-x}In_{x}Te NanoplatesOct 17 2014May 21 2015Recently, the search for Majorana fermions has become one of the most prominent subjects in condensed matter physics. This search involves explorations of new materials and hence offers interesting opportunities for chemistry. Theoretically, Majorana ... More

Non-equilibrium Ionization State of Warm-Hot Intergalactic MediumMar 03 2006Jun 13 2006Time evolution of the ionization state of metals in the cosmic baryons is investigated in a cosmological context without the assumption of ionization equilibrium. We find that a significant fraction of ionized oxygen ions (OVII and OVIII) in the warm-hot ... More

Discrimination of the binary coherent signal: Gaussian-operation limit and simple non-Gaussian near-optimal receiversJun 07 2007Aug 14 2008We address the limit of the Gaussian operations and classical communication in the problem of quantum state discrimination. We show that the optimal Gaussian strategy for the discrimination of the binary phase shift keyed (BPSK) coherent signal is a simple ... More

Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theoryOct 14 2004Mar 07 2005In this paper, using a Hopf-algebraic method, we construct deformed Poincar\'e SUSY algebra in terms of twisted (Hopf) algebra. By adapting this twist deformed super-Poincar\'e algrebra as our fundamental symmetry, we can see the consistency between the ... More

Memory Effect, Rejuvenation and Chaos Effect in the Multi-layer Random Energy ModelFeb 02 2000We introduce magnetization to the Multi-layer Random Energy Model which has a hierarchical structure, and perform Monte Carlo simulation to observe the behavior of ac-susceptibility. We find that this model is able to reproduce three prominent features ... More

Implications on the Ionizing Background Radiation from HST Heii Gunn-Peterson TestSep 13 1994Sep 14 1994Recently, Jakobsen et al. reported that the HeII Gunn-Peterson optical depth is greater than 1.7 at $ z=3.3$. When we consider this observation combined with the HI Gunn-Peterson optical depths and the intensity of the UV background at high redshifts, ... More

Numerical study of tree-level improved lattice gradient flows in pure Yang-Mills theorySep 22 2016We study several types of tree-level improvement in the Yang-Mills gradient flow method in order to reduce the lattice discretization errors in line with a reference [Fodor et al., arXiv:1406.0827]. The tree-level $\mathcal{O}(a^2)$ improvement can be ... More

Differential Geometry of the Vortex Filament EquationNov 11 1996Differential calculus on the space of asymptotically linear curves is developed. The calculus is applied to the vortex filament equation in its Hamiltonian description. The recursion operator generating the infinite sequence of commuting flows is shown ... More

Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear RealizationsAug 19 2014Nov 05 2014When global symmetries are spontaneously broken in supersymmetric vacua, there appear quasi-Nambu-Goldstone (NG) fermions as superpartners of NG bosons. In addition to these, there can appear quasi-NG bosons in general. The quasi-NG bosons and fermions ... More

Polarized structure functions from the latticeFeb 17 2000We give a brief sketch of lattice structure function calculations and review previous results for the axial coupling $g_A$. We outline a new technique for treating fermions on the lattice that preserves chiral symmetry, domain wall fermions. Finally, ... More

Bulk viscosity in quasi particle modelsJun 29 2008May 03 2009We discuss transport properties of dynamical fluid composed of quasi-particles whose masses depend on temperature and charge chemical potentials. Based on the relativistic kinetic theory formulated under the relaxation time approximation, we derive a ... More

Vector Manifestation in Hot MatterSep 05 2001May 15 2002Based on the hidden local symmetry (HLS) Lagrangian as an effective field theory of QCD, we find that the chiral symmetry restoration for hot QCD can be realized through the Vector Manifestation where the rho meson becomes massless degenerate with pi ... More

Tensor ghosts in the inflationary cosmologyJul 22 2009Theories with curvature squared terms in the action are known to contain ghost modes in general. However, if we regard curvature squared terms as quantum corrections to the original theory, the emergence of ghosts may be simply due to the perturbative ... More

A Superparamagnetic State Induced by a Spin Reorientation Transition in Ultrathin Magnetic FilmsDec 06 2012Feb 07 2013We investigate a spin reorientation transition (SRT) in ultrathin magnetic films by Monte-Carlo simulations. We assume that the lateral size of the film is relatively small and it has a single-domain structure. To gain insights into the SRT, we measure ... More

Lüscher's finite size method with twisted boundary conditions: an application to $J/ψ$-$φ$ system to search for narrow resonanceNov 23 2012Jan 18 2013We investigate an application of twisted boundary conditions for study of low-energy hadron-hadron interactions with L\"ushcer's finite size method. It allows us to calculate the phase shifts for elastic scattering of two hadrons at any small value of ... More

Worldsheet Instanton Corrections to 522-brane GeometryMay 20 2013Sep 12 2013We study worldsheet instanton corrections to the exotic 522-brane geometry in type II string theory. The BPS vortices in the N=(4,4) gauged linear sigma model modify the geometry of the 522-brane. We find that the modification of the geometry is understood ... More

Gauged Linear Sigma Model for Exotic Five-braneApr 15 2013Mar 19 2014We study an N=(4,4) supersymmetric gauged linear sigma model which gives rise to the nonlinear sigma model for multi-centered KK-monopoles. We find a new T-duality transformation of the model even in the presence of F-terms. Performing T-duality, we find ... More

Sigma Model BPS Lumps on TorusMay 27 2012Sep 19 2012We study doubly periodic Bogomol'nyi-Prasad-Sommerfield (BPS) lumps in supersymmetric CP^{N-1} non-linear sigma models on a torus T^2. Following the philosophy of the Harrington-Shepard construction of calorons in Yang-Mills theory, we obtain the n-lump ... More

Lattice Study of $U_{A}(1)$ Anomaly: The Role of QCD-MonopolesOct 20 1998We investigate the role of QCD-monopoles for the $U_{A}(1)$ anomaly in the maximally abelian gauge within the SU(2) lattice gauge theory. The existence of the strong correlation between instantons and QCD-monopoles in the abelian gauge was already shown ... More

Thermal Dilepton Production Rate from Dropping rho in the Vector ManifestationSep 25 2007In this write-up we summarize main points of our recent analysis on the thermal dilepton production rate from the dropping rho based on the vector manifestation (VM). In the analysis, we studied the effect of the strong violation of the vector dominance ... More

Vector Manifestation and Violation of Vector Dominance in Hot MatterApr 30 2003Mar 15 2004We show the details of the calculation of the hadronic thermal corrections to the two-point functions in the effective field theory of QCD for pions and vector mesons based on the hidden local symmetry (HLS) in hot matter using the background field gauge. ... More

Effect of vector--axial-vector mixing to dilepton spectrumMar 01 2010In this write-up we summarize main results of our recent analyses on the mixing between transverse rho and a1 mesons in hot and/or dense matter. We show that the axial-vector meson contributes significantly to the vector spectral function in hot matter ... More

Dropping rho and A1 Meson Masses at the Chiral Phase Transition in the Generalized Hidden Local SymmetryMar 22 2007In this contribution to the proceedings, we present our recent analysis on the chiral symmetry restoration in the generalized hidden local symmetry (GHLS) which incorporates the rho meson, $A_1$ meson and the pion consistently with the chiral symmetry ... More

Dropping rho and A_1 Meson Masses at Chiral Phase Transition in the Generalized Hidden Local SymmetryNov 28 2005Jan 16 2006We study the chiral symmetry restoration using the generalized hidden local symmetry (GHLS) which incorporates the rho and A_1 mesons as the gauge bosons of the GHLS and the pion as the Nambu-Goldstone boson consistently with the chiral symmetry of QCD. ... More

Krein-Adler transformations for shape-invariant potentials and pseudo virtual statesDec 29 2012Apr 30 2013For eleven examples of one-dimensional quantum mechanics with shape-invariant potentials, the Darboux-Crum transformations in terms of multiple pseudo virtual state wavefunctions are shown to be equivalent to Krein-Adler transformations deleting multiple ... More

Infinitely many shape invariant potentials and new orthogonal polynomialsMay 31 2009Aug 22 2009Three sets of exactly solvable one-dimensional quantum mechanical potentials are presented. These are shape invariant potentials obtained by deforming the radial oscillator and the trigonometric/hyperbolic P\"oschl-Teller potentials in terms of their ... More

Orthogonal Polynomials from Hermitian MatricesDec 26 2007Feb 27 2008A unified theory of orthogonal polynomials of a discrete variable is presented through the eigenvalue problem of hermitian matrices of finite or infinite dimensions. It can be considered as a matrix version of exactly solvable Schr\"odinger equations. ... More

Thermodynamics of dense hadronic matter in a parity doublet modelMay 26 2010We study thermodynamics of nuclear matter in a two-flavored parity doublet model within the mean field approximation. Parameters of the model are chosen to reproduce correctly the properties of the nuclear ground state. The model predicts two phase transitions ... More