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A Generalized Construction for Lumps and Non-Abelian VorticesOct 14 2008We construct the general vortex solution in a fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos term. The strict correspondence ... More

Quantum and Classical in Adiabatic ComputationMay 20 2014Adiabatic transport provides a powerful way to manipulate quantum states. By preparing a system in a readily initialised state and then slowly changing its Hamiltonian, one may achieve quantum states that would otherwise be inaccessible. Moreover, a judicious ... More

From quantum to classical modelling of radiation reaction: a focus on the radiation spectrumFeb 08 2018Soon available multi petawatt ultra-high-intensity (UHI) lasers will allow us to probe high-amplitude electromagnetic fields interacting with either ultra-relativistic electron beams or hot plasmas in the so-called moderately quantum regime. The correct ... More

Astrophysics of magnetically collimated jets generated from laser-produced plasmasDec 12 2012The generation of astrophysically relevant jets, from magnetically collimated, laser-produced plasmas, is investigated through three-dimensional, magneto-hydrodynamic simulations. We show that for laser intensities I ~ 10^12 - 10^14 W/cm^2, a magnetic ... More

Non-Abelian Monopoles in the Higgs PhaseDec 18 2010Mar 01 2011We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge theories when non-zero masses for the matter hypermultiplets are introduced. We focus on the case ... More

Decomposing Instantons in Two DimensionsAug 29 2011Mar 12 2012We study BPS string-like solutions in the 3+1 dimensional gauged CP(1) non-linear sigma model. The same analysis can be applied to study instantons in 2 euclidean dimensions. We use the moduli matrix approach to construct analytically the moduli space ... More

Optimally Stopped OptimizationAug 20 2016We combine the fields of heuristic optimization and optimal stopping. We propose a strategy for benchmarking randomized optimization algorithms that minimizes the expected total cost for obtaining a good solution with an optimal number of calls to the ... More

Quantum Exact Non-Abelian Vortices in Non-relativistic TheoriesNov 21 2013Jul 16 2014Non-Abelian vortices arise when a non-Abelian global symmetry is exact in the ground state but spontaneously broken in the vicinity of their cores. In this case, there appear (non-Abelian) Nambu-Goldstone (NG) modes confined and propagating along the ... More

Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixturesMay 22 2013Nov 04 2014We describe an ultracold fermionic set-up where it is possible to synthesize a superfluid phase with symmetry obtained by locking independent invariance groups of the normal state. In this phase, named two-flavors symmetry-locking phase (TFSL), non-Abelian ... More

Nested Quantum Annealing CorrectionNov 22 2015We present a general error-correcting scheme for quantum annealing that allows for the encoding of a logical qubit into an arbitrarily large number of physical qubits. Given any Ising model optimization problem, the encoding replaces each logical qubit ... More

Type I Non-Abelian Superconductors in Supersymmetric Gauge TheoriesSep 12 2007Oct 10 2007Non-BPS non-Abelian vortices with CP^1 internal moduli space are studied in an N=2 supersymmetric U(1) x SU(2) gauge theory with softly breaking adjoint mass terms. For generic internal orientations the classical force between two vortices can be attractive ... More

Spontaneous Magnetization through Non-Abelian Vortex Formation in Rotating Dense Quark MatterJun 15 2012Oct 12 2012When a color superconductor of high density QCD is rotating, superfluid vortices are inevitably created along the rotation axis. In the color-flavor locked phase realized at the asymptotically large chemical potential, there appear non-Abelian vortices ... More

Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-BJan 16 2013Apr 11 2013Kelvin waves or Kelvons have been known for a long time as gapless excitations propagating along superfluid vortices. These modes can be interpreted as the Nambu-Goldstone excitations arising from the spontaneous breaking of the translational symmetry. ... More

Large-N Solution of the Heterotic Weighted Non-Linear Sigma-ModelSep 30 2010Dec 29 2010We study a heterotic two-dimensional N=(0,2) gauged non-linear sigma-model whose target space is a weighted complex projective space. We consider the case with N positively and N^~=N_F - N negatively charged fields. This model is believed to give a description ... More

Supersymmetry Breaking on Gauged Non-Abelian VorticesJun 20 2012Jul 31 2012There are a large number of systems characterized by a completely broken gauge symmetry, but with an unbroken global color-flavor diagonal symmetry, i.e., systems in the so-called color-flavor locked phase. If the gauge symmetry breaking supports vortices, ... More

Decaying shock studies of phase transitions in MgOSiO2 systems: implications for the Super-Earths interiorsApr 06 2016We report an experimental study of the phase diagrams of periclase (MgO), enstatite (MgSiO3) and forsterite (Mg2SiO4) at high pressures. We investigated with laser driven decaying shocks the pressure/temperature curves of MgO, MgSiO3 and Mg2SiO4 between ... More

Colorful boojums at the interface of a color superconductorAug 28 2012Dec 27 2012We study junctions of vortices, or boojums, at the interface between color and hadronic superconducting/superfluid phases. This type of interface could be present in the interior of neutron stars, where an inner core made of quark matter in the color-flavor-locked ... More

Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCDApr 11 2011We consider non-Abelian semilocal strings (vortices, or vortex-strings) arising in N=2 supersymmetric U(N) gauge theory with Nf=N+\~N matter hypermultiplets in the fundamental representation (quarks), and a Fayet-Iliopoulos term {\xi}. We present, for ... More

Simulated Quantum Annealing with Two All-to-All Connectivity SchemesMar 11 2016Aug 23 2016Quantum annealing aims to exploit quantum mechanics to speed up the search for the solution to optimization problems. Most problems exhibit complete connectivity between the logical spin variables after they are mapped to the Ising spin Hamiltonian of ... More

Static Interactions of non-Abelian VorticesNov 01 2007Nov 22 2007Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. The distinctive feature of a non-Abelian vortex is the presence of an internal CP^{N-1} space of orientational ... More

Experimental demonstration of an inertial collimation mechanism in nested outflowsMar 19 2014Interaction between a central outflow and a surrounding wind is common in astrophysical sources powered by accretion. Understanding how the interaction might help to collimate the inner central outflow is of interest for assessing astrophysical jet formation ... More

Quantum Dynamics of Low-Energy Theory on Semilocal Non-Abelian StringsJul 19 2011Sep 29 2011Recently a low-energy effective theory on non-Abelian semilocal vortices in SQCD with the U(N) gauge group and N + \tilde{N} quark flavors was obtained in field theory arXiv:1104.2077. The result is exact in a certain limit of large infrared cut-off. ... More

Estimating the distribution of Galaxy Morphologies on a continuous spaceJun 29 2014The incredible variety of galaxy shapes cannot be summarized by human defined discrete classes of shapes without causing a possibly large loss of information. Dictionary learning and sparse coding allow us to reduce the high dimensional space of shapes ... More

Non-Abelian Vortices with an Aharonov-Bohm EffectOct 04 2013Dec 23 2013The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices -- vortex solutions with continuous internal orientational moduli -- provide an example. Here ... More

Are LGRBs biased tracers of star formation? Clues from the host galaxies of the Swift/BAT6 complete sample of LGRBs. I: Stellar mass at z<1Sep 24 2014Jul 16 2015LGRBs are associated with massive stars and are therefore linked to star formation. The conditions necessary to produce LGRBs can affect the relation between the LGRB rate and star formation. By using the power of a complete LGRB sample, our aim is to ... More

Melting of iron close to Earth's inner core boundary conditions and beyondNov 08 2014Several important geophysical features such as heat flux at the Core-Mantle Boundary or geodynamo production are intimately related with the temperature profile in the Earth's core. However, measuring the melting curve of iron at conditions corresponding ... More

On the moduli space of semilocal strings and lumpsApr 17 2007Jun 28 2007We study BPS non-abelian semilocal vortices in U(Nc) gauge theory with Nf flavors, Nf > Nc, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces ... More

Link between laboratory and astrophysical radiative shocksJun 12 2008This work provides analytical solutions describing the post-shock structure of radiative shocks growing in astrophysics and in laboratory. The equations including a cooling function $\Lambda \propto \rho^{\epsilon} P^{\zeta} x^{\theta}$ are solved for ... More

Non-Abelian Vortices of Higher Winding NumbersJul 11 2006Oct 18 2006We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of co-axial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed ... More

Smooth Curve from noisy 2-Dimensional DatasetNov 29 2013In this paper we will be represent the transformation of a noisy dataset into a regular and smooth curve. We performed torsion test on 15Cr 15Ni Titanium modified austenitic stainless steel up to its rupture. We did it these torsion tests multiple strain ... More

Quantum annealing correction at finite temperature: ferromagnetic $p$-spin modelsOct 29 2016The performance of open-system quantum annealing is adversely affected by thermal excitations out of the ground state. While the presence of energy gaps between the ground and excited states suppresses such excitations, error correction techniques are ... More

Non-Abelian duality from vortex moduli: a dual model of color-confinementNov 28 2006May 16 2007It is argued that the dual transformation of non-Abelian monopoles occurring in a system with gauge symmetry breaking G -> H is to be defined by setting the low-energy H system in Higgs phase, so that the dual system is in confinement phase. The transformation ... More

Maximum-Entropy Inference with a Programmable AnnealerJun 26 2015Mar 01 2016Optimisation problems in science and engineering typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect to many variables. If the variables are corrupted by noise then this approach maximises ... More

On the Stability of Non-Abelian Semi-local VorticesOct 31 2008Mar 12 2009We study the stability of non-Abelian semi-local vortices based on an N=2 supersymmetric H = [SU(Nc) x U(1)]/Z_Nc = U(Nc) gauge theory with an arbitrary number of flavors (Nf > Nc) in the fundamental representation, when certain N=1 mass terms are present, ... More

Constructing Non-Abelian Vortices with Arbitrary Gauge GroupsFeb 07 2008Feb 15 2008We construct the general vortex solution in the fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos term. The vortex moduli ... More

Quantum Annealing Correction with Minor EmbeddingJul 09 2015Quantum annealing provides a promising route for the development of quantum optimization devices, but the usefulness of such devices will be limited in part by the range of implementable problems as dictated by hardware constraints. To overcome constraints ... More

Universal Reconnection of Non-Abelian Cosmic StringsSep 28 2006Mar 25 2007We show that local/semilocal strings in Abelian/non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of ... More

Hearing the Shape of the Ising Model with a Programmable Superconducting-Flux AnnealerJul 03 2013Sep 17 2014Two objects can be distinguished if they have different measurable properties. Thus, distinguishability depends on the Physics of the objects. In considering graphs, we revisit the Ising model as a framework to define physically meaningful spectral invariants. ... More

Consistency Tests of Classical and Quantum Models for a Quantum AnnealerMar 17 2014Apr 13 2015Recently the question of whether the D-Wave processors exhibit large-scale quantum behavior or can be described by a classical model has attracted significant interest. In this work we address this question by studying a 503 qubit D-Wave Two device in ... More

Quantum Variational AutoencoderFeb 15 2018Jan 12 2019Variational autoencoders (VAEs) are powerful generative models with the salient ability to perform inference. Here, we introduce a quantum variational autoencoder (QVAE): a VAE whose latent generative process is implemented as a quantum Boltzmann machine ... More

Fractional Vortices and LumpsMay 21 2009Aug 17 2009We study what might be called fractional vortices, vortex configurations with the minimum winding from the viewpoint of their topological stability, but which are characterized by various notable substructures in the transverse energy distribution. The ... More

Almost Envy-Free Allocations with Connected BundlesAug 28 2018We study the existence of allocations of indivisible goods that are envy-free up to one good (EF1), under the additional constraint that each bundle needs to be connected in an underlying item graph G. When the items are arranged in a path, we show that ... More

Non-Abelian Vortices in SO(N) and USp(N) Gauge TheoriesMar 25 2009Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories are constructed in maximally color-flavor locked vacua. We study in detail their moduli and transformation properties under the exact symmetry of the system. Our results generalize ... More

Lattice QCD study of $g_A^{N^*N^*}$ with two flavors of dynamical quarksNov 13 2007We report the first lattice QCD result of the axial charge of N(1535), $g_A^{N^*N^*}$. The measurement is performed with two flavors of dynamical quarks employing the renormalization-group improved gauge action at $\beta$=1.95 and the mean-field improved ... More

Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac linesApr 21 2016Jun 27 2016Three-dimensional topological semimetals come in different variants, either containing Weyl points or Dirac lines. Here we describe a more complicated momentum-space topological defect where several separate Dirac lines connect with each other, forming ... More

Quantum transitions induced by the third cumulant of current fluctuationsJun 23 2005Oct 14 2005We investigate the transitions induced by external current fluctuations on a small probe quantum system. The rates for the transitions between the energy states are calculated using the real-time Keldysh formalism for the density matrix evolution. We ... More

Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal CoveringsNov 30 1995Apr 26 1996A set of simple rules for constructing the maximal (e.g. analytic) extensions for any metric with a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of these rules is extremely straightforward, as is demonstrated ... More

Pre-critical Chiral Fluctuations in Nuclear Medium -- precursors of chiral restoration at $ρ_{B}\not=0 --Feb 10 1999Feb 26 1999It is shown that an enhancement in the spectral function near 2$m_{\pi}$ threshold in the I=J=0 channel is a good signal of the partial restoration of chiral symmetry in nuclear medium. Several experiments are discussed to detect the enhancement, which ... More

Including stereoscopic information in the reconstruction of coronal magnetic fieldsJan 21 2008Jan 23 2008We present a method to include stereoscopic information about the three dimensional structure of flux tubes into the reconstruction of the coronal magnetic field. Due to the low plasma beta in the corona we can assume a force free magnetic field, with ... More

Tension Dynamics and Linear Viscoelastic Behavior of a Single Semiflexible Polymer ChainMar 12 2009We study the dynamical response of a single semiflexible polymer chain based on the theory developed by Hallatschek et al. for the wormlike-chain model. The linear viscoelastic response under oscillatory forces acting at the two chain ends is derived ... More

A Z$_2$ index of Dirac operator with time reversal symmetryMay 22 2009With time reversal symmetry a Dirac operator has vanishing index and Chern number. We show that we can nevertheless define a nontrivial Z$_2$ index as well as a corresponding topological invariant given by gauge field, which implies that such a Dirac ... More

Quantization of non-Abelian Berry phase for time reversal invariant systemsMar 18 2009We present a quantized non-Abelian Berry phase for time reversal invariant systems such as quantum spin Hall effect. Ordinary Berry phase is defined by an integral of Berry's gauge potential along a loop (an integral of the Chern-Simons one-form), whereas ... More

Thermal Field Theory and Infinite StatisticsJun 17 1992Oct 28 1992We construct a quantum thermal field theory for scalar particles in the case of infinite statistics. The extension is provided by working out the Fock space realization of a "quantum algebra", and by identifying the hamiltonian as the energy operator. ... More

Stops in R-parity Breaking Model for High-$Q^2$ Events at HERAApr 03 1997We investigate an event excess in the reaction $e^+p \to e^+ X$ with large $x$ and high $Q^2$ observed at HERA and show that the events could naturally be interpreted as a signature of the production of the scalar top quarks (stops) in a supersymmetric ... More

Stochastic Variational Method as Quantization Scheme I: Field Quantization of Complex Klein-Gordan EquationJun 28 2013Jun 24 2014Stochastic Variational Method (SVM) is the generalization of the variation method to the case with stochastic variables. In the series of papers, we investigate the applicability of SVM as an alternative field quantization scheme. Here, we discuss the ... More

Dynamical Origin of Power SpectraDec 27 2008We discuss a possible origin of Tsallis' statistics from the correlation among constituents which reduces the phase space of the system. We also show that in the system of coupled linear harmonic oscillators can exhibit a Tsallis type behavior.

Memory Effects and Transport Coefficients for Non-Newtonian FluidsDec 22 2008We discuss the roles of viscosity in relativistic fluid dynamics from the point of view of memory effects. Depending on the type of quantity to which the memory effect is applied, different terms appear in higher order corrections. We show that when the ... More

A Study of a Real-Time Operating System on the Intel-Based Vme ControllersNov 09 2001Dec 17 2001In this paper, we described the performance differences between VME-based controllers, HP743rt/HP-RT and IA-based platforms. We measured some kind of real-time benchmarks and discussed a relation of architecture dependences.

Asymptotic behavior for quadratic variations of non-Gaussian multiparameter Hermite random fieldsNov 11 2016Dec 21 2017Let $(Z^{q, H}_t)_{t \in [0, 1]^d}$ denote a $d$-parameter Hermite random field of order $q \geq 1$ and self-similarity parameter $H = (H_1, \ldots, H_d) \in (\frac{1}{2}, 1)^d$. This process is $H$-self-similar, has stationary increments and exhibits ... More

Topological stability of Majorana zero-modes in superconductor-topological insulator systemsNov 13 2009Jan 29 2010We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more generic models ... More

Coarse Graining in Hydrodynamics and Effects of FluctuationsOct 14 2013We address the physical meaning of hydrodynamic approach related with the coarse graining scale in the frame work of variational formulation. We point out that the local thermal equilibrium does not necessarily play a critical role in the description ... More

Navier-Stokes Equation by Stochastic Variational MethodMay 31 2011Aug 24 2011We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are extended to ... More

Anisotropy of Low Energy Direct Photons in Relativistic Heavy Ion CollisionsMay 17 2016Jul 19 2016We investigate the behavior of low energy photons radiated by the deceleration processes of two colliding nuclei in relativistic heavy ion collisions using the Wigner function approach for electromagnetic radiation fields. The angular distribution reveals ... More

Discovery of a Faint Old Stellar System at 150 kpcOct 29 2006We report the detection of a faint old stellar system at $(\alpha,\delta)=(194.29^\circ,~34.32^\circ)$ (SDSS J1257+3419), based on the spatial distribution of bright red-giant branch stars in the Sloan Digital Sky Survey Data Release 4. SDSS J1257+3419 ... More

Varying Cu-Ti hybridization near the Fermi energy in Cu$_{x}$TiSe$_{2}$: Results from supercell calculationsDec 05 2006The properties of Cu$_{x}$TiSe$_{2}$ are studied by band structure calculation based on the density functional theory for supercells. The density-of-states (DOS) for $x$=0 has a sharply raising shoulder in the neighborhood of the Fermi energy, $E_F$, ... More

Deeply-bound $K^- pp$ state in the $^3$He(in-flight $K^-$, $n$) spectrum and its moving pole near the $πΣN$ thresholdJun 19 2009Nov 06 2009The formation of a deeply-bound $K^- pp$ state with $I=1/2$, $J^\pi=0^-$ by the $^3$He(in-flight $K^-$, $n$) reaction is theoretically investigated in a distorted-wave impulse approximation using the Green's function method. The expected inclusive and ... More

A Calculation on the Self-field of a Point Charge and the Unruh EffectNov 01 1999Jul 24 2000Within the context of quantum field theory in curved spacetimes, Hacyan and Sarmiento defined the vacuum stress-energy tensor with respect to the accelerated observer. They calculated it for uniform acceleration and circular motion, and derived that the ... More

A Framework to Prevent QR Code Based Phishing AttacksJan 30 2016Though the rapid development and spread of Information and Communication Technology (ICT) making people's life much more easier, on the other hand it causing some serious threats to the society. Phishing is one of the most common cyber threat, that most ... More

Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary TopologyJul 30 1996Aug 13 1997All global solutions of arbitrary topology of the most general 1+1 dimensional dilaton gravity models are obtained. We show that for a generic model there are globally smooth solutions on any non-compact 2-surface. The solution space is parametrized explicitly ... More

Precritical Chiral Fluctuations in NucleiJan 11 1999Spectral enhancement near 2 m_{\pi} threshold in the I=J=0 channel in nuclei is shown to be a distinct signal of the partial restoration of chiral symmetry. The relevance of this phenomenon with possible detection of 2\pi^{0} and 2\gamma in hadron-nucleus ... More

Computing nonlinear force free coronal magnetic fieldsJan 21 2008Knowledge of the structure of the coronal magnetic field is important for our understanding of many solar activity phenomena, e.g. flares and CMEs. However, the direct measurement of coronal magnetic fields is not possible with present methods, and therefore ... More

Cochlear-bone wave can yield a hearing sensation as well as otoacoustic emissionAug 10 2014A hearing sensation arises when the elastic basilar membrane inside the cochlea vibrates. The basilar membrane is typically set into motion through airborne sound that displaces the middle ear and induces a pressure difference across the membrane. A second, ... More

Non-empirical nuclear energy functionals, pairing gaps and odd-even mass differencesJul 06 2009First, we briefly outline some aspects of the starting project to design non-empirical energy functionals based on low-momentum vacuum interactions and many-body perturbation theory. Second, we present results obtained within an approximation of such ... More

Non-empirical pairing functionalNov 27 2007Dec 07 2007The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the effects of Coulomb ... More

A Solution to the Polonyi Problem in the Minimum SUSY-GUTMar 16 1994We show that the Polonyi problem is solved in the minimum SUSY-GUT model in which a self-coupling strength for a heavy Higgs $\Sigma$, $\lambda\Sigma^{3}$, is very small $\lambda\sim 10^{-6}$. It is stressed that with this small $\lambda$ the mass of ... More

Spin physics in deep inelastic scattering: SummaryFeb 02 1999The problem of our understanding of the spin structure of the nucleon has been with us since the publication of the EMC measurements of the polarised structure function of the proton in 1987. In this talk a review of the results presented in Working Group ... More

Strong-coupling effects in the relaxation dynamics of ultracold neutral plasmasMar 01 2005We describe a hybrid molecular dynamics approach for the description of ultracold neutral plasmas, based on an adiabatic treatment of the electron gas and a full molecular dynamics simulation of the ions, which allows us to follow the long-time evolution ... More

Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensionsSep 09 2016We rederive the spectral asymmetry of the Wilson-Dirac model in external fields, paying attention to the Chern number due to the Berry connection. We interpret the smooth part of the spectral asymmetry as the Streda formula which is originally derived ... More

Towards a Generic Parametrisation of "New Physics" in Quark-Flavour MixingJun 05 2003We consider a special class of dimension-six operators which are assumed to be induced by some new physics with typical scales of order \Lambda. This special class are the operators with two quarks which can mediate transitions between quark flavours. ... More

Lie algebras and degenerate Affine Hecke Algebras of type AOct 30 1997Apr 21 1998We construct a family of exact functors from the BGG category of representations of the Lie algebra sl to the category of finite-dimensional representations of the degenerate (or graded) affine Hecke algebra H of GL. These functors transform Verma modules ... More

The Configuration Space of Low-dimensional Yang-Mills TheoriesJan 26 1998We discuss the construction of the physical configuration space for Yang-Mills quantum mechanics and Yang-Mills theory on a cylinder. We explicitly eliminate the redundant degrees of freedom by either fixing a gauge or introducing gauge invariant variables. ... More

Relativistic generalization of Brownian MotionOct 10 2007The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution ... More

Simulation Study of Solar Plasma Eruptions Caused by Interactions between Emerging Flux and Coronal Arcade FieldsOct 01 2014We investigate the triggering mechanisms of plasma eruptions in the solar atmosphere due to interactions between emerging flux and coronal arcade fields by using two-dimensional MHD simulations. We perform parameter surveys with respect to arcade field ... More

A Global View of Kinks in 1+1 GravityJul 25 1997Following Finkelstein and Misner, kinks are non-trivial field configurations of a field theory, and different kink-numbers correspond to different disconnected components of the space of allowed field configurations for a given topology of the base manifold. ... More

Complete Classification of 1+1 Gravity SolutionsNov 25 1997A classification of the maximally extended solutions for 1+1 gravity models (comprising e.g. generalized dilaton gravity as well as models with non-trivial torsion) is presented. No restrictions are placed on the topology of the arising solutions, and ... More

The $σ$-meson and $π$-$π$ Correlation in Hot/Dense Medium: soft modes for chiral transition in QCDDec 11 2001After a brief overview of the realization of chiral symmetry in hot and/or dense medium, the implications of the existence of a light scalar-isoscalar meson (which we call $\sigma$ throughout this report) are discussed in the vacuum and in the medium. ... More

Geometric Origin of Large Lepton Mixing in a Higher Dimensional SpacetimeMay 09 2002Aug 02 2002The large mixing in the lepton sector observed in the recent neutrino-oscillation experiments strongly suggest that nature of left-handed lepton doublets is very different from that of left-handed quark doublets. This means that there is a big disparity ... More

Higher Dimensional Supersymmetry as an Origin of the Three Families for Quarks and LeptonsJan 11 2002May 09 2002In a (0,1) supersymmetric (SUSY) six-dimensional gauge theory, a gauge fermion gives rise to box anomalies. These anomalies are completely canceled by assuming a vector multiplet of (1,1) SUSY. With a T^2/Z_3 orbifold compactification of the extra two ... More

N = 2 Supersymmetry in a Hybrid Inflation ModelNov 30 2000The slow roll inflation requires an extremely flat inflaton potential. The supersymmetry (SUSY) is not only motivated from the gauge hierarchy problem, but also from stabilizing that flatness of the inflaton potential against radiative corrections. However, ... More

Polarized light flavor sea-quark asymmetry in polarized semi-inclusive processesMay 11 1999Oct 08 1999We propose new formulas for extracting a difference of the polarized light sea-quark density, $\Delta\bar d(x)-\Delta\bar u(x)$, from polarized deep-inelastic semi-inclusive data. We have estimated the value of it from the present experimental data measured ... More

Non-Central Limit Theorem for Quadratic Functionals of Hermite-Driven Long Memory Moving Average ProcessesJul 27 2016Let $(Z_t^{(q, H)})_{t \geq 0}$ denote a Hermite process of order $q \geq 1$ and self-similarity parameter $H \in (\frac{1}{2}, 1)$. Consider the Hermite-driven moving average process $$X_t^{(q, H)} = \int_0^t x(t-u) dZ^{(q, H)}(u), \qquad t \geq 0.$$ ... More

Theory of Stochastic Shock Drift Acceleration for Electrons in the Shock Transition RegionMar 06 2019We propose a novel electron acceleration mechanism, which we call stochastic shock drift acceleration (SSDA), that extends the standard shock drift acceleration (SDA) for low-energy electrons at a quasi-perpendicular shock to include the effect of stochastic ... More

Orthogonal polynomials in several non-commuting variables. IIDec 29 2004In this paper we continue to investigate a certain class of Hankel-like positive definite kernels using their associated orthogonal polynomials. The main result of this paper is about the structure of this kind of kernels.

Supersymmetric Grand Unification Model with the Orbifold Symmetry Breaking in the Six Dimensional SupergravityAug 19 2001We construct supersymmetric (SUSY) grand unification (GUT) models in the six dimensional space-time where the GUT symmetry is broken down to the standard-model gauge group by a simple orbifolding T^2/Z_4 or T^2/Z_6 and a pair of massless Higgs doublets ... More

Semi-Simple Unification on T^6/Z_12 Orientifold in the Type IIB SupergravityAug 06 2001The semi-simple unification model based on SU(5)_GUT \times U(3)_H gauge group is an interesting extension of the minimal SU(5)_GUT grand unification theory (GUT), since it solves the two serious problems in the standard GUT: the triplet-doublet splitting ... More

Small Violation of Universal Yukawa Coupling and Neutrino Large MixingSep 15 2000We assume the universal Yukawa coupling (democratic mass matrix) with small violations for quarks, charged leptons and neutrinos masses. We could reproduce the mass hierarchy for quark masses and V_{CKM} matrix elements precisely. We adopt the see-saw ... More

Dynamics of a tagged particle in the asymmetric exclusion process with the step initial conditionFeb 02 2007Jul 06 2007The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial condition. Calculated is the multi-time joint distribution function of ... More

Polynuclear growth model, GOE$^2$ and random matrix with deterministic sourceNov 17 2004We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources. It is shown that the distribution, GOE$^2$, which is defined as the square ... More

Fluctuations of a one-dimensional polynuclear growth model in a half spaceJul 01 2003We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a determinantal process, ... More

Quark beta decay in an inhomogeneous chiral phase and cooling of hybrid starsSep 28 2012We discuss the cooling of hybrid stars by considering the neutrino emission from quark matter. As a current topic the appearance of various inhomogeneous chiral phases have been studied near the chiral transition. Here we consider the dual-chiral-density-wave ... More