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Detailed AGB evolutionary models and near infrared colours of intermediate-age stellar populations: Tests on star clustersMar 11 2014We investigate the influence of Asymptotic Giant Branch stars on integrated colours of star clusters of ages between ~100 Myr and a few gigayears, and composition typical for the Magellanic Clouds. We use state-of-the-art stellar evolution models that ... More

A Novel Mutual Information-based Feature Selection AlgorithmJul 25 2016From a machine learning point of view to identify a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this goal, feature selection ... More

Old and young stellar populations in DustPedia galaxies and their role in dust heatingMar 14 2019Within the framework of the DustPedia project we investigate the properties of cosmic dust and its interaction with the stellar radiation (originating from different stellar populations) for 814 galaxies in the nearby Universe, all observed by the Herschel ... More

A systematic metallicity study of DustPedia galaxies reveals evolution in the dust-to-metal ratiosJan 25 2019Observations of evolution in the dust-to-metal ratio allow us to constrain the dominant dust processing mechanisms. In this work, we present a study of the dust-to-metal and dust-to-gas ratios in a sub-sample of ~500 DustPedia galaxies. Using literature ... More

The stellar mass - halo mass relation from galaxy clustering in VUDS: a high star formation efficiency at z~3Dec 17 2014The relation between the galaxy stellar mass M_star and the dark matter halo mass M_h gives important information on the efficiency in forming stars and assembling stellar mass in galaxies. We present the stellar mass to halo mass ratio (SMHR) measurements ... More

The VIMOS Ultra Deep Survey First Data Release: spectra and spectroscopic redshifts of 698 objects up to z~6 in CANDELSFeb 04 2016This paper describes the first data release (DR1) of the VIMOS Ultra Deep Survey (VUDS). The DR1 includes all low-resolution spectroscopic data obtained in 276.9 arcmin2 of the CANDELS-COSMOS and CANDELS-ECFDS survey areas, including accurate spectroscopic ... More

A Cross-Entropy-based Method to Perform Information-based Feature SelectionJul 25 2016May 22 2017From a machine learning point of view, identifying a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this goal, feature ... More

The VIMOS Ultra-Deep Survey (VUDS): fast increase of the fraction of strong Lyman alpha emitters from z=2 to z=6Mar 14 2014Oct 13 2014Aims. The aim of this work is to constrain the evolution of the fraction of Lya emitters among UV selected star forming galaxies at 2<z<6, and to measure the stellar escape fraction of Lya photons over the same redshift range. Methods. We exploit the ... More

Discovery of a rich proto-cluster at z=2.9 and associated diffuse cold gas in the VIMOS Ultra-Deep Survey (VUDS)Mar 14 2014Aug 07 2014[Abridged] We characterise a massive proto-cluster at z=2.895 that we found in the COSMOS field using the spectroscopic sample of the VIMOS Ultra-Deep Survey (VUDS). This is one of the rare structures at z~3 not identified around AGNs or radio galaxies, ... More

The VIMOS Ultra-Deep Survey: ~10,000 galaxies with spectroscopic redshifts to study galaxy assembly at early epochs 2<z<~6Mar 16 2014We present the VIMOS Ultra Deep Survey (VUDS), a spectroscopic redshift survey of ~10.000 very faint galaxies to study the major phase of galaxy assembly 2<z<~6. The survey covers 1 deg^2 in 3 separate fields: COSMOS, ECDFS and VVDS-02h, with targets ... More

The evolving SFR-M_star relation and sSFR since z~5 from the VUDS spectroscopic surveyNov 20 2014We study the evolution of the star formation rate (SFR) - stellar mass (M_star) relation and specific star formation rate (sSFR) of star forming galaxies (SFGs) since a redshift z~5.5 using 2435 (4531) galaxies with highly reliable (reliable) spectroscopic ... More

The Lyman Continuum escape fraction of galaxies at z=3.3 in the VUDS-LBC/COSMOS fieldSep 03 2015The Lyman continuum (LyC) flux escaping from high-z galaxies into the IGM is a fundamental quantity to understand the physical processes involved in the reionization epoch. We have investigated a sample of star-forming galaxies at z~3.3 in order to search ... More

A numerical method for imaging of biological microstructures by VHF wavesApr 26 2013Imaging techniques give a fundamental support to medical diagnostics during the pathology discovery as well as for the characterization of biological structures. The imaging methods involve electromagnetic waves in a frequency range that spans from some ... More

DustPedia - A Definitive Study of Cosmic Dust in the Local UniverseSep 20 2016The European Space Agency has invested heavily in two cornerstones missions; Herschel and Planck. The legacy data from these missions provides us with an unprecedented opportunity to study cosmic dust in galaxies so that we can answer fundamental questions ... More

Deterministic Soluble Model of CoarseningJul 23 1996We investigate a 3-phase deterministic one-dimensional phase ordering model in which interfaces move ballistically and annihilate upon colliding. We determine analytically the autocorrelation function A(t). This is done by computing generalized first-passage ... More

Impact of string and monopole-type junctions on domain wall dynamics: implications for dark energyNov 19 2009Nov 22 2009We investigate the potential role of string and monopole-type junctions in the frustration of domain wall networks using a velocity-dependent one-scale model for the characteristic velocity, $v$, and the characteristic length, $L$, of the network. We ... More

Scaling laws for weakly interacting cosmic (super)string and p-brane networksFeb 28 2012In this paper we find new scaling laws for the evolution of $p$-brane networks in $N+1$-dimensional Friedmann-Robertson-Walker universes in the weakly-interacting limit, giving particular emphasis to the case of cosmic superstrings ($p=1$) living in a ... More

Red giant variables: OGLE--II and MACHOSep 21 2005We review the recent impact of microlensing projects on our understanding of pulsating red giant stars. Discussed are red giant stars' pulsation properties (period--luminosity relations, period changes, mode switchings), Red Giant Branch pulsations, metallicity ... More

Exact asymptotic form of the exchange interactions between shallow centers in doped semiconductorsJun 10 2003Aug 05 2003The method developed in [L. P. Gor'kov and L. P. Pitaevskii, Sov. Phys. Dokl. 8, 788 (1964); C. Herring and M. Flicker, Phys. Rev. 134, A362 (1964)] to calculate the asymptotic form of exchange interactions between hydrogen atoms in the ground state is ... More

Exact Results for Kinetics of Catalytic ReactionsAug 25 1995The kinetics of an irreversible catalytic reaction on substrate of arbitrary dimension is examined. In the limit of infinitesimal reaction rate (reaction-controlled limit), we solve the dimer-dimer surface reaction model (or voter model) exactly in arbitrary ... More

The Stochastic Gravitational Wave Background Generated by Cosmic String Networks: the Small-Loop RegimeMar 11 2014We consider an alternative approach for the computation of the stochastic gravitational wave background generated by small loops produced throughout the cosmological evolution of cosmic string networks and use it to derive an analytical approximation ... More

Evolution of domain wall networks: the PRS algorithmJan 17 2011The Press-Ryden-Spergel (PRS) algorithm is a modification to the field theory equations of motion, parametrized by two parameters ($\alpha$ and $\beta$), implemented in numerical simulations of cosmological domain wall networks, in order to ensure a fixed ... More

p-brane dynamics in (N+1)-dimensional FRW universes: a unified frameworkMar 07 2011We develop a velocity-dependent one-scale model describing p-brane dynamics in flat homogeneous and isotropic backgrounds in a unified framework. We find the corresponding scaling laws in frictionless and friction dominated regimes considering both expanding ... More

Fixation in a cyclic Lotka-Volterra modelJan 05 1998We study a cyclic Lotka-Volterra model of N interacting species populating a d-dimensional lattice. In the realm of a Kirkwood approximation, a critical number of species N_c(d) above which the system fixates is determined analytically. We find N_c=5,14,23 ... More

Spin relaxation and antisymmetric exchange in n-doped III-V semiconductorSep 05 2002Nov 07 2002Recently K. Kavokin [Phys. Rev. B 64, 075305 (2001)] suggested that the Dzyaloshinskii-Moriya interaction between localized electrons governs slow spin relaxation in $n$-doped GaAs in the regime close to the metal-insulator transition. We derive the correct ... More

Scaling at chiral quantum critical points in two dimensionsApr 03 2012We study the localization properties of electrons moving on two-dimensional bi-partite lattices in the presence of disorder. The models investigated exhibit a chiral symmetry and belong to the chiral orthogonal (chO), chiral symplectic (chS) or chiral ... More

Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional latticesApr 09 2010We analyze the scaling behavior of the two smallest Lyapunov exponents for electrons propagating on two-dimensional lattices with energies within a very narrow interval around the chiral critical point at E=0 in the presence of a perpendicular random ... More

Stochastic Dynamics of Growing Young Diagrams and Their Limit ShapesJun 02 2016We investigate a class of growing two-dimensional Young diagrams parametrized by a non-negative integer r, the minimal difference between the heights of adjacent columns. The limit shapes emerging in the long time limit are analytically determined, and ... More

Slow Cooling of an Ising FerromagnetJan 05 2010A ferromagnetic Ising chain which is endowed with a single-spin-flip Glauber dynamics is investigated. For an arbitrary annealing protocol, we derive an exact integral equation for the domain wall density. This integral equation admits an asymptotic solution ... More

Inhomogeneous quantum groups IGL_{q,r}(N): Universal enveloping algebra and differential calculusAug 05 1994A review of the multiparametric linear quantum group GL_qr(N), its real forms, its dual algebra U(gl_qr(N)) and its bicovariant differential calculus is given in the first part of the paper. We then construct the (multiparametric) linear inhomogeneous ... More

Abelian monopole condensation in lattice gauge theoriesSep 08 1999We investigate the dynamics of lattice gauge theories in an Abelian monopole background field. By means of the gauge-invariant lattice Schrodinger functional we study the Abelian monopole condensation in U(1) lattice gauge theory at zero temperature and ... More

On the Meissner effect in SU(2) lattice gauge theoryNov 19 1993We investigate the dual superconductor model of color confinement in SU(2) lattice gauge theory. We find that the transverse distribution of the longitudinal chromoelectric field between static quarks displays the dual Meissner effect. We also give evidence ... More

On the Primordial Magnetic Field from Domain WallsNov 08 2002In this paper we discuss once more the zero mode contribution to the vacuum energy density. We show that a careful treatment of the zero modes leads to the conclusion that domain walls may be ferromagnetic, and could generate a magnetic field of cosmological ... More

Limits on direct detection of neutralino dark matter from b -> s gamma decaysOct 09 1995We analyze the rate of detection of minimal supersymmetric neutralino dark matter in germanium, sapphire and sodium iodide detectors, imposing cosmological and recent accelerator bounds including those from \bsg\ decay. We find, in contrast with several ... More

Spin Dynamics of a Fermi Liquid in an Electric FieldAug 06 1999Aug 18 1999The influence of an external electric field on the spin dynamics of an electrically neutral Fermi liquid is considered, the mechanism of such an influence being the relativistic spin-orbital interaction. As a result, Leggett's equations for the spin dynamics ... More

Probability tablesMar 10 2004The idea of writing a table of probabilistic data for a quantum or classical system, and of decomposing this table in a compact way, leads to a shortcut for Hardy's formalism, and gives new perspectives on foundational issues.

Massive scalar Casimir interaction beyond proximity force approximationJun 24 2015Since massive scalar field plays an important role in theoretical physics, we consider the interaction between a sphere and a plate due to the vacuum fluctuation of a massive scalar field. We consider combinations of Dirichlet and Neumann boundary conditions. ... More

The Casimir interaction of a massive vector field between concentric spherical bodiesDec 10 2010The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct generalization of the massless ... More

Finite temperature Casimir effect in spacetime with extra compactified dimensionsDec 26 2008In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the piston analysis, ... More

Finite temperature Casimir effect for massive scalar field in spacetime with extra dimensionsMar 23 2009Mar 25 2009We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a background spacetime ... More

Lithium-rich giants in the Sagittarius dSph Tidal StreamsMar 31 2008The nature and origin of Lithium rich giant stars is still matter of debate. In the contest of our spectroscopic survey of giants in the tidal streams of the Sagittarius dwarf spheroidal (dSph) galaxy, we present the serendipitous discovery of 2 super ... More

Probability distribution of the order parameter in the directed percolation universality classSep 09 2012The probability distributions of the order parameter for two models in the directed percolation universality class were evaluated. Monte Carlo simulations have been performed for the one-dimensional generalized contact process and the Domany-Kinzel cellular ... More

Projective Space: Reguli and ProjectivityJun 26 2015We investigate an `assumption of projectivity' that is appropriate to the self-dual axiomatic formulation of three-dimensional projective space.

Painlevé IV: roots and zerosSep 08 2016We consider the (real) fourth Painlev\'e equation in which both parameters vanish, analyzing the square-roots of its solutions and paying special attention to their zeros.

Gravitational Localization of Matters in 6DAug 05 2003Aug 23 2003We present a new 3-brane solution to Einstein's equations in (1+5)-spacetime with a negative bulk cosmological constant. This solution is a stringlike defect solution with decreasing scale function approaching a finite non-zero value in the radial infinity. ... More

The converging inflow spectrum is an intrinsic signature for a black hole: Monte-Carlo simulations of Comptonization on free-falling electronsAug 03 1998An accreting black hole is, by definition, characterized by the drain. Namely, the matter falls into a black hole much the same way as water disappears down a drain - matter goes in and nothing comes out. As this can only happen in a black hole, it provides ... More

Painlevé II transcendents and their squaresSep 22 2016We examine the relationship between the homogeneous second Painlev\'e equation and equation ${\bf XX}$ from the master list recorded by Ince.

Statistics of the Microwave Background Anisotropies Caused by the Squeezed Cosmological PerturbationsApr 26 1995It is likely that the observed large-angular-scale anisotropies in the microwave background radiation are induced by the cosmological perturbations of quantum-mechanical origin. Such perturbations are now placed in squeezed vacuum quantum states and, ... More

Comments on the paper by E. Gjerlow and O. Elgaroy "Are all modes created equal ? An analysis of the WMAP 5- and 7-year data without inflationary prejudice"Dec 03 2010The amount and characteristics of quantum-mechanically generated relic gravitational waves and primordial density perturbations is a subject of great theoretical and observational importance. Unfortunately, this subject is deeply contaminated by inflationary ... More

Discovering Relic Gravitational Waves in Cosmic Microwave Background RadiationJul 23 2007Mar 07 2010The authority of J. A. Wheeler in many areas of gravitational physics is immense, and there is a connection with the study of relic gravitational waves as well. I begin with a brief description of Wheeler's influence on this study. One part of the paper ... More

Relic Gravitational Waves and CosmologyApr 05 2005Mar 05 2006This is an expanded version of my talk given at the international conference "Zeldovich-90". I start with a brief recollection of interactions with Zeldovich in the context of the study of relic gravitational waves. I then summarise the principles and ... More

On the Detectability of Relic (Squeezed) Gravitational WavesMar 20 1999The expected amplitudes and spectral slopes of relic gravitational waves, plus their specific correlation properties associated with the phenomenon of squeezing, may allow the registration of relic (squeezed) gravitational waves by the first generation ... More

Cosmological Perturbations of Quantum-Mechanical Origin and Anisotropy of the Microwave BackgroundApr 01 1993Cosmological perturbations generated quantum-mechanically (as a particular case, during inflation) possess statistical properties of squeezed quantum states. The power spectra of the perturbations are modulated and the angular distribution of the produced ... More

Van der Waals forces and spatial dispersionMay 21 2009A version of the Green's functions theory of the Van der Waals forces which can be conveniently used in the presence of spatial dispersion is presented. The theory is based on the fluctuation-dissipation theorem and is valid for interacting bodies, separated ... More

Superfluid Fermi liquid in a unitary regimeSep 16 2008A short popular review of theoretical and experimental results about properties of ultracold Fermi gases in vicinity of the Feshbach resonance is presented. The paper is based on the authors talk on the meeting of the Physical Department of the Russian ... More

Why and when the Minkowski's stress tensor can be used in the problem of Casimir force acting on bodies embedded in mediaMay 31 2005Jun 03 2005It is shown that the criticism by Raabe and Welsch of the Dzyaloshinskii-Lifshitz-Pitaevskii theory of the van der Waals-Casimir forces inside a medium is based on misunderstandings. It is explained why and at which conditions one can use the ''Minkowski-like ... More

Discrete Symmetries from Broken $SU(N)$ and the MSSMJul 10 1992In order that discrete symmetries should not be violated by gravitational effects, it is necessary to gauge them. In this paper we discuss the gauging of $\Z_N$ from the breaking of a high energy $SU(N)$ gauge symmetry, and derive consistency conditions ... More

Study of the effect of metallicity on the amplitudes of CepheidsMay 15 2007Results concerning the dependence of photometric and radial velocity amplitudes on metallicity are presented based on about 200 Galactic classical Cepheids pulsating in the fundamental mode. The Galactic distribution of the [Fe/H] value of Cepheids is ... More

Problems and possibilities in fine-tuning of the Cepheid P-L relationshipJan 10 2012Factors contributing to the scatter around the ridge-line period-luminosity relationship are listed, followed by a discussion how to eliminate the adverse effects of these factors (mode of pulsation, crossing number, temperature range, reddening, binarity, ... More

Two-dimensional bright solitons in dipolar Bose-Einstein condensatesMar 01 2005We analyze the physics of bright solitons in two-dimensional dipolar Bose-Einstein condensates. These solitons are not possible in short-range interacting gases. In particular, we discuss the necessary conditions for the existence of stable 2D bright ... More

Projective Space: Tetrads and HarmonicityDec 06 2016Within an axiomatic framework for three-dimensional projective space based on lines alone, we explore the Fano axiom of harmonicity according to which the diagonal lines of a complete quadrilateral are not concurrent.

The triple-zero Painlevé I transcendentJul 24 2016We offer elementary proofs for fundamental properties of the unique triple-zero solution to the first Painlev\'e equation.

Geometric phase of an atom in a magnetic storage ringOct 26 2006Jan 19 2007A magnetically trapped atom experiences an adiabatic geometric (Berry's) phase due to changing field direction. We investigate theoretically such an Aharonov-Bohm-like geometric phase for atoms adiabatically moving inside a storage ring as demonstrated ... More

Implicational CompletenessNov 10 2015We present a proof of completeness for the implicational propositional calculus, based on a variant of the Lindenbaum procedure.

Index theory for partial-bijectionsOct 08 2015We offer streamlined proofs of fundamental theorems regarding the index theory for partial self-maps of an infinite set that are bijective between cofinite subsets.

The Clifford algebra and its antidualJul 01 2017We analyze the purely algebraic antidual $C'(V)$ of the complex Clifford algebra $C(V)$ over a real inner product space $V$. In particular, we introduce a partially defined product in $C'(V)$ and study its properties.

Star-covering properties: generalized $Ψ$-spaces, countability conditions, reflectionMar 29 2011We investigate star-covering properties of $\Psi$-like spaces. We show star-Lindel\"ofness is reflected by open perfect mappings. In addition, we offer a new equivalence of CH.

$\mathbf L^1$ completeness for Fourier seriesSep 26 2017We note that the Fubini theorem may be used to prove that an $L^1$ function is determined by its Fourier coefficients.

An infinitude of proofs of the infinitude of primesOct 02 2006Oct 03 2006In this note we generalise a method of Perott to give new proofs that there are infinitely many prime numbers.

Bessel function asymptotics: a relation due to LommelJul 30 2018We show that the Bessel function asymptotic relation $J_{\nu}^2(z) + J_{\nu + 1}^2 (z) \sim 2/(\pi z)$ of Lommel is valid when $z$ is real but can fail otherwise.

On exponential functionals of processes with independent incrementsOct 27 2016Mar 08 2018In this paper we study the exponential functionals of the processes $X$ with independent increments , namely $$I_t= \int _0^t\exp(-X_s)ds, _,\,\, t\geq 0,$$ and also $$I_{\infty}= \int _0^{\infty}\exp(-X_s)ds.$$ When $X$ is a semi-martingale with absolutely ... More

Cayley-Sylvester invariants and the Hamilton equationsMay 09 2015We note implications of the Cayley-Sylvester theory of invariants and covariants for the Hamilton equations generated by cubic and quartic Hamiltonian functions.

Symmetric and Asymmetric Tendencies in Stable Complex SystemsDec 23 2015Aug 23 2016A commonly used approach to study stability in a complex system is by analyzing the Jacobian matrix at an equilibrium point of a dynamical system. The equilibrium point is stable if all eigenvalues have negative real parts. Here, by obtaining eigenvalue ... More

Algebraic combinatorics on trace monoids: extending number theory to walks on graphsJan 08 2016Oct 20 2016Partially commutative monoids provide a powerful tool to study graphs, viewingwalks as words whose letters, the edges of the graph, obey a specific commutation rule. A particularclass of traces emerges from this framework, the hikes, whose alphabet is ... More

Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant EvolutionApr 09 2013We compute the power spectrum of the stochastic gravitational wave background generated by cosmic string networks described by the Velocity-Dependent One-Scale (VOS) model, for a wide range of macroscopic and microscopic parameters. The VOS model --- ... More

Domain wall network evolution in (N+1)-dimensional FRW universesJan 18 2011We develop a velocity-dependent one-scale model for the evolution of domain wall networks in flat expanding or collapsing homogeneous and isotropic universes with an arbitrary number of spatial dimensions, finding the corresponding scaling laws in frictionless ... More

On particle creation/decay in nonminimally coupled models of gravityJan 18 2019In extended models of gravity a nonminimal coupling to matter has been assumed to lead to irreversible particle creation. In this paper we challenge this assumption. We argue that a non-minimal coupling of the matter and gravitational sectors results ... More

Thermodynamics of Cosmic Defect Network EvolutionNov 02 2015We show that simple thermodynamic conditions determine, to a great extent, the equation of state and dynamics of cosmic defects of arbitrary dimensionality. We use these conditions to provide a more direct derivation of the Velocity-dependent One-Scale ... More

Cosmic Microwave Background anisotropies generated by domain wall networksJul 04 2015We develop a numerical tool for the fast computation of the temperature and polarization power spectra generated by domain wall networks, by extending the publicly available CMBACT code --- that calculates the CMB signatures generated by active sources ... More

The cosmological evolution of p-brane networksJul 22 2011In this paper we derive, directly from the Nambu-Goto action, the relevant components of the acceleration of cosmological featureless $p$-branes, extending previous analysis based on the field theory equations in the thin-brane limit. The component of ... More

Observational Constraints on Varying-alpha Domain WallsApr 13 2014May 05 2015We consider the possibility that current hints of spatial variations of the fine structure constant at high redshift, based on VLT/UVES and Keck/HIRES observations, could be caused by a biased domain wall network described by a scalar field non-minimally ... More

Transversality of CR mappingsOct 20 2004Jun 09 2005We prove here new results about transversality and related geometric properties of a holomorphic, formal, or CR mapping, sending one generic submanifold of $\bC^N$ into another. One of our main results is that a finite mapping is transversal to the target ... More

The one-dimensional XXZ model with long-range interactionsAug 16 2000The one-dimensional XXZ model (s=1/2, N sites) with uniform long-range interactions among the transverse components of the spins is considered. The Hamiltonian of the model is explicitly given by $H=J\sum_{j=1}^{N}(s_{j}^{x}s_{j+1}^{x}+s_{j}^{y}s_{j+1}^{y}) ... More

Reaction-Diffusion Processes with Nonlinear DiffusionJul 25 2012Oct 29 2012We study reaction-diffusion processes with concentration-dependent diffusivity. First, we determine the decay of the concentration in the single-species and two-species diffusion-controlled annihilation processes. We then consider two natural inhomogeneous ... More

Limiting Shapes of Ising Droplets, Ising Fingers, and Ising SolitonsNov 27 2011Mar 08 2012We examine the evolution of an Ising ferromagnet endowed with zero-temperature single spin-flip dynamics. A large droplet of one phase in the sea of the opposite phase eventually disappears. An interesting behavior occurs in the intermediate regime when ... More

Critical conductance of the chiral 2d random flux modelAug 27 2007Aug 29 2007The two-terminal conductance of a random flux model defined on a square lattice is investigated numerically at the band center using a transfer matrix method. Due to the chiral symmetry, there exists a critical point where the ensemble averaged mean conductance ... More

The trivial Higgs boson: first evidences from LHCJun 21 2011We further elaborate on the triviality and spontaneous symmetry breaking scenario where the Higgs boson without self-interaction coexists with spontaneous symmetry breaking. The trivial Higgs boson is rather heavy with mass m_H = 754 +/- 20 (stat) +/- ... More

Abelian chromomagnetic background field at finite temperature on the latticeJan 30 2001The vacuum dynamics of SU(2) and SU(3) lattice gauge theories is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional at finite temperature. In the case of the SU(3) gauge theory numerical simulations ... More

Unstable Modes in Three-Dimensional SU(2) Gauge TheoryMar 09 1993We investigate SU(2) gauge theory in a constant chromomagnetic field in three dimensions both in the continuum and on the lattice. Using a variational method to stabilize the unstable modes, we evaluate the vacuum energy density in the one-loop approximation. ... More

Consistency of the Shannon entropy in quantum experimentsFeb 06 2003Jul 19 2004The consistency of the Shannon entropy, when applied to outcomes of quantum experiments, is analysed. It is shown that the Shannon entropy is fully consistent and its properties are never violated in quantum settings, but attention must be paid to logical ... More

Quantum Charge Transport and Conformational Dynamics of MacromoleculesFeb 14 2012We study the dynamics of quantum excitations inside macromolecules which can undergo conformational transitions. In the first part of the paper, we use the path integral formalism to rigorously derive a set of coupled equations of motion which simultaneously ... More

Study of Macroscopic Coherence and Decoherence in the SQUID by Adiabatic InversionApr 27 2000We suggest a procedure for demonstrating quantum coherence and measuring decoherence times between different fluxoid states of a SQUID by using ``adiabatic inversion'', where one macroscopic fluxoid state is smoothly transferred into the other, like a ... More

Hypercomplex quantum mechanicsFeb 01 1996The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective geometry of the ... More

Warped generalized geometry compactifications, effective theories and non-perturbative effectsMar 21 2008Summarizing the results of arXiv:0707.1038, we discuss the four-dimensional effective approach to type II N=1 supersymmetric flux compactifications with general SU(3)x SU(3)-structure. In particular, we study the effect of a non-trivial warp factor, which ... More

Correlation energy of fractional-quantum-Hall-effect systems of composite fermionsNov 16 1994We find the RPA correlation energy and collective modes of the systems of composite fermions corresponding to the fillings of $1/3$, $1/5$, $2/5$ in the fractional quantum Hall effect. It is verified that transmutations to composite fermions do not change ... More

Correctness of depiction in planar diagrams of spatial figuresMar 12 2014We show that it is possible to decide whether a given planar diagram correctly depicts the spatial figure consisting of a planar quadrangle together with its shadow in another plane.

Non-equilibrium beta processes in superfluid neutron star coresApr 26 2005Dec 05 2005The influence of nucleons superfluidity on the beta relaxation time of degenerate neutron star cores, composed of neutrons, protons and electrons, is investigated. We numerically calculate the implied reduction factors for both direct and modified Urca ... More

Sphere-plate Casimir interaction in (D+1)-dimensional spacetimeDec 06 2013In this paper, we derive the formula for the Casimir interaction energy between a sphere and a plate in $(D+1)$-dimensional Minkowski spacetime. It is assumed that the scalar field satisfies the Dirichlet or Neumann boundary conditions on the sphere and ... More

Finite temperature Casimir effect on spherical shells in (D+1)-dimensional spacetime and its high temperature limitMay 10 2013We consider the finite temperature Casimir free energy acting on a spherical shell in (D+1)-dimensional Minkowski spacetime due to the vacuum fluctuations of scalar and electromagnetic fields. Dirichlet, Neumann, perfectly conducting and infinitely permeable ... More

Mode summation approach to Casimir effect between two objectsMay 11 2012Jul 17 2012In this paper, we explore the TGTG formula from the perspective of mode summation approach. Both scalar fields and electromagnetic fields are considered. In this approach, one has to first solve the equation of motion to find a wave basis for each object. ... More