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No deconfinement in QCD ?Dec 21 2015Jun 23 2016At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The Banks-Casher relation connects the quark condensate to a density of the near-zero modes of ... More

SU(2N_F) hidden symmetry of QCDNov 18 2015May 25 2016Recently a global SU(4) \supset SU(2)_L \times SU(2)_R \times U(1)_A symmetry of the confining Coulombic part of the QCD Hamiltonian has been discovered with N_F=2. This global symmetry includes both independent rotations of the left- and right-handed ... More

Chiral symmetry restoration in excited hadronsSep 30 2003The evidence, theoretical justification and implications of chiral symmetry restoration in excited hadrons are presented.

Chiral symmetry breaking and the generation of light hadron massesJan 23 2014A quantitative study of the effects of dynamical chiral symmetry breaking on the mass generation of the low-lying hadrons in a dynamical lattice QCD simulation is presented. The evolution of light hadron masses upon increasing the number of low-lying ... More

The Nucleon-Nucleon Interaction in a Chiral Constituent Quark ModelMay 16 1997We study the short-range nucleon-nucleon interaction in a chiral constituent quark model by diagonalizing a Hamiltonian comprising a linear confinement and a Goldstone boson exchange interaction between quarks. The six-quark harmonic oscillator basis ... More

Symmetries of mesons after unbreaking of chiral symmetry and their string interpretationFeb 08 2014Apr 26 2014Using the chirally invariant overlap Dirac operator we remove its lowest-lying quasizero modes from the valence quark propagators and study evolution of isovector mesons with J=1. At the truncation level about 50 MeV SU(2)_L \times SU(2)_R and U(1)_A ... More

Isoscalar mesons upon unbreaking of chiral symmetryOct 31 2014Jan 20 2015In a dynamical lattice simulation with the overlap Dirac operator and $N_f=2$ mass degenerate quarks we study all possible $J=0$ and $J=1$ correlators upon exclusion of the low lying "quasi-zero" modes from the valence quark propagators. After subtraction ... More

Effective chiral restoration in the rho'-meson in lattice QCDJul 08 2010Oct 19 2010In simulations with dynamical quarks it has been established that the ground state rho in the infrared is a strong mixture of the two chiral representations (0,1)+(1,0) and (1/2,1/2)_b. Its angular momentum content is approximately the 3S1 partial wave ... More

Symmetries of hadrons after unbreaking the chiral symmetryMay 22 2012Jul 19 2012We study hadron correlators upon artificial restoration of the spontaneously broken chiral symmetry. In a dynamical lattice simulation we remove the lowest lying eigenmodes of the Dirac operator from the valence quark propagators and study evolution of ... More

Effects of Low vs. High Fermionic Modes on Hadron Mass GenerationOct 31 2013A nonvanishing spectral density of the low-lying eigenmodes of the Dirac operator naturally is a signal for dynamical chiral symmetry breaking (D$\chi$SB) via the Banks-Casher relation. The low-lying eigenmodes alone saturate the pseudoscalar channel ... More

Chiral symmetry breaking and the spin content of the rho and rho' mesonsJun 06 2011Using interpolators with different SU(2)_L \times SU(2)_R transformation properties we study the chiral symmetry and spin contents of the rho- and rho'-mesons in lattice simulations with dynamical quarks. A ratio of couplings of the $\qbar\gamma^i{\tau}q$ ... More

More effects of Dirac low-mode removalSep 01 2013In previous studies we have shown that hadrons, except for a pion, survive the removal of the lowest lying Dirac eigenmodes from the valence quark propagators. The low-modes are tied to the dynamical breaking of chiral symmetry and we found chiral symmetry ... More

Chiral symmetry restoration in excited hadrons, quantum fluctuations, and quasiclassicsOct 02 2005Nov 03 2005In this paper, we discuss the transition to the semiclassical regime in excited hadrons, and consequently, the restoration of chiral symmetry for these states. We use a generalised Nambu-Jona-Lasinio model with the interaction between quarks in the form ... More

Effective Q-Q Interactions in Constituent Quark ModelsMay 05 1997We study the performance of some recent potential models suggested as effective interactions between constituent quarks. In particular, we address constituent quark models for baryons with hybrid Q-Q interactions stemming from one-gluon plus meson exchanges. ... More

Update of the Hagedorn mass spectrumJul 25 2004We present an update of the Hagedorn hypothesis of the exponential growth of the number of hadronic resonances with mass. We use the newest available experimental data for the non-strange mesons and baryons, as well as fill in some missing states according ... More

Symmetries of spatial meson correlators in high temperature QCDFeb 08 2019Based on a complete set of $J = 0$ and $J=1$ spatial isovector correlation functions calculated with $N_F = 2$ domain wall fermions we identify an intermediate temperature regime of $T \sim 250 - 550$ MeV where chiral symmetry is restored but the correlators ... More

Approximate degeneracy of $J=1$ spatial correlators in high temperature QCDJul 06 2017Feb 08 2019We study spatial isovector meson correlators in $N_f=2$ QCD with dynamical domain-wall fermions on $32^3\times 8$ lattices at temperatures $T=220-380$ MeV. We measure the correlators of spin-one ($J=1$) operators including vector, axial-vector, tensor ... More

Chiral-spin symmetry emergence in baryons and eigenmodes of the Dirac operatorApr 03 2019Truncating the low-lying modes of the lattice Dirac operator results in an emergence of the chiral-spin symmetry $SU(2)_{CS}$ and its flavor extension $SU(2N_F)$ in hadrons. These are symmetries of the quark - chromo-electric interaction and include chiral ... More

The chiral and angular momentum content of the rho-mesonSep 16 2009It is possible to define and calculate in a gauge-invariant manner the chiral as well as the partial wave content of the quark-antiquark Fock component of a meson in the infrared, where mass is generated. Using the variational method and a set of interpolators ... More

A hidden classical symmetry of QCDAug 25 2016The classical part of the QCD partition function (the integrand) has, ignoring irrelevant exact zero modes of the Dirac operator, a local SU(2N_F) \supset SU(N_F)_L \times SU(N_F)_R \times U(1)_A symmetry which is absent at the Lagrangian level. This ... More

SU(2N_F) symmetry of QCD at high temperature and its implicationsOct 02 2016If above a critical temperature not only the SU(N_F)_L \times SU(N_F)_R chiral symmetry of QCD but also the U(1)_A symmetry is restored, then the actual symmetry of the QCD correlation functions and observables is SU(2N_F). Such a symmetry prohibits existence ... More

Excited nucleons with chirally improved fermionsJul 05 2003Apr 20 2004We study positive and negative parity nucleons on the lattice using the chirally improved lattice Dirac operator. Our analysis is based on a set of three operators chi_i with the nucleon quantum numbers but in different representations of the chiral group ... More

Meson spectroscopy with derivative quark sourcesSep 27 2007We present results for masses of light mesons obtained with the variational method using an enhanced basis of interpolating field operators with different quark smearings. The interpolators are constructed from Jacobi-smeared quarks of a Gaussian type ... More

Excited hadrons on the lattice: MesonsJan 20 2006May 10 2006We present results for masses of excited mesons from quenched calculations using chirally improved quarks at pion masses down to 350 MeV. The key features of our analysis are the use of a matrix of correlators from various source and sink operators and ... More

Spatially improved operators for excited hadrons on the latticeMay 10 2004We present a new approach for determining spatially optimized operators that can be used for lattice spectroscopy of excited hadrons. Jacobi smeared quark sources with different widths are combined to construct hadron operators with different spatial ... More

Baryon axial charges from Chirally Improved fermions - first resultsOct 21 2009We present first results from dynamical Chirally Improved (CI) fermion simulations for the axial charge $G_A$ of various hadrons. We work with 16^3x32 lattices of spatial extent 2.4 fm and use the variational method with a suitable basis of Jacobi-smeared ... More

Excited hadrons from improved interpolating fieldsSep 03 2004The calculation of quark propagators for Ginsparg-Wilson-type Dirac operators is costly and thus limited to a few different sources. We present a new approach for determining spatially optimized operators for lattice spectroscopy of excited hadrons. Jacobi ... More

Exploring a new SU(4) symmetry of meson interpolatorsApr 09 2015Jun 16 2015In recent lattice calculations it has been discovered that mesons upon truncation of the quasi-zero modes of the Dirac operator obey a symmetry larger than the $SU(2)_L \times SU(2)_R\times U(1)_A$ symmetry of the QCD Lagrangian. This symmetry has been ... More

The short-range baryon-baryon interaction in a chiral constituent quark modelJun 21 1999The previous analysis of the short-range $NN$ repulsion originating from the Goldstone boson exchange hyperfine interaction between constituent quarks is revisited. We study in which respects the repulsion depends on the radial form of the spin-spin quark-quark ... More

On the origin of the short range NN repulsionJun 03 1999Feb 14 2000We calculate S-wave singlet and triplet NN phase shifts stemming from the short-range flavor-spin hyperfine interaction between constituent quarks using the resonating group method approach. A strong short-range repulsion is found in both waves. A fair ... More

Effect of Transverse Gluons on Chiral Restoration in Excited MesonsJul 16 2013The effect of transverse gluons on the chiral symmetry patterns of excited mesons is studied in a Coulomb gauge QCD model. The linear rising static quark-antiquark potential and the transverse gluon propagator known from lattice studies are input into ... More

Some indication for a missing chiral partner eta_4 around 2 GeVApr 27 2010Jul 28 2010The high-lying mesons in the light quark sector previously obtained from the partial wave analysis of the proton-antiproton annihilation in flight at 1.9 - 2.4 GeV region at CERN reveal a very high degree of degeneracy. This degeneracy can be explained ... More

Emergence of a new $SU(4)$ symmetry in the baryon spectrumAug 06 2015Nov 03 2015Recently a large degeneracy of $J=1$ mesons, that is larger than the $SU(2)_L \times SU(2)_R \times U(1)_A$ symmetry of the QCD Lagrangian, has been discovered upon truncation of the near-zero modes from the valence quark propagators. It has been found ... More

How the "H-particle" unravels the quark dynamicsJul 16 1997Oct 03 1997It is shown that the short-range part of the Goldstone boson exchange interaction between the constituent quarks which explains baryon spectroscopy and the short-range repulsion in the NN system induces a strong short-range repulsion in the flavour-singlet ... More

Light Baryons in a Constituent Quark Model with Chiral DynamicsJan 29 1996It is shown from rigorous three-body Faddeev calculations that the masses of all 14 lowest states in the $N$ and $\Delta$ spectra can be described within a constituent quark model with a Goldstone-boson-exchange interaction plus linear confinement between ... More

Does one observe chiral symmetry restoration in baryon spectrum?Jan 25 2002It has recently been suggested that the parity doublet structure seen in the spectrum of highly excited baryons may be due to effective chiral symmetry restoration for these states. We review the recent developments in this field. We demonstrate with ... More

Angular momentum content of the $ρ(1450)$ from chiral lattice fermionsMar 15 2016We identify the chiral and angular momentum content of the leading quark-antiquark Fock component for the $\rho(770)$ and $\rho(1450)$ mesons using a two-flavor lattice simulation with dynamical Overlap Dirac fermions. We extract this information from ... More

Chiral multiplets versus parity doublets in highly excited baryonsFeb 16 2001Aug 30 2001It has recently been suggested that the parity doublet structure seen in the spectrum of highly excited baryons may be due to effective chiral restoration for these states. We argue how the idea of chiral symmetry restoration high in the spectrum is consistent ... More

Evidence for a new $SU(4)$ symmetry with $J=2$ mesonsMay 13 2015Recently, a new symmetry of mesons has been found upon truncation of the quasi-zero modes of the Overlap Dirac operator in lattice simulations. Namely, the $\rho,\rho',\omega,\omega',a_1, b_1,h_1$ and possibly $f_1$ $J=1$ mesons get degenerate after removal ... More

Excited meson spectroscopy with chirally improved fermionsSep 22 2005We present excited meson masses from quenched calculations using chirally improved (CI) quarks at pion masses down to 350 MeV. The salient features of our analysis are the use of a matrix of correlators from various source and sink operators and a basis ... More

The Strangeness Magnetic Moment of the Proton in the Chiral Quark ModelAug 18 1999Aug 24 1999The strangeness magnetic moment of the proton is shown to be small in the chiral quark model. The dominant loop contribution is due to kaons. The K^* loop contributions are proportional to the difference between the strange and light constituent quark ... More

Mesons upon low-lying Dirac mode exclusionNov 06 2014We study the isoscalar and isovector $J=0,1$ mesons with the overlap operator within two flavour lattice QCD. After subtraction of the lowest-lying Dirac eigenmodes from the valence quark propagator all disconnected contributions vanish and all possible ... More

Effects of the low lying Dirac modes on excited hadrons in lattice QCDJul 31 2012Chiral symmetry breaking in Quantum Chromodynamics is associated with the low lying spectral modes of the Dirac operator according to the Banks-Casher relation. Here we study how removal of a variable number of low lying modes from the valence quark sector ... More

The chiral and angular momentum content of the $ρ$-mesons in lattice QCDOct 27 2010The variational method allows one to study the mixing of interpolators with different chiral transformation properties in the nonperturbatively determined physical state. It is then possible to define and calculate in a gauge-invariant manner the chiral ... More

Chiral symmetry breaking and the spin content of hadronsNov 10 2011From the parton distributions in the infinite momentum frame one finds that only about 30% of the nucleon spin is carried by spins of the valence quarks, which gave rise to the term "spin crisis". Similar results hold for the lowest mesons, as it follows ... More

Constituent Quark Model Calculation for a possible J^P=0^-,T=0 DibaryonFeb 10 1995There exists experimental evidence that a dibaryon resonance d' with quantum numbers J^P=0^-,T=0 and mass 2065 MeV could be the origin of the narrow peak in the (\pi^+ ,\pi^- ) double charge exchange cross--sections on nuclei. We investigate the six--quark ... More

Azimuthal Asymmetries in DIS as a Probe of Intrinsic Charm Content of the ProtonJan 10 2007We calculate the azimuthal dependence of the heavy-quark-initiated ${\cal O}(\alpha_{s})$ contributions to the lepton-nucleon deep inelastic scattering (DIS). It is shown that, contrary to the photon-gluon fusion (GF) component, the photon-quark scattering ... More

The low-energy positron scattering upon endohedralsMay 14 2017We investigate positron scattering upon endohedrals and compare it with electron-endohedral scattering. We show that the polarization of the fullerene shell considerably alters the polarization potential of an atom, stuffed inside a fullerene. This essentially ... More

Describtion of tne normal basis of boundary algebrasDec 24 2014We investigate normal basis of algebras with small growth. The paper was supported by the Grant RFBR N 14-01-00548.

Axial charges of excited nucleons from CI-fermionsFeb 13 2012We report lattice QCD results on the axial charges of ground and excited nucleon states of both parities. This is the first study of these quantities with approximately chiral (CI) fermions. Two energy levels in the range of the negative parity resonances ... More

The role of fullerene shell upon stuffed atom polarization potentialDec 01 2015We have demonstrated that the polarization of the fullerene shell considerably alters the polarization potential of an atom, stuffed inside a fullerene. This essentially affects the electron elastic scattering phases as well as corresponding cross-sections. ... More

General-type discrete self-adjoint Dirac systems: explicit solutions of direct and inverse problems, asymptotics of Verblunsky-type coefficients and stability of solving inverse problemFeb 28 2018We consider discrete self-adjoint Dirac systems determined by the potentials (sequences) $\{C_k\}$ such that the matrices $C_k$ are positive definite and $j$-unitary, where $j$ is a diagonal $m\times m$ matrix and has $m_1$ entries $1$ and $m_2$ entries ... More

Comment on the paper Photoionization of endohedral atoms using R-matrix methods: application to Xe@C60 by T. W. Gorczyca, M. F. Hasoglu and S. T. Manson, Phys. Rev. A86, 033204 (2012) [1]Dec 14 2013We demonstrate serious misrepresentation of existing experimental data and important omissions in the List of references in the paper [1]. We demonstrate that what is called in [1] total photoionization cross-section is in fact a partial photoionization ... More

The Long Range Interaction and the Relaxation in Glasses at Low TemperaturesJul 15 2004We describe the interaction stimulated relaxation in the ensemble of two-level systems, responsible for low temperature kinetics and thermodynamics properties of amorphous solids. This relaxation gets significant at sufficiently low temperature when phonons ... More

Describtion of normal basis of boundary algebras and factor languages of small growthFeb 10 2016Feb 11 2016Let $A$ be an algebra with fixed set of generators $a_1,\dots,a_s$. $V_A(n)$ be dimension of the space, generated by worlds of length $\le n$ over $a_i$, $T_A(n)=V_A(n)-V_A(n-1)$. If $T_A(n)<\mbox{Const}$, algebra $A$ is a {\it boundary algebra}. We describe ... More

Abnormal subgroups and Carter subgroups in some infinite groupsMay 17 2004Some properties of abnormal subgroups in generalized soluble groups will be considered. In particular, the transitivity of abnormality in metahypercentral groups is proven. Also it will be proven that a subgroup H of a radical group G is abnormal in G ... More

Estimation of the integral role of Intershell correlations in heavy atomsAug 07 2018Sep 04 2018We demonstrate that in the frame of the random phase approximation with the exchange, which preserves the validity of the precise well known dipole sum rule, the partial contributions for given subshells strongly deviates from the number of electrons ... More

Remark to the paper Describing the set of words generated by interval exchange transformation, posted 15 November 2007Nov 26 2007Let us call subdivision {\it good}, if 1) set corresponding to each symbol is convex (i.e. interval or (semi)closed interval). 2) If points $A$ and $B$ corresponds to the some color and interval $(A,B)$ has discontinuity point, then $f(A)$ and $f(B)$ ... More

Describing the set of words generated by interval exchange transformationNov 15 2007Jan 31 2008Let $W$ be an infinite word over finite alphabet $A$. We get combinatorial criteria of existence of interval exchange transformations that generate the word W.

How Chiral Symmetry Breaking Affects the Spectrum of the Light-Heavy Mesons in the 't Hooft ModelJan 27 2012Jun 01 2012We find the spectrum and wave functions of the heavy-light mesons in $(1 + 1)$-dimensional QCD in the 't Hooft limit, both in the rest frame, using the Coulomb (axial) gauge, and on the light cone. Our emphasis is on the effects of chiral symmetry breaking ... More

The d'-Dibaryon in the Nonrelativistic Quark ModelAug 04 1995Aug 11 1995The narrow peak recently found in various pionic double charge exchange (DCX) cross sections can be explained by the assumption of a universal resonance at 2065 MeV, called d'. We calculate the mass of a six-quark system with J^P=0^-, T=0 quantum numbers ... More

Meson correlation functions at high temperature QCD: $SU(2)_{CS}$ symmetry vs. free quarksSep 01 2018Oct 05 2018We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has previously been found ... More

Ray-based description of normal mode amplitudes in a range-dependent waveguideDec 28 2004An analogue of the geometrical optics for description of the modal structure of a wave field in a range-dependent waveguide is considered. In the scope of this approach the mode amplitude is expressed through solutions of the ray equations. This analytical ... More

Dynamics of optically injected currents in carbon nanotubesNov 01 2014We consider theoretically the dynamics of electric currents optically injected in carbon nanotubes. Although the plasma oscillations are not seen in these systems, the main effect on the carrier's motion is due to strongly nonuniform space-charge Coulomb ... More

Comment on ``Parity Doubling and $SU(2)_L \times SU(2)_R$ Restoration in the Hadronic Spectrum''Mar 29 2006This comment critically discusses certain aspects of a recent paper on parity doubling in the hadronic spectrum and its possible connection to chiral symmetry restoration.

A simple toy model for effective restoration of chiral symmetry in excited hadronsDec 14 2005Sep 18 2006A simple solvable toy model exhibiting effective restoration of chiral symmetry in excited hadrons is constructed. A salient feature is that while physics of the low-lying states is crucially determined by the spontaneous breaking of chiral symmetry, ... More

Chaotic dynamics in a quantum Fermi-Pasta-Ulam problemDec 20 2018We investigate the emergence of chaotic dynamics in a quantum Fermi - Pasta - Ulam problem for anharmonic vibrations in atomic chains applying semi-quantitative analysis of resonant interactions complemented by exact diagonalization numerical studies. ... More

Can the dynamical Lamb effect be observed in a superconducting circuit?Mar 16 2019Mar 25 2019The dynamical Lamb effect is predicted to arise in superconducting circuits when the coupling of a superconducting qubit with a resonator is periodically switched "on" and "off" nonadiabatically. We show that by using a superconducting circuit which allows ... More

Continuous and discrete dynamical Schrödinger systems: explicit solutionsJan 27 2017Jul 17 2017We consider continuous and discrete Schr\"odinger systems with self-adjoint matrix potentials and with additional dependence on time (i.e., dynamical Schr\"odinger systems). Transformed and explicit solutions are constructed using our generalized (GBDT) ... More

High-temperature tunable superfluidity of polaritons in Xene monolayers in an optical microcavityMar 23 2019We study tunable polaritons in monolayers of silicene, germanene, and stanene (Xenes) via an external electric field in an open optical microcavity whose length can be adjusted. An external electric field applied perpendicular to the plane of the Xene ... More

Low-Lying Nucleons from Chirally Improved FermionsSep 10 2003We report on our preliminary results on the low-lying excited nucleon spectra which we obtain through a variational basis formed with three different interpolators.

Electron elastic scattering off polarizable $A$@C$_{60}$: The complete study within a particular theorySep 24 2016A deeper insight into electron elastic scattering off endohedral fullerenes $A$@C$_{60}$ is provided. The study accounts for polarization of both the encapsulated atom $A$ and C$_{60}$ cage by an incident electron. It is carried out in the framework of ... More

Skew-self-adjoint Dirac systems with a rectangular matrix potential: Weyl theory, direct and inverse problemsDec 04 2011A non-classical Weyl theory is developed for skew-self-adjoint Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and direct and inverse problems are solved. A Borg-Marchenko type uniqueness result and the ... More

Operator identities corresponding to inverse problemsJun 04 2011The structured operators and corresponding operator identities, which appear in inverse problems for the self-adjoint and skew-self-adjoint Dirac systems with rectangular potentials, are studied in detail. In particular, it is shown that operators with ... More

Weyl theory and explicit solutions of direct and inverse problems for a Dirac system with rectangular matrix potentialMay 10 2011A non-classical Weyl theory is developed for Dirac systems with rectangular matrix potentials. The notion of the Weyl function is introduced and the corresponding direct problem is treated. Furthermore, explicit solutions of the direct and inverse problems ... More

Can freestanding Xene monolayers behave as excitonic insulators?Sep 11 2018Nov 16 2018We predict a phase transition in freestanding monolayer Xenes from the semiconducting phase to the excitonic insulating (EI) phase can be induced by reducing an external electric field below some critical value which is unique to each material. The splitting ... More

Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problemOct 03 2015Jan 31 2016Procedures to recover explicitly discrete and continuous skew-selfadjoint Dirac systems on semi-axis from rational Weyl matrix functions are considered. Their stability is shown. Some new facts on asymptotics of pseudo-exponential potentials (i.e., of ... More

Axion in an External Electromagnetic FieldMar 19 1999Jul 09 1999We investigate the effective interaction of a pseudoscalar particle with two photons in an external electromagnetic field in the general case of all external particles being off the mass shell. This interaction is used to study the radiative decay $a ... More

Mass Shift of Axion in Magnetic FieldJan 20 2000A mass-shift of the axion propagating in an external constant homogenious magnetic field is calculated. The contributions via an electron loop and a virtual photon are examined. It is shown that the virtual photon contribution dominates substantially ... More

Role of electronic shell in the double beta decayFeb 11 2016Feb 18 2016We demonstrate that the limiting energy available for ejected electrons in double beta decay is diminished by about 400 eV due to inelastic processes in the electronic shell.

Influence of the inner shell electrons on photoionization of outer shellsJun 16 2015We have studied the role of virtual excitations of inner shells upon outer shell photoionization. The calculations were performed in the frames of the Random Phase Approximation and its generalized version GRPAE that take into account variation of the ... More

Photon splitting cascades and a new statisticsAug 08 1997Photon splitting cascades in a magnetic field are considered. It is shown, in the stochastic limit approximation, that photons in cascades might form entangled states (``triphons'') and that they obey not Bose but a new type of statistics, the so called ... More

The Master Field for Rainbow Diagrams and Free Non-Commutative Random VariablesFeb 15 1995Feb 17 1995The master field for a subclass of planar diagrams, so called rainbow diagrams, for higher dimensional large N theories is considered. An explicit representation for the master field in terms of noncommutative random variables in the modified interaction ... More

Electron elastic scattering off $A$@C$_{60}$: The role of atomic polarization under confinementOct 31 2015The present paper explores possible features of electron elastic scattering off endohedral fullerenes $A$@C$_{60}$. It focuses on how dynamical polarization of the encapsulated atom $A$ by an incident electron might alter scattering off $A$@C$_{60}$ compared ... More

Surface impedance of superconductors with weak magnetic impuritiesOct 06 2011Dec 29 2011Magnetic impurities affect the spectrum of excitations of a superconductor and thus influence its impedance. We concentrate on the dissipative part of the surface impedance. We investigate its dependence on frequency, the density and strength of magnetic ... More

Effect of nuclear quadrupole interactions on the dynamics of two-level systems in glassesNov 07 2005Dec 15 2005The standard tunneling model describes quite satisfactorily the thermal properties of amorphous solids at temperatures $T<1K$ in terms of an ensemble of two-level systems possessing logarithmically uniform distribution over their tunneling amplitudes ... More

Recovery of Dirac system from the rectangular Weyl matrix functionJun 07 2011Weyl theory for Dirac systems with rectangular matrix potentials is non-classical. The corresponding Weyl functions are rectangular matrix functions. Furthermore, they are non-expansive in the upper semi-plane. Inverse problems are treated for such Weyl ... More

Problem of the Complete Measurement for CP-violating Parameters in Neutral B-meson DecaysAug 30 1996Feb 20 1997Phenomenological CP-violating parameters in decays of neutral B-mesons are discussed. Special attention is given to the degree of their measurability. We emphasize important role of the sign of $\Delta m_B$ and suggest how it could be determined experimentally. ... More

Field-induced axion decay $a \to e^+ e^-$ via plasmonDec 17 1998The axion decay $a \to e^+ e^-$ via a plasmon is investigated in an external magnetic field. The results we have obtained demonstrate a strong catalyzing influence of the field as the axion lifetime in the magnetic field of order $10^{15}$ G and at temperature ... More

Polariton-based optical switchAug 01 2014Based on the studies of propagation of an exciton-polariton condensate in a patterned optical microcavity with an embedded graphene layer, we propose a design of a Y-shaped electrically-controlled optical switch. The polaritons are driven by a time-independent ... More

Angular momentum content of the rho-meson in lattice QCDMay 06 2009Sep 14 2009The variational method allows one to study the mixing of interpolators with different chiral transformation properties in the non-perturbatively determined physical state. It is then possible to define and calculate in a gauge-invariant manner the chiral ... More

Testing the $SU(4)$ degeneracy after low-mode removal with $J=2$ mesonsOct 30 2015Recent lattice results on Dirac low-mode removed $J=1,2$ mesons and $J=\frac{1}{2}$ baryons reveal the appearance of a new $SU(4)$ symmetry of confinement. Here the degeneracy of all $J=2$ iso-vector states within an irreducible representation of $SU(4)$ ... More

Visualization of ferromagnetic domains in TbNi$_2$B$_2$C and ErNi$_2$B$_2$C single crystals: Weak ferromagnetism and its coexistence with superconductivityJun 22 2007The magnetic flux structure in the basal plane, (001), of single crystals of superconducting (R = Er) and non-superconducting (R = Tb) RNi$_2$B$_2$C was studied by high resolution Bitter decoration at temperatures below $T_c$ (superconducting transition) ... More

Universal algorithms, mathematics of semirings and parallel computationsMay 07 2010This is a survey paper on applications of mathematics of semirings to numerical analysis and computing. Concepts of universal algorithm and generic program are discussed. Relations between these concepts and mathematics of semirings are examined. A very ... More

Transcendental Morse Inequality and Generalized Okounkov BodiesFeb 28 2015The main goal of this article is to construct "arithmetic Okounkov bodies" for an arbitrary pseudo-effective (1,1)-class $\alpha$ on a K\"ahler manifold. Firstly, using Boucksom's divisorial Zariski decompositions for pseudo-effective (1,1)-classes on ... More

Effectivity in the Hyperbolicity-related problemsJun 13 2016The aim of this work is to deal with effective questions related to the Kobayashi and Debarre conjectures, and based on the work of Damian Brotbek and Lionel Darondeau. We first show that if a line bundle $L$ generates $k$-jets, the $k$-th Wronskian ideal ... More

Lyα Equivalent Width Distribution of Lyα Emitting Galaxies at Redshift z $\sim$ 4.5Oct 17 2013Feb 06 2014Ly{\alpha} line EWs provide important clues to the physical nature of high redshift LAEs. However, measuring the Ly{\alpha} EW distribution of high-z narrowband selected LAEs can be hard because many sources do not have broadband photometry. We investigate ... More

On Evaluation of Riesz Constants for Systems of Shifted GaussiansAug 12 2013Aug 18 2014In this paper we study single-parametric systems of integer shifts of Gauss and Lorenz functions. In case of Cauchy--Lorenz system we explicitly calculate nod functions and prove that it tends to sinc function in limit. For both Gauss and Cauchy--Lorenz ... More

Generation of concentration density maxima of small dispersive coal dust particles in horizontal iodine air filter at air-dust aerosol blowJun 11 2013The spatial distributions of the small dispersive coal dust particles with the nano and micro sizes in the granular filtering medium with the cylindrical coal granules in the absorber in the horizontal iodine air filter during its long term operation ... More

How Robust is the Froissart Bound?Apr 28 2011Oct 10 2011Proof of the Froissart theorem is reconsidered in a different way to extract its necessary conditions. Two physical inputs, unitarity and absence of massless intermediate hadrons, are indisputable. Also important are mathematical properties of the Legendre ... More