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Refined Complexity of PCA with OutliersMay 10 2019Principal component analysis (PCA) is one of the most fundamental procedures in exploratory data analysis and is the basic step in applications ranging from quantitative finance and bioinformatics to image analysis and neuroscience. However, it is well-documented ... More

The wave model of the Sturm-Liouville operator on an intervalJun 19 2019In the paper we construct the wave functional model of a symmetric restriction of the regular Sturm-Liouville operator on an interval. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme which was ... More

Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic caseMar 16 2010We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic ("double root") situation. For the model with "non-smooth" matrix entries we obtain the asymptotics of generalized eigenvectors and analyze the spectrum. ... More

Low-rank binary matrix approximation in column-sum normApr 12 2019We consider $\ell_1$-Rank-$r$ Approximation over GF(2), where for a binary $m\times n$ matrix ${\bf A}$ and a positive integer $r$, one seeks a binary matrix ${\bf B}$ of rank at most $r$, minimizing the column-sum norm $||{\bf A} -{\bf B}||_1$. We show ... More

Parameterized k-Clustering: The distance matters!Feb 22 2019We consider the $k$-Clustering problem, which is for a given multiset of $n$ vectors $X\subset \mathbb{Z}^d$ and a nonnegative number $D$, to decide whether $X$ can be partitioned into $k$ clusters $C_1, \dots, C_k$ such that the cost \[\sum_{i=1}^k \min_{c_i\in ... More

Exact relativistic Green's functions for the time-independent potentialsFeb 14 2019Relativistic formalism of Green's functions is dicussed in QCD and QED,where the relativistic Green's functions are constructed using the Schwinger proper time formalism and the Fock-Feynman-Schwinger method.As a result a simple and exact method is found ... More

Spectral multiplicity of selfadjoint Schroedinger operators on star-graphs with standard interface conditionsOct 22 2012We analyze the singular spectrum of selfadjoint operators which arise from pasting a finite number of boundary relations with a standard interface condition. A model example for this situation is a Schroedinger operator on a star-shaped graph with continuity ... More

Persistence Length of DNA Macromolecule with KinksOct 20 2014The study of configurational parameters of deformed DNA is a relevant problem in research of such important biological process as double helix compactization in cell. The deformations accompanied with local disruptions of the regular macromolecule structure ... More

A Compositional Neuro-Controller for Advanced Motor Control TasksMay 19 2016Humans and animals developed a sophisticated motor control apparatus and there is much evidence that it has a modular structure. The modularity offers a range of benefits, e.g. ability to learn dissociable motion styles without interference and forgetting, ... More

Spontaneous topological transitions of electromagnetic fields in spatially inhomogeneous CP-odd domainsJul 25 2016Metastable CP-odd domains of the hot QCD matter are coupled to QED via the chiral anomaly. The topology of electromagnetic field in these domains is characterized by magnetic helicity. It is argued, using the Maxwell-Chern-Simons model, that spatial inhomogeneity ... More

Initial value problem for magnetic field in heavy ion collisionsAug 27 2015When quark-gluon plasma emerges in the wake of a heavy-ion collision, magnetic field created by the valence charges has already permitted the entire interaction region. Evolution of this "initial" field in plasma is governed by Maxwell equations in electrically ... More

Coulomb corrections to DIS off heavy nucleiJul 07 2015An essential part of experimental program at the future Electron Ion Collider is the study of the nuclear structure and dynamics at low $x$. DIS at low $x$ is characterized by large longitudinal coherence length that by far exceeds radii of heavy nuclei. ... More

Time and space dependence of electromagnetic field in relativistic heavy-ion collisionsMay 24 2013Exact analytical solution for the space-time evolution of electromagnetic field in electrically conducting nuclear matter produced in heavy-ion collisions is discussed. It is argued that the parameter that controls the strength of the matter effect on ... More

Magnetic contribution to dilepton production in heavy-ion collisionsMay 02 2013We calculate a novel "magnetic contribution" to the dilepton spectrum in heavy-ion collisions arising from interaction of relativistic quarks with intense magnetic field. Synchrotron radiation by quarks, which can be approximated by the equivalent photon ... More

On viscous flow and azimuthal anisotropy of quark-gluon plasma in strong magnetic fieldAug 22 2011We calculate the viscous pressure tensor of the quark-gluon plasma in strong magnetic field. It is azimuthally anisotropic and is characterized by five shear viscosity coefficients, four of which vanish when the field strength eB is much larger than the ... More

Nonlinear pair production in scattering of photons on ultra-short laser pulses at high energyNov 25 2009Feb 15 2010We consider scattering of a photon on a short intense laser pulse at high energy. We argue that for ultra-short laser pulses the interaction is coherent over the entire length of the pulse. At low pulse intensity $I$ the total cross section for electron-positron ... More

Gluon saturation effects on J/Psi production in heavy ion collisionsJul 09 2009Sep 14 2009We discuss a novel mechanism for J/Psi$ production in nuclear collisions arising due to the high density of gluons. We demonstrate that gluon saturation in the colliding nuclei is a dominant source of J/Psi suppression and can explain its experimentally ... More

High energy pA collisions in the Color Glass Condensate approachSep 25 2006Nov 07 2006We present a brief review of phenomenological applications of the gluon saturation approach to the proton-nucleus collisions at high energies.

Particle Correlations at High Partonic DensityJul 07 2003We discuss manifestations of the particle correlations at high partonic density in the heavy-ion collisions at RHIC. In particular, we argue that the elliptic flow variable v2 is dominated by particle correlations at high pT.

Synchrotron radiation of vector bosons at relativistic collidersJul 09 2014Magnetic fields produced in collisions of electrically charged particles at relativistic energies are strong enough to affect the dynamics of the strong interactions. In particular, it induces radiation of vector bosons by relativistic fermions. To develop ... More

On the role of magnetic field in photon excess in heavy ion collisionsJun 19 2014Synchrotron photon spectrum in heavy-ion collisions is computed taking into account the spatial and temporal structure of magnetic field. It is found that a significant fraction of photon excess in heavy-ion collisions in the region $k_\bot=1-3$GeV can ... More

Comments on the Morita EquivalenceMay 16 2000May 30 2000It is known that noncommutative Yang-Mills theory with periodical boundary conditions on torus at the rational value of the noncommutativity parameter is Morita equivalent to the ordinary Yang-Mills theory with twisted boundary conditions on dual torus. ... More

Explicit formula for the spherical image of the symplectic Hecke series of genus fourJun 20 2006Sep 29 2006We obtain an explicit formula for the spherical image of the polynomial fraction conjectured by Shimura in 1963 for generating Hecke series in particular case of genus 4. As in our previous work we used the Satake spherical map for ${\rm Sp}_4$ and formulas ... More

Rare top quark production and decays at ATLAS and CMSMay 20 2019The most recent studies in the top quark sector are reviewed with the focus on the rare production mechanisms and suppressed decays. The experimental results obtained with the ATLAS and CMS detectors in proton-proton collisions at the center-of-mass energy ... More

Twisted gamma-filtration of a linear algebraic groupJan 31 2011Feb 19 2011In the present notes we introduce and study the twisted gamma-filtration on K_0(G), where G is a split simple linear algebraic group over a field of characteristic prime to the order of the center of G. We apply this filtration to construct torsion elements ... More

Unveiling the nuclear structure at small x using azimuthal correlations in dA collisionsDec 19 2010We discuss azimuthal correlations in double inclusive hadron production in high energy $dA$ collisions at RHIC. We argue that the leading logarithmic approximation is inadequate for description of experimental data. Realistic shape of the azimuthal correlation ... More

Beyond the proton collinear factorization in heavy quark production in pA collisions at low xSep 04 2012Sep 20 2012We consider heavy quark production in high energy pA collisions and investigate the contribution of interactions of valence quarks of proton with the nucleus. The often made assumption that valence quarks of proton can be factored out is justified only ... More

Synchrotron radiation by fast fermions in heavy-ion collisionsJun 15 2010Feb 17 2011We study the synchrotron radiation of gluons by fast quarks in strong magnetic field produced by colliding relativistic heavy-ions. We argue that due to high electric conductivity of plasma, time variation of the magnetic field is slow and estimate its ... More

Forward hadron production in high energy pA collisions: from RHIC to LHCMay 15 2007Nov 14 2007We present a calculation of Pi, D and B mesons production at RHIC and LHC energies based upon the KKT model of gluon saturation. We discuss dependence of the nuclear modification factor on rapidity and transverse momentum.

Excitation of Chandrasekhar-Kendall photons in Quark Gluon Plasma by an ultrarelativitsic quarkJan 20 2016Nov 03 2016A quark propagating through the quark gluon plasma and scattering off the thermal gluons can radiate photons in states with definite angular momentum and magnetic helicity. These states, known as the Chandrasekhar-Kendall states, are eigenstates of the ... More

Electromagnetic field and the chiral magnetic effect in the quark-gluon plasmaNov 05 2014Mar 08 2016Time evolution of electromagnetic field created in heavy-ion collisions strongly depends on the electromagnetic response of the quark-gluon plasma, which can be described by the Ohmic and chiral conductivities. The later is intimately related to the Chiral ... More

Particle production in strong electromagnetic fields in relativistic heavy-ion collisionsJan 01 2013Jan 17 2013I review the origin and properties of electromagnetic fields produced in heavy ion collisions. The field strength immediately after a collision is proportional to the collision energy and reaches eB\sim(m_\pi)^2 at RHIC and eB\sim10 (m_\pi)^2 at LHC. ... More

Electromagnetic radiation by quark-gluon plasma in magnetic fieldJun 03 2012The electromagnetic radiation by quark-gluon plasma in strong magnetic field is calculated. The contributing processes are synchrotron radiation and one--photon annihilation. It is shown that in relativistic heavy--ion collisions at RHIC and LHC synchrotron ... More

J/Psi dissociation in parity-odd bubblesMay 26 2011Oct 26 2011We calculate the quarkonium dissociation rate in the P and CP-odd domains (bubbles) that were possibly created in heavy-ion collisions. In the presence of the magnetic field produced by the valence quarks of colliding ions, parity-odd domains generate ... More

Photon decay in strong magnetic field in heavy-ion collisionsAug 09 2010Feb 17 2011We calculate the photon pair production rate in strong magnetic field created in off-central heavy-ion collisions. Photon decay leads to depletion of the photon yield by a few percent at RHIC and by as much as 20% at the LHC. It also generates a substantial ... More

Multi-photon interactions in lepton photo-production on nuclei at high energiesJul 29 2009Nov 24 2009We study multi-photon effects in quantum electrodynamics in lepton photo-production on heavy nuclei and nuclear medium at high energies. We are interested in energy, charge density and nuclear geometry dependence of the cross sections. We use the impact ... More

Open and hidden charm production in pA collisionsApr 15 2005We discuss production of charmed mesons and J/Psi in p(d)A collisions at high energies. We argue that when the saturation scale Qs characterizing the parton density in a nucleus exceeds the quark mass m, the naive perturbation theory breaks down. Consequently, ... More

Pair production by boost-invariant fields in comoving coordinatesAug 14 2006Oct 01 2007We derive the pair-production probability in a constant electric field in Rindler coordinates in a quasi-classical approximation. Our result is different from the pair-production probability in an inertial frame (Schwinger formula). In particular, it ... More

General Relativity from Three-Forms in Seven DimensionsNov 23 2016We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere of a fixed radius. We show that the resulting 4D theory is General Relativity (GR) in Plebanski ... More

First observation of the $\mathrm{t\bar{t}H}$ process at CMSOct 12 2018The top quark and the Higgs boson play a special role in the fundamental interactions of the standard model. The observation of the top quark pair production in association with the Higgs boson establishes the first direct measurement of the tree-level ... More

Oscillating Wandering Domains for Functions with Escaping Singular ValuesApr 22 2019We construct a transcendental entire $f:\mathbb{C}\rightarrow\mathbb{C}$ such that (1) $f$ has bounded singular set, (2) $f$ has a wandering domain, and (3) each singular value of $f$ escapes to infinity under iteration by $f$.

From symplectic groupoids to double structuresMar 15 2015These notes are an introduction to symplectic groupoids and the double structures associated with them. The treatment is intended to lie about midway between the original account of Coste, Dazord and Weinstein, which relied on effective use of the symplectic ... More

Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariantsOct 08 2005Nov 28 2005In the present notes we provide a new uniform way to compute a canonical p-dimension of a split algebraic group G for a torsion prime p using degrees of basic polynomial invariants described by V.Kac. As an application, we compute the canonical p-dimensions ... More

Motivic decomposition of a generalized Severi-Brauer varietyJan 27 2006Let A and B be two central simple algebras of a prime degree n over a field F generating the same subgroup in the Brauer group. We show that the Chow motive of a Severi-Brauer variety SB(A) is a direct summand of the motive of a generalized Severi-Brauer ... More

Heavy quark production by a quasi-classical color field in proton-nucleus collisionsJan 06 2004May 12 2004We calculate the inclusive heavy quark production cross section for proton-nucleus collisions at high energies. We perform calculation in a quasi-classical approximation (McLerran-Venugopalan model) neglecting all low-x evolution effects. The derived ... More

Rapidity and centrality dependence of azimuthal correlations in Deuteron-Gold collisions at RHICDec 30 2009Jun 01 2010We calculate azimuthal correlations in dAu collisions at different rapidities and centralities and argue that experimentally observed depletion of the back-to-back pick can be quantitatively explained by gluon saturation in the Color Glass Condensate ... More

Manifestation of the Color Glass Condensate in particle production at RHICOct 01 2004We discuss general properties of the Color Glass Condensate. We show that predictions for particle production in p(d)A and AA collisions derived from these properties are in agreement with data collected at RHIC.

Conformal Blocks and Correlators in WZNW Model. I. Genus ZeroDec 06 1999We consider the free field approach or bosonization technique for the Wess-Zumino-Novikov-Witten model with arbitrary Kac-Moody algebra on Riemann surface of genus zero. This subject was much studied previously, and the paper can be partially taken as ... More

Self-Dual GravityOct 05 2016Self-dual gravity is a diffeomorphism invariant theory in four dimensions that describes two propagating polarisations of the graviton and has a negative mass dimension coupling constant. Nevertheless, this theory is not only renormalisable but quantum ... More

Virtual Arbitrage Pricing TheoryFeb 03 1999We generalize the Arbitrage Pricing Theory (APT) to include the contribution of virtual arbitrage opportunities. We model the arbitrage return by a stochastic process. The latter is incorporated in the APT framework to calculate the correction to the ... More

Physics of FinanceOct 18 1997We give a brief introduction to the Gauge Theory of Arbitrage. Treating a calculation of Net Present Values (NPV) and currencies exchanges as a parallel transport in some fibre bundle, we give geometrical interpretation of the interest rate, exchange ... More

Critical Crashes?Mar 09 1999In this short note we discuss recent attempts to describe pre-crash market dynamics with analogies from theory of critical phenomena.

How to account for virtual arbitrage in the standard derivative pricingFeb 03 1999In this short note we show how virtual arbitrage opportunities can be modelled and included in the standard derivative pricing without changing the general framework.

Explicit Shimura's conjecture for Sp4Dec 03 2006Shimura's conjectire (1963) concerns the rationality of the generating series for Hecke operators for the symplectic group of genus g. This conjecture wes proved by Andrianov for arbitrary genus g. For genus g=4, we explicify the rational fraction in ... More

Analytic marginalization of absorption line continuaJan 18 2019Absorption line spectroscopy is a powerful way of measuring properties of stars and the interstellar medium. Absorption spectra are often analyzed manually, an approach that limits reproducibility and which cannot practically be applied to modern datasets ... More

Special correspondences and Chow traces of Landweber-Novikov operationsAug 28 2007Mar 07 2008We prove that the function field of a variety which possesses a special correspondence in the sense of M. Rost preserves the rationality of cycles of small codimensions. This fact was proven by Vishik in the case of quadrics and played the crucial role ... More

Violation of geometric scaling in DIS due to Coulomb correctionsFeb 04 2014I compute the Coulomb correction to the total and diffractive cross sections for virtual photon scattering off a heavy nucleus at low $x$. I show that it violates the geometric scaling in a wide range of photon virtualities and is weakly $x$-independent. ... More

Coulomb corrections to photon and dilepton production in high energy pA collisionsNov 05 2013We consider particle production in high energy pA collisions. In addition to the coherent interactions with the nuclear color field, we take into account coherent interactions with the nuclear electromagnetic Coulomb field. Employing the dipole model, ... More

Rapidity and centrality dependence of azimuthal correlations in high energy d+Au collisionsDec 21 2010We discuss azimuthal correlations in $dAu$ collisions at different rapidities and centralities and argue that experimentally observed depletion of the back-to-back peak can be quantitatively explained by gluon saturation in the Color Glass Condensate ... More

Geometry of attosecond laser pulses and photon-photon scattering at high energiesSep 11 2009We derive the total cross section for scattering of a photon on an ultra-short laser pulse at high energies. We take into account all multi-photon interactions. We argue that the nonlinear effects due to these interactions become important at very high ... More

On Black Hole Horizon FluctuationsJul 23 1998Apr 15 1999A study of the high angular momentum particles 'atmosphere' near the Schwarzschild black hole horizon suggested that strong gravitational interactions occur at invariant distance of the order of $\sqrt[3]{M}$ (A. Casher et. al). We present a generalization ... More

Breakdown of kT-factorization and J/Psi production in dA collisionsDec 19 2010In spite of the sweeping coherence effects in high energy hadron and nuclei collisions, $k_T$-factorization can be recovered for the inclusive gluon production in $pA$ collisions at the leading logarithmic order. In open charm production at RHIC $k_T$-factorization ... More

Coherent and incoherent diffractive hadron production in pA collisions and gluon saturationDec 08 2008Jun 03 2009We study coherent and incoherent diffractive hadron production in high energy quarkonium--heavy nucleus collisions as a probe of the gluon saturation regime of QCD. Taking this process as a model for pA collisions, we argue that the coherent diffractive ... More

Heavy quark production in Color Glass CondensateMay 28 2006We discuss heavy quark production in High Parton Density QCD in quasi-classical approximation and including low-$x$ quantum evolution. We also consider an alternative approach based on the effect of pair production in external fields.

Development of Chaos in the Color Glass CondensateJul 06 2005Noting that the number of gluons in the hadron wave function is discrete, and their formation in the chain of small-x evolution occurs over discrete rapidity intervals of Delta y~1/alpha_s, we formulate the discrete version of the Balitsky--Kovchegov ... More

Heavy quark production from Color Glass Condensate at RHICFeb 27 2004Apr 30 2004I consider production of heavy quarks in pA and AA collisions in the framework of the Color Glass Condensate. I discuss the heavy quark production in pA collisions in a classical approximation which takes into account all multiple rescatterings of a proton ... More

Abelian Varieties, RCFTs, Attractors, and Hitchin Functional in Two DimensionsApr 25 2006We consider a generating function for the number of conformal blocks in rational conformal field theories with an even central charge c on a genus g Riemann surface. It defines an entropy functional on the moduli space of conformal field theories and ... More

Photon radiation in hot nuclear matter by means of chiral anomaliesMar 06 2019A new mechanism of photon emission in the quark-gluon plasma is proposed. Photon dispersion relation in the presence of the $CP$-odd topological regions generated by the chiral anomaly acquires an imaginary mass. It allows photon radiation through the ... More

Cores with distinct parts and bigraded Fibonacci numbersMay 28 2017The notion of $(a,b)$-cores is closely related to rational $(a,b)$ Dyck paths due to Anderson's bijection, and thus the number of $(a,a+1)$-cores is given by the Catalan number $C_a$. Recent research shows that $(a,a+1)$ cores with distinct parts are ... More

Odderon and Pomeron from the Vacuum Correlator MethodDec 12 2005Mar 29 2006Glueball masses with J<=7 are computed both for C=+1 and C=-1 using the string Hamiltonian derived in the framework of the Vacuum Correlator Method. No fitting parameters are used, and masses are expressed in terms of string tension $\sigma$ and effective ... More

Glueball spectrum and the Pomeron in the Wilson loop approachNov 09 1999Using a nonperturbative method based on asymptotic behaviour of Wilson loops we calculate masses of glueballs and corresponding Regge-trajectories. The only input is string tension fixed by meson Regge slope, while perturbative contributions to spin splittings ... More

The Feynman-Schwinger representation in QCDMay 15 2002The proper time path integral representation is derived explicitly for Green's functions in QCD. After an introductory analysis of perturbative properties, the total gluonic field is separated in a rigorous way into a nonperturbative background and valence ... More

Glueball masses and Pomeron trajectory in nonperturbative QCDDec 21 1999Feb 14 2000Using a nonperturbative method based on asymptotic behaviour of Wilson loops we calculate masses of glueballs and corresponding Regge-trajectories. The method contains no fitting parameters and the mass scale is fixed by the meson Regge slope. Theoretical ... More

Single eta production in heavy quarkonia: breakdown of multipole expansionOct 02 2008Dec 26 2008The $\eta$ production in the $(n,n')$ bottomonium transitions $\Upsilon (n) \to \Upsilon (n') \eta, $ is studied in the method used before for dipion heavy quarkonia transitions. The widths $\Gamma_\eta(n,n')$ are calculated without fitting parameters ... More

Single eta production in heavy quarkonia transitionsJun 18 2008The $\eta$ production in the $(n,n')$ bottomonium transitions $\Upsilon (n) \to \Upsilon (n') \eta, $ is studied in the method used before for dipion heavy quarkonia transitions. The widths $\Gamma_\eta(n,n')$ are calculated without fitting parameters ... More

Strong decays and dipion transitions of Upsilon(5S)May 29 2008Sep 30 2008Dipion transitions of $\Upsilon (nS)$ with $n=5, n'=1,2,3$ are studied using the Field Correlator Method, applied previously to dipion transitions with $n=2,3,4$ The only two parameters of effective Lagrangian were fixed in that earlier study, and total ... More

Confinement and $α_s$ in a strong magnetic fieldMar 30 2015Apr 01 2015Hadron decay widths are shown to increase in strong magnetic fields as $\Gamma (eB) \sim \frac{eB}{\kappa} \Gamma(0)$. The same mechanism is shown to be present in the production of the sea quark pair inside the confining string, which decreases the string ... More

Deconfinement transition for nonzero baryon density in the Field Correlator MethodMar 21 2007Mar 27 2007Deconfinement phase transition due to disappearance of confining colorelectric field correlators is described using nonperturbative equation of state. The resulting transition temperature $T_c(\mu)$ at any chemical potential $\mu$ is expressed in terms ... More

Pseudoscalar mesons and their radial excitations from the Effective Chiral LagrangianJun 23 2003Jul 03 2003Effective Chiral Lagrangian is derived from QCD in the framework of Field Correlator Method. It contains the effects of both confinement and chiral symmetry breaking due to a special structure of the resulting quark mass operator. It is shown that this ... More

Nucleon matrix elements and baryon masses in the Dirac orbital modelJul 07 2006Using the expansion of the baryon wave function in a series of products of single quark bispinors (Dirac orbitals), the nonsinglet axial and tensor charges of a nucleon are calculated. The leading term yields $g_A = 1.27$ in good agreement with experiment. ... More

Vacuum phase transition at nonzero baryon densityMar 26 2007Apr 30 2007It is argued that the dominant contribution to the interaction of quark gluon plasma at moderate $T\geq T_c$ is given by the nonperturbative vacuum field correlators. Basing on that nonperturbative equation of state of quark-gluon plasma is computed and ... More

Υ(5S) decays into BB and BBπMay 29 2008Two- and three-body decays of $\Upsilon (5S)$ into $BB, $$ BB^*, $ $ B^*B^*,$ $ B_sB_s, $ $B_sB_s^*, $ $B_s^* B_s^*$ and $BB^*\pi, B^*B^*\pi$ are evaluated using the theory, developed earlier for dipion bottomonium transitions. The theory contains only ... More

Bottomonium dipion transitionsApr 29 2008Jul 01 2008Dipion transitions of the subthreshold bottomonium levels $\Upsilon (nS)\to \Upsilon (n'S) \pi\pi$ with $n>n', n=2,3,4, n'=1,2$ are studied in the framework of the chiral decay Lagrangian, derived earlier. The channels $B\bar B, B\bar B^*+ c.c, B^* \bar ... More

Quarks and baryons in QCD at finite densityAug 22 2009The mechanism of string creation for light quarks developed earlier is considered for nonzero quark chemical potential. A strong modification of the confining string due to finite quark density (chemical quark potential $\mu$) is observed. As a surprising ... More

Axial and tensor charge of the nucleon in the Dirac orbital modelJun 06 2005Using the expansion of the baryon wave function in a series of products of single quark bispinors (Dirac orbitals), the nonsinglet axial and tensor charge of the nucleon are calculated. The leading term yields ${G_A}/{G_V} = 1.27$ and in good agreement ... More

Aplication of Frequency Map Analysis to Beam-Beam Effects Study in Crab Waist Collision SchemeFeb 19 2010Apr 05 2010We applied Frequency Map Analysis (FMA) - a method that is widely used to explore dynamics of Hamiltonian systems - to beam-beam effects study. The method turned out to be rather informative and illustrative in the case of a novel Crab Waist collision ... More

CPT violation, entanglement and gravity in particle mixingMar 25 2019We show that the gravitational interaction among the elements of a system made by mixing particle leads to the violation of the time reversal symmetry while the CP symmetry is preserved hence inducing a CPT symmetry violation. This violation is directly ... More

The Feynman-Schwinger (world-line) representation in perturbative QCDJan 02 2002The proper time path integral representation is derived explicitly for an arbitrary $n$-point amplitude in QCD. In the standard perturbation theory the formalism allows to sum up the leading subseries, e.g. yielding double-logarithm Sudakov asymptotics ... More

New Application of Functional Integrals to Classical MechanicsNov 17 2004In this paper a new functional integral representation for classical dynamics is introduced. It is achieved by rewriting the Liouville picture in terms of bosonic creation-annihilation operators and utilizing the standard derivation of functional integrals ... More

Derivative pricing with virtual arbitrageFeb 03 1999In this paper we derive an effective equation for derivative pricing which accounts for the presence of virtual arbitrage opportunities and their elimination by the market. We model the arbitrage return by a stochastic process and find an equation for ... More

How to reconcile Market Efficiency and Technical AnalysisFeb 03 1999Weak form of the Efficiency Market Hypothesis (EMH) excludes predictions of future market movements from historical data and makes the technical analysis (TA) out of law. However the technical analysis is widely used by traders and speculators who steadely ... More

Gauge Physics of Finance: simple introductionNov 13 1998In this paper we state the fundamental principles of the gauge approach to financial economics and demonstrate the ways of its application. In particular, modelling of realistic price processes is considered for an example of S&P500 market index. Derivative ... More

Tidal disruption rates in non-spherical galactic nuclei formed by galaxy mergersAug 31 2016We explore the rates of tidal disruption events (TDEs) of stars by supermassive black holes (SBHs) in galactic nuclei formed in mergers followed by a formation and coalescence of a binary SBH. Such systems initially have a deficit of stars on low-angular-momentum ... More

The photon energy spectrum in B-> X_s + γin perturbative QCD through O(α_s^2)May 12 2005Jul 11 2005We derive the dominant part of the O(\alpha_s^2) correction to the photon energy spectrum in the inclusive decay B-> X_s+gamma. The detailed knowledge of the spectrum is important for relating the theoretical calculations of the B-> X_s + \gamma decay ... More

Semileptonic b --> u decays: lepton invariant mass spectrumDec 19 2001We compute O(alpha_s^2) QCD corrections to the lepton invariant mass spectrum in the decay b --> u l nu_l, relevant for the determination of the CKM matrix element |V_{ub}|. Our method can also be used to evaluate moments of the lepton energy distribution ... More

Charmonium decays: J/psi --> e+e- and eta_c --> gamma gammaSep 06 2001We compute the O(alpha_s^2) correction to the decay rate eta_c --> gamma gamma and discuss its implications for precision quarkonium physics. We study the suitability of the ratio Gamma(J/psi --> e+e-)/Gamma(eta_c --> gamma gamma), in which the non-perturbative ... More

Two-loop QCD corrections to semileptonic b decays at maximal recoilMar 11 1997We present a complete $O(\alpha_s^2)$ correction to the differential width of the inclusive semileptonic decay $b\to cl\nu_l$ at the kinematical point of vanishing invariant mass of the leptons, $q^2=0$. Together with the recently computed $O(\alpha_s^2)$ ... More

Even unique intersection point can break OSC: an exampleSep 23 2018This was a long-standing question since 90-ies whether one-point intersection property for a self-similar set implies open set condition. We answer this question negatively. We give an example of a totally disconnected self-similar set $K\subset \mathbb ... More

Regular Magnetic Black Holes and Monopoles from Nonlinear ElectrodynamicsJun 03 2000Jan 23 2001It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally regular metric if ... More

Temperature-dependent quantum electron transport in 2D point contactJun 06 2012Oct 09 2012We consider a transmission of electrons through a two-dimensional ballistic point contact in the low-conductance regime below the 0.7-anomaly. The scattering of electrons by Friedel oscillations of charge density results in a contribution to the conductance ... More