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An example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weightsMar 18 2010We consider self-adjoint unbounded Jacobi matrices with diagonal q_n=n and weights \lambda_n=c_n n, where c_n is a 2-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum is either purely ... More

Zeroes of the spectral density of discrete Schroedinger operator with Wigner-von Neumann potentialMar 08 2012We consider a discrete Schroedinger operator whose potential is the sum of a Wigner-von Neumann term and a summable term. The essential spectrum of this operator equals to the interval [-2,2]. Inside this interval, there are two critical points where ... More

Weyl-Titchmarsh type formula for Hermite operator with small perturbationMar 18 2010Small perturbations of the Jacobi matrix with weights \sqrt n and zero diagonal are considered. A formula relating the asymptotics of polynomials of the first kind to the spectral density is obtained, which is analogue of the classical Weyl-Titchmarsh ... 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

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

Di-Pion Decays of Heavy Quarkonium in the Field Correlator MethodNov 22 2007Mechanism of di-pion transitions $nS\to n'S\pi\pi(n=3,2; n'=2,1)$ in bottomonium and charmonium is studied with the use of the chiral string-breaking Lagrangian allowing for the emission of any number of $\pi(K,\eta),$ and not containing fitting parameters. ... 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

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

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

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

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.

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

Quasi-Isometric Rigidity of Cusp-Decomposable ManifoldsApr 21 2017Jun 09 2017In this paper we explore coarse properties of cusp-decomposable manifolds first defined by Nguy\^{e}n Phan. We describe the large scale geometry of the universal cover of a cusp-decomposable manifold and of quasi-isometries between two such universal ... More

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

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

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

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

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

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

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.

On formal Schubert polynomialsJun 04 2014Present notes can be viewed as an attempt to extend the notion of Schubert/Grothendieck polynomial to the context of an arbitrary algebraic oriented cohomology theory and, hence, of a commutative one-dimensional formal group law.

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

The wave model of metric spacesJan 10 2019Let $\Omega$ be a metric space, $A^t$ denote the metric neighborhood of the set $A\subset\Omega$ of the radius $t$; ${\mathfrak O}$ be the lattice of open sets in $\Omega$ with the partial order $\subseteq$ and the order convergence. The lattice of $\mathfrak ... 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

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

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

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

A Canonical Hamiltonian Derivation of Hawking RadiationSep 25 2001We present a derivation of Hawking radiation based on canonical quantization of a massless scalar field in the background of a Schwarzschild black hole using Lemaitre coordinates and show that in these coordinates the Hamiltonian of the massless field ... 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

Renormalization of Optical Transition Strengths in Semiconductor Nanoparticles due to Band MixingMay 18 2016May 29 2016Unique optical properties of semiconductor nanoparticles (SN) make them very promising in the multitude of applications including lasing, light emission and photovoltaics. In many of these applications it is imperative to understand the physics of interaction ... 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

Fundamentals of Mathematical Theory of Emotional RobotsOct 17 2010In this book we introduce a mathematically formalized concept of emotion, robot's education and other psychological parameters of intelligent robots. We also introduce unitless coefficients characterizing an emotional memory of a robot. Besides, the effect ... More

Second order QCD corrections to inclusive semileptonic b \to Xc l \bar ν_l decays with massless and massive leptonNov 20 2009We extend previous computations of the second order QCD corrections to semileptonic b \to c inclusive transitions, to the case where the charged lepton in the final state is massive. This allows accurate description of b \to c \tau \bar \nu_\tau decays. ... More

On generalized prolate spheroidal functionsNov 07 2018Prolate spheroidal wave functions provide a natural and effective tool for computing with bandlimited functions defined on an interval. As demonstrated by Slepian et al., the so called generalized prolate spheroidal functions (GPSFs) extend this apparatus ... More

Polynomial approximation with doubling weightsAug 23 2014Oct 07 2014Among other things, we prove that, for a doubling weight $w$, $0< p\leq\infty$, $r\in{\mathbb N}_0$, and $0<\alpha <r+1 - 1/\lambda_p$, we have \[ E_n(f)_{p, w_n} = O(n^{-\alpha}) \iff \omega_\varphi^{r+1}(f, n^{-1})_{p, w_n} = O(n^{-\alpha}), \] where ... More

Equivariant pretheories and invariants of torsorsJul 22 2010May 30 2011In the present paper we introduce and study the notion of an equivariant pretheory: basic examples include equivariant Chow groups, equivariant K-theory and equivariant algebraic cobordism. To extend this set of examples we define an equivariant (co)homology ... 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

On symplectic double groupoids and the duality of Poisson groupoidsAug 03 1998We prove that the cotangent of a double Lie groupoid S has itself a double groupoid structure with sides the duals of associated Lie algebroids, and double base the dual of the Lie algebroid of the core of S. Using this, we prove a result outlined by ... More

Classical lifting processes and multiplicative vector fieldsOct 28 1997We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds ... More

Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)Apr 17 2004Jan 13 2005We derive the initial condition for the perturbative fragmentation function of a heavy quark through order O(alpha_s^2) in the MS-bar scheme. This initial condition is useful for computing heavy quark (or lepton, in case of QED) energy distributions from ... More

A New Spin Foam Model for 4d GravityAug 13 2007Jun 07 2008Starting from Plebanski formulation of gravity as a constrained BF theory we propose a new spin foam model for 4d Riemannian quantum gravity that generalises the well-known Barrett-Crane model and resolves the inherent to it ultra-locality problem. The ... More

2D Conformal Field Theories and HolographyMay 09 2002It is known that the chiral part of any 2d conformal field theory defines a 3d topological quantum field theory: quantum states of this TQFT are the CFT conformal blocks. The main aim of this paper is to show that a similar CFT/TQFT relation exists also ... More

Two-loop QCD corrections to top quark widthJun 03 1998We present O(alpha_s^2) corrections to the decay t-->bW in the limit of a very large top quark mass, m_t >> m_W. We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2). ... More

Two-loop QCD Corrections to $b \to c$ Transitions at Zero Recoil: Analytical ResultsMar 09 1997Mar 11 1997We present analytical results for the $O(\alpha _s ^2)$ contributions to the functions $\eta _A$ and $\eta _V$ which parameterize QCD corrections to semileptonic $b \to c$ transitions at zero recoil. Previously obtained approximate results are confirmed. ... More

Loop Quantization of Maxwell Theory and Electric Charge QuantizationMar 25 1997Mar 30 1997We consider the loop quantization of Maxwell theory. A quantization of this type leads to a quantum theory in which the fundamental excitations are loop-like rather than particle-like. Each such loop plays the role of a quantized Faraday's line of electric ... More

Second Order Standard ModelAug 06 2013We rewrite the Lagrangian of the fermionic sector of the Standard Model in a novel compact form. The new Lagrangian is second order in derivatives, and is obtained from the usual first order Lagrangian by integrating out all primed (or dotted) 2-component ... More

Vertex Models and Random Labyrinths: Phase Diagrams for Ice-type Vertex ModelsFeb 25 2004We propose a simple geometric recipe for constructing phase diagrams for a general class of vertex models obeying the ice rule. The disordered phase maps onto the intersecting loop model which is interesting in its own right and is related to several ... More

Vacuum self-focussing of very intense laser beamsNov 09 2006Feb 21 2007We argue that long-range photon-photon attraction induced by the dipole interaction of two electron-positron loops can lead to "vacuum self-focussing" of very intense laser beams. The focussing angle theta(F) is found to increase with the beam intensity ... More

From Color Glass Condensate to Quark Gluon Plasma through the event horizonJan 25 2005Feb 22 2005We propose a new thermalization scenario for heavy ion collisions which at sufficiently high energies implies the phase transition to the quark--gluon plasma. The key ingredient of our approach is the Hawking--Unruh effect: an observer moving with an ... More

Top quark spin correlations at the Tevatron and the LHCMar 10 2011Mar 21 2011Spin correlations of top quarks produced in hadron collisions have not been observed experimentally with large significance. In this Letter, we propose a new variable that may enable demonstration of the existence of spin correlations with 3-4 sigma significance ... More

NLO QCD corrections to top quark pair production in association with one hard jet at hadron collidersApr 19 2010Apr 26 2010We compute the QCD corrections to the production of a top quark pair in association with one hard jet at the Tevatron and the LHC, using the method of generalized D-dimensional unitarity. Top quark decays are included at leading order in perturbative ... More

Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low xMar 04 2012In this paper we present a comprehensive study of inclusive hadron production in DIS at low $x$. Properties of the hadron spectrum are different in different kinematic regions formed by three relevant momentum scales: photon virtuality $Q^2$, hadron transverse ... More

DDoS Attack and Interception Resistance IP Fast Hopping Based ProtocolMar 28 2014Denial-of-Service attacks continue to be a serious problem for the Internet community despite the fact that a large number of defense approaches has been proposed by the research community. In this paper we introduce IP Fast Hopping, easily deployable ... More

Resolvent estimates in homogenisation of periodic problems of fractional elasticityJun 09 2017We provide operator-norm convergence estimates for solutions to a time-dependent equation of fractional elasticity in one spatial dimension, with rapidly oscillating coefficients that represent the material properties of a viscoelastic composite medium. ... More

Bootstrap Equations for String-Like AmplitudeJan 15 2005One of the ways to check the consistency of our effective field theory (EFT) approach (explained by A.Vereshagin and V.Vereshagin at this conference) is to perform the numerical testing of those sum rules for hadron resonance parameters which follow from ... More

Multidimensional Cosmology with a Generalized Maxwell Field: Integrable CasesApr 06 1997We consider multidimensional cosmologies in even-dimensional space-times (D=2n) containg perfect fluid and a multidimensional generalization of the Maxwell field, preserving its conformal invariance (the F field, an n-form). Among models with an isotropic ... More

On special values of spinor L-functions of Siegel cusp eigenforms of genus 3May 14 2008We compute the special values for the spinor L-function L(s,F12) in the critical strip s={12,...,19}, where F12 is the unique (up to a scalar) Siegel cusp form of degree 3 and weight 12, which was constructed by Miyawaki. These values are proportional ... More

On the morphisms of fractal curves that increase their smoothnessFeb 02 2015We propose a construction which transforms a self-similar zipper in $\mathbb R^n$ to a self-affine zipper $\mathbb R^{n+1}$ whose attractor is a smooth curve.

Even unique intersection point can break OSC: an exampleSep 23 2018Apr 06 2019This 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