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Large Scale Structure of Neural Network Loss LandscapesJun 11 2019There are many surprising and perhaps counter-intuitive properties of optimization of deep neural networks. We propose and experimentally verify a unified phenomenological model of the loss landscape that incorporates many of them. High dimensionality ... More

Parameter-Efficient Transfer Learning for NLPFeb 02 2019Jun 13 2019Fine-tuning large pre-trained models is an effective transfer mechanism in NLP. However, in the presence of many downstream tasks, fine-tuning is parameter inefficient: an entire new model is required for every task. As an alternative, we propose transfer ... More

Instabilities driven equilibration of the quark-gluon plasmaNov 04 2005Nov 28 2005Due to anisotropic momentum distributions the parton system produced at the early stage of relativistic heavy-ion collisions is unstable with respect to the magnetic plasma modes. The instabilities isotropize the system and thus speed up the process of ... More

Unstable Quark-Gluon Plasma at LHCApr 02 2008May 02 2008Coupling of the quark-gluon plasma from the early stage of heavy-ion collisions is argued to be weaker at LHC than at RHIC. For this reason, the role of instabilities - the pre-equilibrium plasma is unstable with respect to chromomagnetic modes - will ... More

Thermalization vs. Isotropization & Azimuthal FluctuationsJun 17 2005Jun 29 2005Hydrodynamic description requires a local thermodynamic equilibrium of the system under study but an approximate hydrodynamic behaviour is already manifested when a momentum distribution of liquid components is not of equilibrium form but merely isotropic. ... More

Types and operations (version 3)Jan 13 2015Mar 07 2016A revision of the basic concepts of type, function (called here operation), and relation is proposed. A simple generic method is presented for constructing operations and types as concrete finite structures parameterized by natural numbers. The method ... More

Late-time evolution of the gravitating SkyrmionJun 23 2009We study the dynamics of spherically symmetric solutions in the Einstein Skyrme model. We focus our attention on generic long time evolution of initial data resulting in the formation of the B = 1 soliton, which plays the role of an attractor. We demonstrate ... More

On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step LengthJul 13 2018Jul 09 2019Stochastic Gradient Descent (SGD) based training of neural networks with a large learning rate or a small batch-size typically ends in well-generalizing, flat regions of the weight space, as indicated by small eigenvalues of the Hessian of the training ... More

The beginning of the UniverseDec 16 2003In this brief essay we consider the concept of beginning in cosmology. It can be applied to the Universe as a whole, as well as to various epochs in the cosmic history and major structures as we can see them today.

Wigner functional of fermionic fieldsDec 22 2012Apr 03 2013The Wigner function, which provides a phase-space description of quantum systems, has various applications in quantum mechanics, quantum kinetic theory, quantum optics, radiation transport and others. The concept of Wigner function has been extended to ... More

Chromodynamic Fluctuations in Quark-Gluon PlasmaJan 03 2008Apr 04 2008Fluctuations of chromodynamic fields in the collisionless quark-gluon plasma are found as a solution of the initial value linearized problem. The plasma initial state is on average colorless, stationary and homogeneous. When the state is stable, the initial ... More

Transverse momentum and energy correlations in the equilibrium system from high-energy nuclear collisionsJun 26 1998Mar 24 1999The so-called $\Phi$ parameter, which measures the transverse momentum or energy correlations (fluctuations) in high-energy collisions independently of the particle multiplicity, is computed for the equilibrium ideal gas. As expected $\Phi$ vanishes for ... More

Fluctuations of Chromodynamic Fields in Quark-Gluon PlasmaOct 08 2008Chromodynamic fluctuations in the collisionless quark-gluon plasma are found as a solution of the initial value linearized problem. The stable and unstable plasmas are discussed.

Topics in the Transport Theory of Quark-Gluon PlasmaMay 23 1998A few topics of the transport theory of quark-gluon plasma are reviewed. A derivation of the transport equations form the underlaying dynamical theory is discussed within the $\phi^4$ model. Peculiarities of the kinetic equations of quarks and gluons ... More

On a new property of VC classesNov 19 2012Nov 21 2012We give an abstract approach to the results of Adams and Nobel, [1]. It allows to exhibit a new property of VC classes. It should be stressed that the basic ideas of proofs can be found in [1].

On the Dynamics of Unstable Quark-Gluon PlasmaOct 30 2009Since the quark-gluon plasma, which is unstable due to anisotropic momentum distribution, evolves fast in time, plasma's characteristics have to be studied as initial value problems. The chromodynamic fluctuations and the momentum broadening of a fast ... More

Correlation of transverse momentum and multiplicity in a superposition model of nucleus-nucleus collisionsJan 27 2006Mar 31 2006In p-p collisions the average transverse momentum is known to be correlated with the multiplicity of produced particles. The correlation is shown to survive in a superposition model of nucleus-nucleus collisions. When properly parameterized, the correlation ... More

Quasiquarks in two stream systemDec 06 2001Apr 25 2002We study the collective quark excitations in an extremely anisotropic system of two interpenetrating streams of the quark-gluon plasma. In contrast to the gluon modes, all quark ones appear to be stable in such a system. Even more, the quark modes in ... More

Phi-measure of azimuthal fluctuationsJul 25 1999Sep 03 1999The event-by-event azimuthal fluctuations in high-energy heavy-ion collisions are analyzed by means of the so-called Phi-measure. The fluctuations due to the collective transverse flow and those caused by the quantum statistics and resonance decays in ... More

Quark-Gluon PlasmaMay 04 1999An elementary introduction to the physics of quark-gluon plasma is given. We start with a sketchy presentation of the Quantum Chromodynamics which is the fundamental theory of strong interactions. The structure of hadrons built up of quarks and gluons ... More

On the notion of "von Neumann vicious circle" coined by John BackusFeb 03 2016Mar 07 2016"The von Neumann vicious circle" means that non-von Neumann computer architectures cannot be developed because of the lack of widely available and effective non-von Neumann languages. New languages cannot be created because of lack of conceptual foundations ... More

The volume of separable states is super-doubly-exponentially smallOct 09 2003Jun 30 2004In this note we give sharp estimates on the volume of the set of separable states on N qubits. In particular, the magnitude of the "effective radius" of that set in the sense of volume is determined up to a factor which is a (small) power of N, and thus ... More

On higher order computations and synaptic meta-plasticity in the human brain: IT point of view (June, 2016)Mar 07 2016Jun 16 2016Glia modify neuronal connectivity by creating structural changes in the neuronal connectome. Glia also influence the functional connectome by modifying the flow of information through neural networks (Fields et al. 2015). There are strong experimental ... More

Early stage thermalization via instabilitiesNov 06 2006Due to anisotropic momentum distributions the parton system produced at the early stage of relativistic heavy-ion collisions is unstable with respect to the magnetic plasma modes. The instabilities isotropize the system and thus speed up the process of ... More

Measuring charge fluctuations in high-energy nuclear collisionsDec 03 2001Jul 01 2002Various measures of charge fluctuations in heavy-ion collisions are discussed. Advantages of the Phi-measure are demonstrated and its relation to other fluctuation measures is established. To get the relation, Phi is expressed through the moments of multiplicity ... More

Hadronic matter compressibility from event-by-event analysis of heavy-ion collisionsDec 08 1997May 23 1998We propose a method to measure the hadronic matter compressibility by means of the event-by-event analysis of heavy-ion collisions at high energies. The method, which utilizes the thermodynamical relation between the compressibility and the particle number ... More

Color filamentation in ultrarelativistic heavy-ion collisionsJun 26 1996We study color fluctuations in the quark-gluon plasma produced at the early stage of nucleus-nucleus collision at RHIC or LHC. The fluctuating color current, which flows along the beam, can be very {\it large} due to the strong anisotropy of the parton ... More

Generalizing Phi-measure of event-by-event fluctuations in high-energy heavy-ion collisionsMay 10 1999Jul 18 1999The Phi-measure of event-by-event fluctuations in high-energy heavy-ion collisions corresponds to the second moment of the fluctuating quantity distribution of interest. It is shown that the measure based on the third moment preserves the properties of ... More

Elementary Atom Interaction with MatterJul 30 1998The calculations of the elementary atom (the Coulomb bound state of elementary particles) interaction with the atom of matter, which are performed in the Born approximation, are reviewed. We first discuss the nonrelativistic approach and then its relativistic ... More

Transport Theory of Massless FieldsFeb 03 1997Using the Schwinger-Keldysh technique we discuss how to derive the transport equations for the system of massless quantum fields. We analyse the scalar field models with quartic and cubic interaction terms. In the $\phi^4$ model the massive quasiparticles ... More

Continuum as a primitive type (version 2)Oct 06 2015Oct 27 2015The paper is the revision and extended version of the Section 6 of the paper {\em Types and operations} arXiv:1501.03043. Here, primitive types (corresponding to the intuitive concept of Continuum) are introduced along with primitive operations, constructors, ... More

On the B^1Πstate of NaCsSep 25 2009The B^1\Pi <- X^1\Sigma^+ system of NaCs molecule is investigated experimentally by polarization labelling spectroscopy technique. The inverted perturbation approach method is used to construct the potential energy curve of the B^1\Pi state, providing ... More

Proper SL(2,R)-actions on homogeneous spacesMay 16 2014Nov 14 2014In this paper we give sufficient conditions for homogeneous spaces G/H of simple real Lie groups G to admit proper actions of SL(2,R). We single out wide classes of spaces satisfying these conditions. We classify all homogeneous spaces G/H with H of real ... More

How to evaluate word embeddings? On importance of data efficiency and simple supervised tasksFeb 07 2017Maybe the single most important goal of representation learning is making subsequent learning faster. Surprisingly, this fact is not well reflected in the way embeddings are evaluated. In addition, recent practice in word embeddings points towards importance ... More

Late-time tails of self-gravitating skyrmionsJan 26 2010Jan 25 2011We consider the long-time behaviour of spherically symmetric solutions in the Einstein-Skyrme model. Using nonlinear perturbation analysis we obtain the leading order estimation of the tail in the topologically trivial sector (B = 0) of the model. We ... More

Non-existence of standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groupsJan 14 2019We use a computer-aided approach to prove that there are no standard compact Clifford-Klein forms of homogeneous spaces of exceptional Lie groups. This yields further support for Kobayashi's conjecture about possible compact Clifford-Klein forms. On one ... More

Parameter-Efficient Transfer Learning for NLPFeb 02 2019Fine-tuning large pre-trained models is an effective transfer mechanism in NLP. However, in the presence of many downstream tasks, fine-tuning is parameter inefficient: an entire new model is required for every task. As an alternative, we propose transfer ... More

QCD effective actions from the solutions of the transport equationsJun 21 2002Oct 22 2002We solve the collisionless transport equations of a quark-gluon plasma interacting through mean chromodynamic fields. The system is assumed to be translation invariant in one or more space-time directions. We present exact solutions that hold if the vector ... More

Proton radius puzzle in Hamiltonian dynamicsOct 21 2014Relativistic lepton-proton bound-state eigenvalue equations for Hamiltonians derived from quantum field theory using second-order renormalization group procedure for effective particles, are reducible to two-body Schroedinger eigenvalue equations with ... More

Estimate of resources required for a meaningful reform of educationNov 23 2012A simple estimate in terms of currency units shows that a meaningful educational reform process can be launched and sustained over many generations of teachers with support of parents of students. In the estimate, the steady inflow of resources from parents ... More

Renormalization group and bound statesOct 29 2008Renormalization group procedure suggests that the low-energy behavior of effective coupling constant in asymptotically free Hamiltonians is connected with the existence of bound states and depends on how the interactions responsible for the binding are ... More

Light-front Hamiltonians for heavy quarks and gluonsNov 21 2005A boost-invariant light-front Hamiltonian formulation of canonical quantum chromodynamics provides a heuristic picture of the binding mechanism for effective heavy quarks and gluons.

Renormalization of Hamiltonians in the Light-Front Fock SpaceJun 29 1997We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with no limitation of the space of states. Both, the regularization ... More

Still more on norms of completely positive mapsMar 13 2006Mar 31 2006King and Ruskai asked whether the norm of a completely positive map acting between Schatten classes of operators is equal to that of its restriction to the real subspace of self-adjoint operators. Proofs have been promptly supplied by Watrous and Audenaert. ... More

Dvoretzky's theorem and the complexity of entanglement detectionOct 02 2015Mar 25 2016The well-known Horodecki criterion asserts that a state $\rho$ on $\mathbf{C}^d \otimes \mathbf{C}^d$ is entangled if and only if there exists a positive map $\Phi : \mathsf{M}_d \to \mathsf{M}_d$ such that the operator $(\Phi \otimes \mathrm{Id})(\rho)$ ... More

Hadron-Deuteron Correlations and Production of Light Nuclei in Relativistic Heavy-Ion CollisionsApr 17 2019Production of light nuclei in relativistic heavy-ion collisions is well described by both the thermal model, where light nuclei are in equilibrium with all other hadron species present in a fireball, and the coalescence model, where light nuclei are formed ... More

Polish Mathematicians and Mathematics in World War IApr 06 2018In this article we present diverse experiences of Polish mathematicians (in a broad sense) who during World War I fought for freedom of their homeland or conducted their research and teaching in difficult wartime circumstances. We first focus on those ... More

Ghosts in Keldysh-Schwinger FormalismJan 22 2014Mar 14 2014We discuss how to introduce Faddeev-Popov ghosts to the Keldysh-Schwinger formalism describing equilibrium and non-equilibrium statistical systems of quantum fields such as the quark-gluon plasma which is considered. The plasma is assumed to be homogeneous ... More

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanicsJan 28 2019In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method. Next, we introduce a numerical scheme ... More

Adsorption of ammonia at GaN(0001) surface in the mixed ammonia/hydrogen ambient - a summary of ab initio dataMay 24 2014Adsorption of ammonia at NH3/NH2/H covered GaN(0001) surface was analyzed using results of ab initio calculations. The whole configuration space of partially NH3/NH2/H covered GaN(0001) surface was divided into zones differently pinned Fermi level: at ... More

Altruism and Antagonistic Pleiotropy in Penna Ageing ModelJun 14 2004The Penna ageing model is based on mutation accumulation theory. We show that it also allows for self-organization of antagonistic pleiotropy which helps at young age at the expense of old age. This can be interpreted as emergence of altruism.

The Exclusive NLO DGLAP Kernels for Non-Singlet EvolutionSep 30 2009We show for a first time ever a prototype of a fully exclusive QCD NLO parton shower for the initial state (albeit for a limited set of diagrams). It is based on the rigorous theorems of the collinear factorisation, however the standard DGLAP evolution ... More

The Living Network of Schools Owned by Teachers and StudentsApr 02 1998This paper describes a network of teachers and students who form a living system of education at all levels and achieve high standards. The key process of the network is the process of effective learning by inquiry. Physics is distinguished among sciences ... More

Fermion mass mixing and vacuum triviality in the renormalization group procedure for effective particlesMay 16 2013Renormalization group procedure for effective particles is applied to the model quantum theory of free fermions to which one adds an interaction in the form of a mass mixing term. If one used a standard approach based on the instant form of dynamics, ... More

Limit cycles of effective theoriesNov 01 2006A simple example is used to show that renormalization group limit cycles of effective quantum theories can be studied in a new way. The method is based on the similarity renormalization group procedure for Hamiltonians. The example contains a logarithmic ... More

Coulomb Effects in FemtoscopyFeb 28 2009Sep 28 2009The correlation function of two identical particles - pions or kaons - interacting via Coulomb potential is computed. The particles are emitted from an anisotropic particle's source of finite lifetime. In the case of pions, the effect of halo is taken ... More

Whitening of the Quark-Gluon PlasmaMar 02 2004Sep 21 2004Parton-parton collisions do not neutralize local color charges in the quark-gluon plasma as they only redistribute the charges among momentum modes. We discuss color diffusion and color conductivity as the processes responsible for the neutralization ... More

Chromodynamic Weibel instabilities in relativistic nuclear collisionsMar 10 2003Jul 07 2003Employing a previously derived formulation, and extending the treatment from purely transverse modes to wave vectors having a longitudinal component, we discuss the prospects for the occurrence of Weibel-type color-current filamentation in high-energy ... More

Chromo-Hydrodynamic Approach to the Unstable Quark-Gluon PlasmaJun 27 2006Oct 20 2006We derive hydrodynamic-like equations that are applicable to short-time scale color phenomena in the quark-gluon plasma. The equations are solved in the linear response approximation, and the gluon polarization tensor is derived. As an application, we ... More

On the flavour dependence of polarized sea in the nucleonJul 06 1996We performed a phenomenological fit in order to get quark parton polarized distributions in the nucleon. All data on inclusive and semi-inclusive spin asymmetries measured on nucleon targets were used. We present the results for the flavour dependence ... More

Complete plasmon spectrum of two-stream systemMar 30 2015Jun 22 2015The complete spectrum of plasmons of the two interpenetrating plasma streams is found in a closed analytic form. The orientation of the wave vector with respect to the stream direction is arbitrary and the plasmas, which are assumed to be collisionless ... More

Alternative representation of N \times N density matrixFeb 06 2006We use polarization operators known from quantum theory of angular momentum to expand the $N \times N$ dimensional density operators. Thereby, we construct generalized Bloch vectors representing density matrices. We study their properties and derive positivity ... More

Universality of Hard-Loop ActionOct 19 2014Dec 17 2014The effective actions of gauge bosons, fermions and scalars, which are obtained within the hard-loop approximation, are shown to have unique forms for a whole class of gauge theories including QED, scalar QED, super QED, pure Yang-Mills, QCD, super Yang-Mills. ... More

Collisional Processes in Supersymmetric PlasmaAug 11 2011Oct 15 2011Collisional processes in ultrarelativistic N=1 SUSY QED plasma are studied and compared to those in an electromagnetic plasma of electrons, positrons and photons. Cross sections of all binary interactions which occur in the supersymmetric plasma at the ... More

Application of the Mössbauer spectroscopy to study harmonically modulated electronic structures: case study of charge- and spin-density waves in Cr and its alloysJan 31 2016Relevance of the M\"ossbauer spectroscopy in the study of harmonically modulated electronic structures i.e. spin-density waves (SDWs) and charge-density waves (CDWs) is presented and discussed. First, the effect of various parameters pertinent to the ... More

Comment on `Charged Particle Ratio Fluctuation as a Signal for Quark-Gluon Plasma' and `Fluctuation Probes of Quark Deconfinement'Dec 28 2000Mar 27 2001Charge fluctuations studied on event-by-event basis have been recently suggested to provide a signal of the equilibrium quark-gluon plasma produced in heavy-ion collisions at high energies. It is argued that the fluctuations generated at the early collision ... More

Dynamics of Effective GluonsDec 02 2000Renormalized Hamiltonians for gluons are constructed using a perturbative boost-invariant renormalization group procedure for effective particles in light-front QCD, including terms up to third order. The effective gluons and their Hamiltonians depend ... More

Fermion mass mixing in vacuumDec 04 2013Renormalization group procedure for effective particles (RGPEP) is applied to a theory of fermions that interact only through mass mixing terms in their Hamiltonian. Problems with virtual pair production in vacuum are avoided by using the front form of ... More

Hypothesis of quark binding by condensation of gluons in hadronsOct 07 2011Hypothesis of quark binding through condensation of gluons inside hadrons is formulated in the context of a renormalization group procedure for effective particles (RGPEP) in the light-front (LF) Hamiltonian approach to QCD. At the momentum scales of ... More

Non-local structure of renormalized Hamiltonian densities on the light-front hyperplane in space-timeJun 21 2010When canonical Hamiltonians of local quantum field theories are transformed using a renormalization group procedure for effective particles, the resulting interaction terms are non-local. The range of their non-locality depends on the arbitrary parameter ... More

On the positivity of Bloch-Boltzmann equationsDec 17 2004In a large variety of spectroscopical applications Bloch-Boltzmann equations (BBE) play an essential role. They describe the evolution of the reduced density operator of an active atom which is coupled to radiation (Bloch part) and which interacts collisionally ... More

Metric Entropy of Homogeneous SpacesJan 28 1997For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$. Knowledge of the {\em metric entropy}, i.e., ... More

World stock market: more sizeable trend reversal likely in February/March 2010Sep 02 2009Nov 17 2009Based on our "finance-prediction-oriented" methodology which involves such elements as log-periodic self-similarity, the universal preferred scaling factor lambda=2, and allows a phenomenon of the "super-bubble" we analyze the 2009 world stock market ... More

Spin polarized current and shot noise in carbon nanotube quantum dot in the Kondo regimeMar 04 2010Using nonequilibrium Green functions and several complementary many-body approximations we calculate shot noise and spin dependent conductance in carbon nanotube semiconducting quantum dot in spin-orbital Kondo regime. We point out on the possibility ... More

Mass matrices for quarks and leptons in triangular formDec 29 2007Sep 04 2008We assume that all quark and lepton mass matrices have upper triangular form. Using all available experimental data on quark and lepton masses and mixing angles we make a fit in which we determine mass matrices elements. There are too many free parameters ... More

Discontinuity points of a function with a closed and connected graphJun 13 2013The main result of this paper states that for a function $f:\R^2\to Y$ with a closed, connected and locally connected graph, where $Y$ is a locally compact, second-countable metrisable space, the graph over discontinuity points remains locally connected. ... More

Integrated Azimuthal Correlations in Nucleus-Nucleus Collisions at CERN SPSOct 21 2011Azimuthal correlations of particles produced in nucleus-nucleus collisions at CERN SPS are discussed. The correlations quantified by the integral measure Phi are shown to be dominated by effects of collective flow.

Metric entropy of homogeneous spaces and Finsler geometry of classical Lie groupsJan 22 1997For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$. Knowledge of the {\em metric entropy}, i.e., ... More

Quantum-statistical theory of Raman scattering processesOct 22 2011Raman scattering from a great number of phonon modes is described from a quantum-statistical point of view within the standing-wave model. The master equation for the completely quantum case, including laser pump depletion and stochastic coupling of Stokes ... More

Masses and Boost-Invariant Wave Functions of Heavy Quarkonia from the Light-Front Hamiltonian of QCDAug 22 2006A new scheme for calculating masses and boost-invariant wave functions of heavy quarkonia is developed in a light-front Hamiltonian formulation of QCD. Only the simplest approximate version with one flavor of quarks and an ansatz for the mass gap for ... More

Harmonic oscillator force between heavy quarksJul 07 2003A renormalization group procedure for effective particles is applied to quantum chromodynamics of one flavor of quarks with large mass m in order to calculate light-front Hamiltonians for heavy quarkonia, H_lambda, using perturbative expansion in the ... More

Boost-Invariant Running Couplings in Effective HamiltoniansApr 06 1999May 18 1999We apply a boost-invariant similarity renormalization group procedure to a light-front Hamiltonian of a scalar field phi of bare mass mu and interaction term g phi^3 in 6 dimensions using 3rd order perturbative expansion in powers of the coupling constant ... More

Perturbative formulae for relativistic interactions of effective particlesApr 20 2012The concept of effective particles as degrees of freedom in a relativistic quantum field theory is defined using a non-perturbative renormalization group procedure for Hamiltonians. However, every candidate for a basic physical theory appears to require ... More

Heavy Quarkonia in Light-Front QCDDec 10 2007This talk is based on results obtained for masses and wave functions of heavy quarkonia in a light-front Hamiltonian formulation of QCD with just one flavor of quarks using an ansatz for the mass-gap for gluons. Since the calculated spectra compare reasonably ... More

Similarity renormalization group as a theory of effective particlesOct 27 2003The similarity renormalization group procedure formulated in terms of effective particles is briefly reviewed in a series of selected examples that range from the model matrix estimates of its numerical accuracy to issues of the Poincare symmetry in constituent ... More

Strongly and Weakly Unstable Anisotropic Quark-Gluon PlasmaApr 18 2005Jul 19 2005Using explicit solutions of the QCD transport equations, we construct an effective potential for an anisotropic quark-gluon plasma which under plausible assumptions holds beyond the Hard Loop approximation. The configurations, which are unstable in the ... More

Inaccurate use of asymptotic formulasJan 13 2004Feb 03 2004The asymptotic form of the plane wave decomposition into spherical waves, which is used to express the scattering amplitude in terms of phase shifts, is incorrect. We explain why and show how to circumvent the mathematical inconsistency.

p_T-fluctuations in high-energy p-p and A-A collisionsMar 23 2001Jul 03 2001The event-by-event p_T-fluctuations in proton-proton and central Pb-Pb collisions, which have been experimentally studied by means of the so-called Phi-measure, are analyzed. The contribution due to the correlation which couples the average p_T to the ... More

Sum rule of the correlation functionSep 27 2004Feb 28 2005We discuss a sum rule satisfied by the correlation function of two particles with small relative momenta. The sum rule, which results from the completeness condition of the quantum states of the two particles, is first derived and then we check how it ... More

Membrane boundary conditionMar 10 2000Using a microscopic phase-space model of the membrane system, the boundary condition at a membrane is derived. According to the condition, the substance flow across the membrane is proportional to the difference of the substance concentrations at the ... More

Massive Relativistic Systems with Spin and the Two Twistor Phase SpaceApr 05 2004We show that a two twistor phase space {\`a} priori describing two non localized massless and spinning particles may be decomposed into a product of three independent phase spaces: the (forward) cotangent bundle of the Minkowski space, the cotangent bundle ... More

Why Y chromosome is shorter and women live longer?Jan 04 2008We have used the Penna ageing model to analyze how the differences in evolution of sex chromosomes depend on the strategy of reproduction. In panmictic populations, when females (XX) can freely choose the male partner (XY) for reproduction from the whole ... More

A possible glueball contribution to the Goldberger-Treiman relationsJan 08 1993Jan 15 1993We discuss the influence of glueball coupling to nucleons on the weak axial-vector coupling constants including singlet channel. We consider a possibility of introduction of constituent gluon contribution to the proton spin. The estimated value for this ... More

To Understand Nature - Computer Modelling between Genetics and EvolutionJan 11 2009We have presented the basic knowledge on the structure of molecules coding the genetic information, mechanisms of transfer of this information from DNA to proteins and phenomena connected with replication of DNA. In particular, we have described the differences ... More

The closed graph function from plane with the network of discontinuity pointsJul 09 2013Jul 16 2013The main result of this paper states, that if a function $f:\R^2\to [0, +\infty)$ has a closed graph and the set of discontinuity points is a network (as defined by Kuratowski in Topology II, 61.IV), then the graph of $f$ is disconnected. It is also proven ... More

Universal Hard-Loop ActionsMay 29 2015The effective actions of gauge bosons, fermions and scalars, which are obtained within the hard-loop approximation, are shown to have unique forms for a whole class of gauge theories including QED, scalar QED, super QED, pure Yang-Mills, QCD, super Yang-Mills. ... More

Super Yang-Mills PlasmaOct 17 2013Oct 25 2013The N = 4 super Yang-Mills plasma is studied in the regime of weak coupling. Collective excitations and collisional processes are discussed and compared to those of QCD plasma. The two systems are concluded to be very similar to each other with the differences ... More

N=4 Super Yang-Mills PlasmaMar 08 2012Nov 10 2014The N=4 super Yang-Mills plasma is studied in the regime of weak coupling. Collective excitations and collisional processes are discussed. Since the Keldysh-Schwinger approach is used, the collective excitations in both equilibrium and non-equilibrium ... More

Supersymmetric QED PlasmaOct 26 2011We systematically compare the N=1 SUSY QED plasma to its non-supersymmetric counterpart which is QED plasma of electrons, positrons and photons. Collective excitations and collisional processes in the two systems are confronted to each other in a regime ... More

Collective Excitations of Supersymmetric PlasmaNov 28 2010Jan 24 2011Collective excitations of N = 1 supersymmetric electromagnetic plasma are studied. Since the Keldysh-Schwinger approach is used, not only equilibrium but also non-equilibrium plasma, which is assumed to be ultrarelativistic, is under consideration. The ... More