255 research outputs found
Chaotic Dynamics of SU(2) Gauge Fields in the Presence of Static Charges
We have found in numerical simulations that the chaoticity of the classical
hamiltonian lattice SU(2) gauge theory is reduced in the presence of static
charges at the same total energy. The transition from strongly to weakly
chaotic behavior is rather sudden at a critical charge strength.Comment: LaTeX, 10 pages, 2 figs as .PS in ym_figs.uu Submitted to Chaos,
Solitons and Fractal
Cooper-Frye Formula and Non-extensive Coalescence at RHIC Energy
Transverse spectra are calculated for various types of hadrons stemming from
Au Au collisions at GeV. We utilize a quark recombination model
based on generalized Boltzmann-Gibbs thermodynamics for local hadron production
at various break-up scenarios.Comment: 4 pages, 1 figur
Power-law tailed spectra from equilibrium
We propose that power-law tailed hadron spectra may be viewed as stemming
from a matter in an unconventional equilibrium state typical for non-extensive
thermodynamics. A non-extensive Boltzmann equation, which is able to form such
spectra as a stationary solution, is utilized as a rough model of quark matter
hadronization. Basic ideas about non-extensive simulation of the QCD equation
of state on the lattice are presented.Comment: Talk given at QM2005, Budapest, uses espcrc1.st
Microcanonical Jet-fragmentation in proton-proton collisions at LHC Energy
In this paper, we show that the distribution of the longitudinal momentum
fraction of charged hadrons inside jets stemming from proton-proton
collisions at = 7 TeV center of mass energy can be described by a
statistical jet-fragmentation model. This model combines microcanonical
statistics and super-statistics induced by multiplicity fluctuations. The
resulting scale dependence of the parameters of the model turns out to be
similar to what was observed in electron-positron annihilations in Urmossy,
Barnaf\"oldi, and Bir\'o.Comment: 7 pages, 8 figure
Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
We discuss the relaxation of the scalar and pseudoscalar condensates after a
rapid quench from an initial state with fluctuations. If we include not only
the zero-mode but also higher modes of the condensates in the classical
evolution, we observe parametric amplification of those ``hard'' modes. Thus,
they couple nonlinearly to the ``soft'' modes. As a consequence, domains of
coherent pi-field emerge long after the initial spinodal decomposition. The
momentum-space distribution of pions emerging from the decay of that
momentum-dependent condensate is discussed.Comment: 6 Pages, REVTEX, 8 Figures; one reference and one figure adde
Equation of state and initial temperature of quark gluon plasma at RHIC
In gold-gold collisions of the Relativistic Heavy Ion Collider (RHIC) a
perfect fluid of quarks, sometimes called the strongly interacting quark gluon
plasma (sQGP) is created for an extremely short time. The time evolution of
this fluid can be described by hydrodynamical models. After expansion and
cooling, the freeze-out happens and hadrons are created. Their distribution
reveals information about the final state of the fluid. To investigate the time
evolution one needs to analyze penetrating probes, such as direct photon
observables. Transverse momentum distributions of low energy direct photons
were mesured in 2010 by PHENIX, while azimuthal asymmetry in 2011. These
measurements can be compared to hydrodynamics to determine the equation of
state and the initial temperature of sQGP. In this paper we analyze an 1+3
dimensional solution of relativistic hydrodynamics. We calculate momentum
distribution, azimuthal asymmetry and momentum correlations of direct photons.
Based on earlier fits to hadronic spectra, we compare photon calculations to
measurements to determine the equation of state and the initial temperature of
sQGP. We find that the initial temperature in the center of the fireball is
507+-12 MeV, while for the sound speed we get a speed of sound of 0.36+-0.02.
We also estimate a systematic error of these results. We find that the measured
azimuthal asymmetry is also not incompatible with this model, and predict a
photon source that is significantly larger in the out direction than in the
side direction.Comment: 12 pages, 4 figures. This work was supported by the OTKA grant
NK-73143 and NK-101438 and M. Csanad's Bolyai scholarshi
Infrared Behaviour of The Gluon Propagator in Non-Equilibrium Situations
The infrared behaviour of the medium modified gluon propagator in
non-equilibrium situations is studied in the covariant gauge using the
Schwinger-Keldysh closed-time path formalism. It is shown that the magnetic
screening mass is non-zero at the one loop level whenever the initial gluon
distribution function is non isotropic with the assumption that the
distribution function of the gluon is not divergent at zero transverse
momentum. For isotropic gluon distribution functions, such as those describing
local equilibrium, the magnetic mass at one loop level is zero which is
consistent with finite temperature field theory results. Assuming that a
reasonable initial gluon distribution function can be obtained from a
perturbative QCD calculation of minijets, we determine these out of equilibrium
values for the initial magnetic and Debye screening masses at energy densities
appropriate to RHIC and LHC. We also compare the magnetic masses obtained here
with those obtained using finite temperature lattice QCD methods at similar
temperatures at RHIC and LHC.Comment: 21 pages latex, 4 figures, final version to be published in Phys.
Rev.
Forming Disoriented Chiral Condensates through Fluctuations
Using the influence functional formalism, classical equations of motion for
the O(N) model are derived in the presence of a heat bath, in both the
symmetric phase as well as the phase of spontaneously broken symmetry. The heat
bath leads to dissipation and fluctuation terms in the classical equations of
motion, which are explicitly computed to lowest order in perturbation theory.
In the broken phase these terms are found to be large for the sigma field, even
at zero temperature, due to the decay process sigma -> pi pi, while they are
small for the pi fields at temperatures below T_c = 160 MeV. It is shown that
in large volumes the presence of dissipation and fluctuations suppresses the
formation of disoriented chiral condensates (DCC's). In small volumes, however,
fluctuations become sufficiently large to induce the formation of DCC's even if
chiral symmetry has not been restored in the initial stage of the system's
evolution.Comment: 34 pages, 11 figures, ReVTeX, eps-, aps-, psfig-style files require
Supersymmetry and Integrability in Planar Mechanical Systems
We present an N=2-supersymmetric mechanical system whose bosonic sector, with
two degrees of freedom, stems from the reduction of an SU(2) Yang-Mills theory
with the assumption of spatially homogeneous field configurations and a
particular ansatz imposed on the gauge potentials in the dimensional reduction
procedure. The Painleve test is adopted to discuss integrability and we focus
on the role of supersymmetry and parity invariance in two space dimensions for
the attainment of integrable or chaotic models. Our conclusion is that the
relationships among the parameters imposed by supersymmetry seem to drastically
reduce the number of possibilities for integrable interaction potentials of the
mechanical system under consideration.Comment: 20 pages, 3 figure
Limiting temperature from a parton gas with power-law tailed distribution
We combine Tsallis distributed massless partons to an effective thermal
prehadron spectrum by folding. A limiting temperature and a mass spectrum
combined of three exponentials emerge from this procedure. Meson and baryon
resonance spectra have different polynomial prefactors.Comment: 4 pages, 2 figures, revtex4 style, v2 more reference
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