46 research outputs found
Photon Production from a Quark-Gluon-Plasma at Finite Baryon Chemical Potential
We compute the photon production of a QCD plasma at leading order in the
strong coupling with a finite baryon chemical potential. Our approach starts
from the real time formalism of finite temperature field theory. We identify
the class of diagrams contributing at leading order when a finite chemical
potential is added and resum them to perform a full treatment of the LPM effect
similar to the one performed by Arnold, Moore, and Yaffe at zero chemical
potential. Our results show that the contribution of and processes grows as the chemical potential grows.Comment: 28 pages, 14 figure
3+1D hydrodynamic simulation of relativistic heavy-ion collisions
We present MUSIC, an implementation of the Kurganov-Tadmor algorithm for
relativistic 3+1 dimensional fluid dynamics in heavy-ion collision scenarios.
This Riemann-solver-free, second-order, high-resolution scheme is characterized
by a very small numerical viscosity and its ability to treat shocks and
discontinuities very well. We also incorporate a sophisticated algorithm for
the determination of the freeze-out surface using a three dimensional
triangulation of the hyper-surface. Implementing a recent lattice based
equation of state, we compute p_T-spectra and pseudorapidity distributions for
Au+Au collisions at root s = 200 GeV and present results for the anisotropic
flow coefficients v_2 and v_4 as a function of both p_T and pseudorapidity. We
were able to determine v_4 with high numerical precision, finding that it does
not strongly depend on the choice of initial condition or equation of state.Comment: 16 pages, 11 figures, version accepted for publication in PRC,
references added, minor typos corrected, more detailed discussion of
freeze-out routine adde
Charge Transfer Fluctuations as a QGP Signal
In this study, we analyze the recently proposed charge transfer fluctuations
within a finite pseudo-rapidity space. As the charge transfer fluctuation is a
measure of the local charge correlation length, it is capable of detecting
inhomogeneity in the hot and dense matter created by heavy ion collisions. We
predict that going from peripheral to central collisions, the charge transfer
fluctuations at midrapidity should decrease substantially while the charge
transfer fluctuations at the edges of the observation window should decrease by
a small amount. These are consequences of having a strongly inhomogeneous
matter where the QGP component is concentrated around midrapidity. We also show
how to constrain the values of the charge correlations lengths in both the
hadronic phase and the QGP phase using the charge transfer fluctuations.
Current manuscript is based on the preprints hep-ph/0503085 (to appear in
Physical Review C) and nucl-th/0506025.Comment: To appear in the proceedings of 18th International Conference on
Ultrarelativistic Nucleus-Nucleus Collisions: Quark Matter 2005 (QM 2005),
Budapest, Hungary, 4-9 Aug 200
Pion Decay Constant at Finite Temperature in the Nonlinear Sigma Model
We calculate the pion decay constant near the critical temperature of the
nonlinear sigma model in the large limit. Making use of the known
low temperature behavior, we construct a Pad\'{e} approximant to obtain the
behavior of at all temperatures.Comment: 8 pages, one latex file and one postscript file (uses psfig).
Uuencode
Leading Order Calculation of Shear Viscosity in Hot Quantum Electrodynamics from Diagrammatic Methods
We compute the shear viscosity at leading order in hot Quantum
Electrodynamics. Starting from the Kubo relation for shear viscosity, we use
diagrammatic methods to write down the appropriate integral equations for
bosonic and fermionic effective vertices. We also show how Ward identities can
be used to put constraints on these integral equations. One of our main results
is an equation relating the kernels of the integral equations with functional
derivatives of the full self-energy; it is similar to what is obtained with
two-particle-irreducible effective action methods. However, since we use Ward
identities as our starting point, gauge invariance is preserved. Using these
constraints obtained from Ward identities and also power counting arguments, we
select the necessary diagrams that must be resummed at leading order. This
includes all non-collinear (corresponding to 2 to 2 scatterings) and collinear
(corresponding to 1+N to 2+N collinear scatterings) rungs responsible for the
Landau-Pomeranchuk-Migdal effect. We also show the equivalence between our
integral equations obtained from quantum field theory and the linearized
Boltzmann equations of Arnold, Moore and Yaffe obtained using effective kinetic
theory.Comment: 45 pages, 22 figures (note that figures 7 and 14 are downgraded in
resolution to keep this submission under 1000kb, zoom to see them correctly
A classical Odderon in QCD at high energies
We show that the weight functional for color sources in the classical theory
of the Color Glass Condensate includes a term which generates Odderon
excitations. Remarkably, the classical origin of these excitations can be
traced to the random walk of partons in the two dimensional space spanned by
the SU(3) Casimirs. This term is naturally suppressed for a large nucleus at
high energies.Comment: 19 pages. No figur
Coherence Time in High Energy Proton-Nucleus Collisions
Precisely measured Drell-Yan cross sections for 800 GeV protons incident on a
variety of nuclear targets exhibit a deviation from linear scaling in the
atomic number A. We show that this deviation can be accounted for by energy
degradation of the proton as it passes through the nucleus if account is taken
of the time delay of particle production due to quantum coherence. We infer an
average proper coherence time of 0.4 +- 0.1 fm/c, corresponding to a coherence
path length of 8 +- 2 fm in the rest frame of the nucleus.Comment: 11 pages in LaTeX. Includes 6 eps figures. Uses epsf.st
Particle yield fluctuations and chemical non-equilibrium at RHIC
We study charge fluctuations within the statistical hadronization model.
Considering both the particle yield ratios and the charge fluctuations we show
that it is possible to differentiate between chemical equilibrium and
non-equilibrium freeze-out conditions. As an example of the procedure we show
quantitatively how the relative yield ratio together with the
normalized net charge fluctuation v(Q)=\ave{\Delta Q^2}/\ave{\Nch} constrain
the chemical conditions at freeze-out. We also discuss the influence of the
limited detector acceptance on fluctuation measurements, and show how this can
be accounted for within a quantitative analysis.Comment: Accepted for publication by Physical Review
Size of Fireballs Created in High Energy Lead-Lead Collisions as Inferred from Coulomb Distortions of Pion Spectra
We compute the Coulomb effects produced by an expanding, highly charged
fireball on the momentum distribution of pions. We compare our results to data
on Au+Au at 11.6 A GeV from E866 at the BNL AGS and to data on Pb+Pb at 158 A
GeV from NA44 at the CERN SPS. We conclude that the distortion of the spectra
at low transverse momentum and mid-rapidity can be explained in both
experiments by the effect of the large amount of participating charge in the
central rapidity region. By adjusting the fireball expansion velocity to match
the average transverse momentum of protons, we find a best fit when the
fireball radius is about 10 fm, as determined by the moment when the pions
undergo their last scattering. This value is common to both the AGS and CERN
experiments.Comment: Enlarged discussion, new references added, includes new analysis of
pi-/pi+ at AGS energies. 12 pages 5 figures, uses LaTex and epsfi
Random walks of partons in SU(N_c) and classical representations of color charges in QCD at small x
The effective action for wee partons in large nuclei includes a sum over
static color sources distributed in a wide range of representations of the
SU(N_c) color group. The problem can be formulated as a random walk of partons
in the N_c-1 dimensional space spanned by the Casimirs of SU(N_c). For a large
number of sources, k >> 1, we show explicitly that the most likely
representation is a classical representation of order O(\sqrt{k}). The quantum
sum over representations is well approximated by a path integral over classical
sources with an exponential weight whose argument is the quadratic Casimir
operator of the group. The contributions of the higher N_c-2 Casimir operators
are suppressed by powers of k. Other applications of the techniques developed
here are discussed briefly.Comment: 51 pages, includes 3 eps file