18 research outputs found
Isospin Fluctuations from a Thermally Equilibrated Hadron Gas
Partition functions, multiplicity distributions, and isospin fluctuations are
calculated for canonical ensembles in which additive quantum numbers as well as
total isospin are strictly conserved. When properly accounting for
Bose-Einstein symmetrization, the multiplicity distributions of neutral pions
in a pion gas are significantly broader as compared to the non-degenerate case.
Inclusion of resonances compensates for this broadening effect. Recursion
relations are derived which allow calculation of exact results with modest
computer time.Comment: 10 pages, 5 figure
Transport equation for the photon Wigner operator in non-commutative QED
We derive an exact quantum equation of motion for the photon Wigner operator
in non-commutative QED, which is gauge covariant. In the classical
approximation, this reduces to a simple transport equation which describes the
hard thermal effects in this theory. As an example of the effectiveness of this
method we show that, to leading order, this equation generates in a direct way
the Green amplitudes calculated perturbatively in quantum field theory at high
temperature.Comment: 13 pages, twocolumn revtex4 styl
Parametric phenomena of the particle dynamics in a periodic gravitational wave field
We establish exactly solvable models for the motion of neutral particles,
electrically charged point and spin particles (U(1) symmetry), isospin
particles (SU(2) symmetry), and particles with color charges (SU(3) symmetry)
in a gravitational wave background. Special attention is devoted to parametric
effects induced by the gravitational field. In particular, we discuss
parametric instabilities of the particle motion and parametric oscillations of
the vectors of spin, isospin, and color charge.Comment: 26 pages, to be published in J. Math. Phy
Chromodynamic Weibel instabilities in relativistic nuclear collisions
Employing 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 nuclear collisions. Numerical solutions of the
dispersion equation for a number of scenarios relevant to RHIC and LHC suggest
that modes with (predominantly transverse) wave numbers of several hundred MeV
may become moderately agitated during the early collision stage. The emergence
of filamentation helps to speed up the equilibration of the parton plasma and
it may lead to non-statistical azimuthal patterns in the hadron final state.Comment: 11 pages, RevTex, 13 (e)ps files (revised for PRC
Partition Functions in Statistical Mechanics, Symmetric Functions, and Group Representations
Partition functions for non-interacting particles are known to be symmetric
functions. It is shown that powerful group-theoretical techniques can be used
not only to derive these relationships, but also to significantly simplify
calculation of the partition functions for particles that carry internal
quantum numbers. The partition function is shown to be a sum of one or more
group characters. The utility of character expansions in calculating the
partition functions is explored. Several examples are given to illustrate these
techniques.Comment: 16 pages of RevTe
Local equilibrium of the quark-gluon plasma
Within kinetic theory, we look for local equilibrium configurations of the
quark-gluon plasma by maximizing the local entropy. We use the well-established
transport equations in the Vlasov limit, supplemented with the Waldmann-Snider
collision terms. Two different classes of local equilibrium solutions are
found. The first one corresponds to the configurations that comply with the
so-called collisional invariants. The second one is given by the distribution
functions that cancel the collision terms, representing the most probable
binary interactions with soft gluon exchange in the t-channel. The two sets of
solutions agree with each other if we go beyond these dominant processes and
take into account subleading quark-antiquark annihilation/creation and gluon
number non-conserving processes. The local equilibrium state appears to be
colorful, as the color charges are not locally neutralized. Properties of such
an equilibrium state are analyzed. In particular, the related hydrodynamic
equations of a colorful fluid are derived. Possible neutralization processes
are also briefly discussed.Comment: 20 pages; minor changes, to be published in Phys. Rev.
A remark on non-Abelian classical kinetic theory
It is known that non-Abelian classical kinetic theory reproduces the Hard
Thermal/Dense Loop (HTL/HDL) effective action of QCD, obtained after
integrating out the hardest momentum scales from the system, as well as the
first higher dimensional operator beyond the HTL/HDL level. We discuss here its
applicability at still higher orders, by comparing the exact classical
effective action obtained in the static limit, with the 1-loop quantum
effective potential. We remark that while correct types of operators arise, the
classical colour algebra reproduces correctly the prefactor of the 4-point
function only for matter in asymptotically high dimensional colour
representations.Comment: 6 page
In-medium relativistic kinetic theory and nucleon-meson systems
Within the model of coupled nucleon-meson systems, a
generalized relativistic Lenard--Balescu--equation is presented resulting from
a relativistic random phase approximation (RRPA). This provides a systematic
derivation of relativistic transport equations in the frame of nonequilibrium
Green's function technique including medium effects as well as flucuation
effects. It contains all possible processes due to one meson exchange and
special attention is kept to the off--shell character of the particles. As a
new feature of many particle effects, processes are possible which can be
interpreted as particle creation and annihilation due to in-medium one meson
exchange. In-medium cross sections are obtained from the generalized derivation
of collision integrals, which possess complete crossing symmetries.Comment: See nucl-th/9310032 for revised version which the authors
incompetently resubmitted rather than correctly replacing thi
The Legacy of Rolf Hagedorn: Statistical Bootstrap and Ultimate Temperature
In the latter half of the last century, it became evident that there exists
an ever increasing number of different states of the so-called elementary
particles. The usual reductionist approach to this problem was to search for a
simpler infrastructure, culminating in the formulation of the quark model and
quantum chromodynamics. In a complementary, completely novel approach, Hagedorn
suggested that the mass distribution of the produced particles follows a
self-similar composition pattern, predicting an unbounded number of states of
increasing mass. He then concluded that such a growth would lead to a limiting
temperature for strongly interacting matter. We discuss the conceptual basis
for this approach, its relation to critical behavior, and its subsequent
applications in different areas of high energy physics.Comment: 25 pages, 5 figures; to appear in R. Hagedorn and J. Rafelski (Ed.),
"Melting Hadrons, Boiling Quarks", Springer Verlag 201
Semiclassical force for electroweak baryogenesis: three-dimensional derivation
We derive a semiclassical transport equation for fermions propagating in the
presence of a CP-violating planar bubble wall at a first order electroweak
phase transition. Starting from the Kadanoff-Baym (KB) equation for the
two-point (Wightman) function we perform an expansion in gradients, or
equivalently in the Planck constant h-bar. We show that to first order in h-bar
the KB equations have a spectral solution, which allows for an on-shell
description of the plasma excitations. The CP-violating force acting on these
excitations is found to be enhanced by a boost factor in comparison with the
1+1-dimensional case studied in a former paper. We find that an identical
semiclassical force can be obtained by the WKB method. Applications to the MSSM
are also mentioned.Comment: 19 page