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Related papers: A Boltzmann Equation for the QCD Plasma

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We study gradient corrections to the transport equation for energetic light partons in dense QCD environments. In the diffusion limit, the transport dynamics is solely controlled by small-angle elastic scatterings, leading to transverse…

High Energy Physics - Phenomenology · Physics 2023-03-29 João Barata , Andrey V. Sadofyev , Xin-Nian Wang

We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation. This result holds for arbitrarily long times. The method of…

Analysis of PDEs · Mathematics 2022-01-13 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

Recent open quantum system studies showed that quarkonium time evolution inside the quark-gluon plasma is determined by transport coefficients that are defined in terms of a gauge invariant correlator of two chromoelectric field operators…

High Energy Physics - Phenomenology · Physics 2024-10-22 Bruno Scheihing-Hitschfeld , Xiaojun Yao

Collective orders and photo-induced phase transitions in quantum matter can evolve on timescales which are orders of magnitude slower than the femtosecond processes related to electronic motion in the solid. Quantum Boltzmann equations can…

Strongly Correlated Electrons · Physics 2021-08-11 Antonio Picano , Jiajun Li , Martin Eckstein

In this paper, we analyze in a mathematically rigorous fashion the validity of the Boltzmann transport equation within quantum field theory. We work within the specific model of a hermitian, scalar field with polynomial self-interaction in…

Statistical Mechanics · Physics 2010-03-09 Stefan Hollands , Gregor Leiler

Formulas for transverse conductance and dielectric permeability in quantum degenerate collisional plasma with arbitrary variable collision frequency in Mermin's approach are deduced. Frequency of collisions of particles depends arbitrarily…

Plasma Physics · Physics 2013-02-15 A. V. Latyshev , A. A. Yushkanov

Using the general framework of quantum field theory, we derive basic equations of quantum field kinetics. The main goal of this approach is to compute the observables associated with a quark-gluon plasma at different stages of its…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Makhlin

We show from first principles the emergence of classical Boltzmann equations from relativistic nonequilibrium quantum field theory as described by the Kadanoff-Baym equations. Our method applies to a generic quantum field, coupled to a…

High Energy Physics - Phenomenology · Physics 2012-12-20 Marco Drewes , Sebastian Mendizabal , Christoph Weniger

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. F. Kelly , Q. Liu , C. Lucchesi , C. Manuel

The evolution of the gluon plasma produced with saturation initial conditions is calculated via Boltzmann transport theory for nuclear collisions at high energy. The saturation scale increases with the nuclear size and the beam energy, and…

High Energy Physics - Phenomenology · Physics 2009-10-09 Adrian Dumitru , Miklos Gyulassy

On the basis of pure gauge sector of Blaizot-Iancu equation, we derive kinetic equation of Boltzmann type, taking into account 2n+2-colorless plasmon decay processes, n=1,2,.... Using so-called Tsytovich correspondence principle, a direct…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yu. A. Markov , M. A. Markova

We use the extended relaxation time approximation for the collision kernel, which incorporates a particle-energy dependent relaxation time, to derive second-order viscous hydrodynamics from the Boltzmann equation for a system of massless…

Nuclear Theory · Physics 2023-12-29 Dipika Dash , Sunil Jaiswal , Samapan Bhadury , Amaresh Jaiswal

To calculate the baryon asymmetry in the baryogenesis via leptogenesis scenario one usually uses Boltzmann equations with transition amplitudes computed in vacuum. However, the hot and dense medium and, potentially, the expansion of the…

High Energy Physics - Phenomenology · Physics 2010-04-30 A. Hohenegger , A. Kartavtsev , M. Lindner

This article investigates the collisionless Boltzmann equation up to second order in the cosmological perturbations. It describes the gauge dependence of the distribution function and the construction of a gauge invariant distribution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cyril Pitrou

We develop a covariant density matrix approach to kinetic theory of QED plasmas subjected into a strong external electromagnetic field. A canonical quantization of the system on space-like hyperplanes in Minkowski space and a covariant…

Plasma Physics · Physics 2007-05-23 A. Hoell , V. G. Morozov , G. Roepke

Recently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full…

Quantum Physics · Physics 2007-09-24 Heinz-Peter Breuer , Bassano Vacchini

Thermalization in an expanding parton plasma is studied within the framework of Boltzmann equation in the absence of any mean fields. In particular, we study the time-dependence of the relaxation time to the lowest order in finite…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Heiselberg , Xin-Nian Wang

We present a new dual representation for lattice QCD in terms of wordlines and worldsheets. The exact reformulation is carried out using the recently developed abelian color flux method where the action is decomposed into commuting minimal…

High Energy Physics - Lattice · Physics 2018-02-21 Carlotta Marchis , Christof Gattringer

After discussing results of dilepton rates and electrical conductivity obtained from continuum extrapolated results of light quark correlation functions in quenched QCD I will give a review on recent developments in lattice QCD studies for…

High Energy Physics - Lattice · Physics 2012-08-21 O. Kaczmarek

We study the Boltzmann equation with elastic point-like scalar interactions in two different versions of the the classical approximation. Although solving numerically the Boltzmann equation with the unapproximated collision term poses no…

High Energy Physics - Phenomenology · Physics 2015-01-07 Thomas Epelbaum , Francois Gelis , Naoto Tanji , Bin Wu