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Related papers: A Boltzmann Equation for the QCD Plasma

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We derive quantum Boltzmann equations from Schwinger-Dyson equations in gradient expansion for a weakly coupled scalar field theory with a spatially varying mass. We find that at higher order in gradients a full description of the system…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

We discuss some aspects of a recently proposed semi-classical transport theory for QCD plasmas based on coloured point particles. This includes the derivation of effective transport equations for mean fields and fluctuations which relies on…

High Energy Physics - Phenomenology · Physics 2017-08-23 Daniel F. Litim

We review the derivation of the Boltzmann equation and its cosmological applications in this paper. The derivation of the Boltzmann equation, especially the collision term, is discussed in detail in the language of the quantum field theory…

High Energy Physics - Phenomenology · Physics 2023-03-02 Seishi Enomoto , Yu-Hang Su , Man-Zhu Zheng , Hong-Hao Zhang

We derive approximate iterative analytical solutions of the non-extensive Boltzmann transport equation in the relaxation time approximation. The approximate solutions almost overlap with the exact solution for a considerably wide range of…

Nuclear Theory · Physics 2023-06-27 Trambak Bhattacharyya

Within the framework of the semiclassical approximation, we derive the Boltzmann equation describing the dynamics of colorless plasmons in a hot QCD plasma. The probability of the plasmon-plasmon scattering at the leading order in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. A. Markov , M. A. Markova

We 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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Cristina Manuel , Stanislaw Mrowczynski

A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions…

Analysis of PDEs · Mathematics 2017-11-29 Karsten Matthies , George Stone , Florian Theil

The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start from the standard Boltzmann equation, averaging over frequencies leads to appearance of fractional derivative. This fact is in accordance…

Plasma Physics · Physics 2010-08-27 Vladimir V. Uchaikin , Renat T. Sibatov

We report on a work in progress, whose goal is a systematic field theoretical derivation of the quantum transport equations for baryon production in the electroweak plasma at a first order phase transition in the limit of slowly varying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

We derive equations for the time evolution of the reduced density matrix of a collection of heavy quarks and antiquarks immersed in a quark gluon plasma. These equations, in their original form, rely on two approximations: the weak coupling…

High Energy Physics - Phenomenology · Physics 2018-07-04 Jean-Paul Blaizot , Miguel Angel Escobedo

A linear Boltzmann equation with nonautonomous collision operator is rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics of a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions with…

Analysis of PDEs · Mathematics 2019-04-24 Karsten Matthies , George Stone

We use an expansion in angular mode functions in order to solve the Boltzmann equation for a gluon plasma undergoing longitudinal expansion. By comparing with the exact solution obtained numerically by other means we show that the expansion…

High Energy Physics - Phenomenology · Physics 2019-09-11 Jean-Paul Blaizot , Naoto Tanji

We derive the quantum kinetic equation for a pure gluon plasma, applying the background field and closed-time-path method. The derivation is more general and transparent than earlier works. A term in the equation is found which, as in the…

Nuclear Theory · Physics 2008-11-26 Q. Wang , K. Redlich , H. Stöcker , W. Greiner

This talk is a status report on our study of quantum transport equations relevant for baryogenesis computations. Our main finding is that, as a consequence of localization in space, the quasiparticle picture of the plasma dynamics breaks…

High Energy Physics - Phenomenology · Physics 2016-11-03 Michael Joyce , Kimmo Kainulainen , Tomislav Prokopec

We use a careful treatment of time-dependent wave-mechanical scattering to determine the conditions under which a dilute, non-degenerate quantum gas can obey a Boltzmann equation. If the gas possesses weak long-range coherence, such as may…

Quantum Gases · Physics 2019-05-08 L. Rico-Pérez , J. R. Anglin

It has been shown that the high-temperature limit of perturbative thermal QCD is easily obtained from the Boltzmann transport equation for `classical' coloured particles. We generalize this treatment to curved space-time. We are thus able…

High Energy Physics - Theory · Physics 2009-10-28 F. T. Brandt , J. Frenkel , J. C. Taylor

Electric conductivity is sensitive to effective cross sections among the particles of the partonic medium. We investigate the electric conductivity of a hot plasma of quarks and gluons, solving the relativistic Boltzmann equation. In order…

Nuclear Theory · Physics 2014-11-18 Moritz Greif , Ioannis Bouras , Zhe Xu , Carsten Greiner

Quite a many electron transport problems in condensed matter physics are analyzed with a quasiparticle Boltzmann equation. For sufficiently slowly varying weak external potentials it can be derived from the basic equations of quantum…

Materials Science · Physics 2024-01-12 F. X. Bronold , F. Willert

We formulate the relativistic dissipative hydrodynamics of a system of quasi-particles from the Boltzmann equation within the ambit of relaxation time approximation with modified collision kernels. We focus on two specific scenarios with…

High Energy Physics - Phenomenology · Physics 2025-04-17 Arghya Mukherjee , Samapan Bhadury , Pracheta Singha

Grad's method is used on the linearized Boltzmann collision operator to derive the most general expressions for the collision coefficients for a multi-component, multi-temperature plasma up to rank-2. In doing so, the collision coefficients…

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