Properties of the Boltzmann equation in the classical approximation

Epelbaum, Thomas; Gelis, François; Tanji, Naoto; Wu, Bin

doi:10.1103/PhysRevD.90.125032

Title: Properties of the Boltzmann equation in the classical approximation

Journal Article · Tue Dec 30 00:00:00 EST 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.90.125032· OSTI ID:1188218

Epelbaum, Thomas ^[1]; Gelis, François ^[1]; Tanji, Naoto ^[2]; Wu, Bin ^[1]

Institut de Physique Theorique, Gif-sur-Yvette Cedex (France)
RIKEN, Wako (Japan); Brookhaven National Lab., Upton, NY (United States)

We examine 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 problem, this allows one to study the effect of the ultraviolet cutoff in these approximations. This cutoff dependence in the classical approximations of the Boltzmann equation is closely related to the non-renormalizability of the classical statistical approximation of the underlying quantum field theory. The kinetic theory setup that we consider here allows one to study in a much simpler way the dependence on the ultraviolet cutoff, since one has also access to the non-approximated result for comparison.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC00112704

OSTI ID:: 1188218

Report Number(s):: BNL-107804-2015-JA; PRVDAQ; KB0301020

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 12; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Cited By (2)

Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime Bazow, D.; Denicol, G. S.; Heinz, U. Physical Review D, Vol. 94, Issue 12 https://doi.org/10.1103/physrevd.94.125006	journal	December 2016
Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime Bazow, D.; Denicol, G. S.; Heinz, U. arXiv https://doi.org/10.48550/arxiv.1607.05245	text	January 2016

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