English

The Boltzmann Equation in Classical Yang-Mills Theory

High Energy Physics - Phenomenology 2014-05-13 v2 High Energy Physics - Theory

Abstract

We give a detailed derivation of the Boltzmann equation, and in particular its collision integral, in classical field theory. We first carry this out in a scalar theory with both cubic and quartic interactions and subsequently in a Yang-Mills theory. Our method is not relied on a doubling of the fields, rather it is based on a diagrammatic approach representing the classical solution to the problem.

Keywords

Cite

@article{arxiv.1403.1184,
  title  = {The Boltzmann Equation in Classical Yang-Mills Theory},
  author = {V. Mathieu and A. H. Mueller and D. N. Triantafyllopoulos},
  journal= {arXiv preprint arXiv:1403.1184},
  year   = {2014}
}

Comments

24 pages, 7 figures; v2: typos corrected, reference added, published in Eur. Phys. J. C

R2 v1 2026-06-22T03:20:51.379Z