# Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation

Bödeker D (2002) *NUCLEAR PHYSICS B* 647(3): 512-538.

Download

**No fulltext has been uploaded. References only!**

*Journal Article*|

*Original Article*|

*Published*|

*English*

No fulltext has been uploaded

Author

Department

Abstract

We study the Boltzmann-Langevin equation which describes the dynamics of hot Yang-Mills fields with typical momenta of order of the magnetic screening scale g(2)T. It is transformed into a path integral and Feynman rules are obtained. We find that the leading log Langevin equation can be systematically improved in a well behaved expansion in log(1/g)(-1). The result by Arnold and Yaffe that the leading log Langevin equation is still valid at next-to-leading-log order is confirmed. We also confirm their result for the next-to-leading-log damping coefficient, or color conductivity, which is shown to be gauge fixing independent for a certain class of gauges. The frequency scale g(2)T does not contribute to this result, but it does contribute, by power counting, to the transverse gauge field propagator. Going beyond a perturbative expansion we find 1-loop ultraviolet divergences which cannot be removed by renormalizing the parameters in the Boltzmann-Langevin equation. (C) 2002 Published by Elsevier Science B.V.

Publishing Year

ISSN

PUB-ID

### Cite this

Bödeker D. Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation.

*NUCLEAR PHYSICS B*. 2002;647(3):512-538.Bödeker, D. (2002). Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation.

*NUCLEAR PHYSICS B*,*647*(3), 512-538. doi:10.1016/S0550-3213(02)00841-6Bödeker, D. (2002). Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation.

*NUCLEAR PHYSICS B*647, 512-538.Bödeker, D., 2002. Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation.

*NUCLEAR PHYSICS B*, 647(3), p 512-538. D. Bödeker, “Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation”,

*NUCLEAR PHYSICS B*, vol. 647, 2002, pp. 512-538. Bödeker, D.: Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation. NUCLEAR PHYSICS B. 647, 512-538 (2002).

Bödeker, Dietrich. “Perturbative and non-perturbative aspects non-Abelian Boltzmann-Langevin equation”.

*NUCLEAR PHYSICS B*647.3 (2002): 512-538.
This data publication is cited in the following publications:

This publication cites the following data publications:

### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

arXiv hep-ph/0205202

Inspire 587023