Effective dynamics of soft non-abelian gauge fields at finite temperature

Details Effective dynamics of soft non-abelian gauge fields at finite temperature Effective dynamics of soft non-abelian gauge fields at finite temperature

1998-01-29

arxiv.org/abs/hep-ph/9801430v2

Phys.Lett. B426 (1998) 351-360

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 15 pages, 3 postscript figures, uses epsf.sty; title shortened, some typos corrected, one reference changed, one refere

Scientific paper

10.1016/S0370-2693(98)00279-2

We consider time dependent correlation functions of non-abelian gauge fields at finite temperature. An effective theory for the soft ($p\sim g^2 T$) field modes is derived by integrating out the field modes with momenta of order $T$ and of order $g T$ in a leading logarithmic approximation. In this effective theory the time evolution of the soft fields is determined by a local Langevin-type equation. As an application, the rate for hot electroweak baryon number violation is estimated as $\Gamma \sim g^2 \log(1/g) (g^2 T)^4$. Furthermore, possible consequences for non-perturbative lattice computations of unequal time correlation functions are discussed.

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