An effective theory for hot non-Abelian dynamics
Abstract
Description
I try to explain some recent progress in understanding the non-perturbative dynamics of hot non-Abelian gauge theories. The non-perturbative physics is due to soft spatial momenta $|\vec{p}|\sim g^2 T$ where $g$ is the gauge coupling and $T$ is the temperature. An effective theory for the soft field modes is obtained 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. This effective theory determines the parametric form of the rate for hot electroweak baryon number violation as $Γ= κg^{10} \log(1/g) T^4$. The non-perturbative coefficient $κ$ is independent of the gauge coupling and it can be computed by solving the effective equations of motion on a lattice.
10 pages, revtex, Talk presented at the 5th International Workshop on Thermal Field Theories and their Applications, Regensburg, Germany, August 1998
10 pages, revtex, Talk presented at the 5th International Workshop on Thermal Field Theories and their Applications, Regensburg, Germany, August 1998