High-temperature behavior of the Chern-Simons diffusion rate in the 1 + 1 dimensional abelian Higgs model Original Research Article

We give arguments that in the 1+1-dimensional abelian Higgs model the classical approximation can be good for the leading high-temperature behavior of real-time processes. The Chern-Simons diffusion rate (‘sphaleron rate’) is studied numerically in this approximation. New results at high-temperature show a T23 behavior of the rate at sufficiently small lattice spacing.