Chern-Simons term in the 4-dimensional SU(2) Higgs model

Abstract

Using a variation of Lueschers geometric charge definition for SU(2) lattice gauge theory, we have managed to give a geometric expression for it's Chern-Simons ter. From this definition we have checked the periodic structure. we determined the Chern-Simons density for symmetric and asymmetric lattices near the critical region in the SU(2) Higgs model. The data indicate that tunneling is increased at high temperature.

Comments: 11 pages, 3 ps files,(two missing sorry)