CHERN-SIMONS TERM IN THE 4-DIMENSIONAL SU(2) HIGGS MODEL

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 term. From this definition we have checked the periodic structure. We determined the Chern-Simons density for lattices L⁴ and L³×2, 4 with L=4, 6, and 8 near the critical region in the SU(2) Higgs model. The data indicate that tunneling is increased at high temperature.