Chern-Simons term in the 4-dimensional SU(2) Higgs model
F.Karsch, M.L.Laursen, T.Neuhaus, B.Plache, U.-J.Wiese
TL;DR
This paper develops a geometric expression for the Chern-Simons term in the 4D SU(2) Higgs model using lattice gauge theory, analyzing its behavior near critical regions and at high temperature.
Contribution
It introduces a geometric formulation of the Chern-Simons term for SU(2) lattice gauge theory and examines its properties in the Higgs model.
Findings
Periodic structure of the Chern-Simons term confirmed.
Chern-Simons density computed near critical regions.
Tunneling increases at high temperature.
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.
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