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

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

1992-09-30

arxiv.org/abs/hep-lat/9209027v1

Nucl.Phys.Proc.Suppl. 30 (1993) 715-718

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages plus 4 PS figures

Scientific paper

10.1016/0920-5632(93)90309-T

Using Seiberg's definition for the geometric charge in SU(2) lattice gauge theory, we have managed to apply it also to the Chern-Simons term. We checked the periodic structure and determined the Chern-Simons density on small lattices $L^4$ and $L^3 \times 2,\, 4$ with $L=4,\, 6,\mbox{ and }8$ near the critical region in the SU(2) Higgs model. The data indicate that tunneling is increased at high temperature.

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