Lattice Chern-Simons number without ultraviolet problems
- 15 November 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 56 (10) , 6533-6546
- https://doi.org/10.1103/physrevd.56.6533
Abstract
We develop a topological method of measuring Chern-Simons number change in the real time evolution of classical lattice SU(2) and SU(2) Higgs theory. We find that the Chern-Simons number diffusion rate per physical four-volume is very heavily suppressed in the broken phase, and that it decreases with lattice spacing in pure Yang-Mills theory, although not as quickly as predicted by Arnold, Son, and Yaffe.Keywords
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