Lattice Chern-Simons Number Without Ultraviolet Problems

Preprint

12 May 1997

preprint
Published by arXiv in arXiv

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 4-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

ULTRAVIOLET PROBLEMS
CHERN SIMONS NUMBER
TOPOLOGICAL METHOD
SIMONS NUMBER
LATTICE CHERN
EVOLUTION

All Related Versions

Version 1, 1997-03-07, ArXiv
Version 2, 1997-05-12, ArXiv
Version 3, 1997-07-31, ArXiv
Published version: Physical Review D, 56 (10), 6533.

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