Lattice Chern-Simons Number Without Ultraviolet Problems
High Energy Physics - Phenomenology
2014-11-17 v3 High Energy Physics - Lattice
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.
Cite
@article{arxiv.hep-ph/9703266,
title = {Lattice Chern-Simons Number Without Ultraviolet Problems},
author = {Guy D. Moore and Neil G. Turok},
journal= {arXiv preprint arXiv:hep-ph/9703266},
year = {2014}
}
Comments
26 pages including 6 figures, uses psfig. Corrected for an algebra error in the original draft of hep-lat/9610013; minor rewriting and more analysis