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Lattice Chern-Simons number without ultraviolet problems

Guy D. Moore

Neil Turok

  • Princeton University, Joseph Henry Laboratories, P.O. Box 708, Princeton, New Jersey 08544

  • DAMTP, Silver Street, Cambridge, CB3 9EW, United Kindom

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Phys. Rev. D 56, 6533 – Published 15 November, 1997

DOI: 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.

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Outline

Information

Phys. Rev. D 56, 6533– Published 15 November, 1997
  • Received 22 April 1997

© 1997 American Physical Society

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