2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge
High Energy Physics - Theory
2009-11-11 v2
Abstract
Semiclassical instanton solutions in the 3D SU(2) Georgi-Glashow model are transformed into the Weyl gauge. This illustrates the tunneling interpretation of these instantons and provides a smooth regularization of the singular unitary gauge. The 3D Georgi-Glashow model has both instanton and sphaleron solutions, in contrast to 3D Yang-Mills theory which has neither, and 4D Yang-Mills theory which has instantons but no sphaleron, and 4D electroweak theory which has a sphaleron but no instantons. We also discuss the spectral flow picture of fundamental fermions in a Georgi-Glashow instanton background.
Cite
@article{arxiv.hep-th/0504046,
title = {2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge},
author = {Gerald V. Dunne and Vishesh Khemani},
journal= {arXiv preprint arXiv:hep-th/0504046},
year = {2009}
}
Comments
22 pages, 8 figures, revtex4; v2 - references and comments added