2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge

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.

22 pages, 8 figures, revtex4; v2 - references and comments added

References in corpus (3)

• Monopole-Antimonopole Chains and Vortex Rings
• Critical Temperature of the Deconfining Phase Transition in (2+1)d Georgi-Glashow Model
• A finite temperature investigation of the Georgi-Glashow model in 3D