2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge

Details 2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge 2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge

2005-04-05

arxiv.org/abs/hep-th/0504046v2

J.Phys. A38 (2005) 7577-7594

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/38/34/011

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.

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