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arxiv: hep-th/0504046 · v2 · submitted 2005-04-05 · ✦ hep-th

2+1 Dimensional Georgi-Glashow Instantons in Weyl Gauge

classification ✦ hep-th
keywords georgi-glashowinstantonsgaugeinstantonsphalerontheorymodelsolutions
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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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