Relating U(1) monopole configurations to SU(2) saddle-point configurations

Details Relating U(1) monopole configurations to SU(2) saddle-point configurations Relating U(1) monopole configurations to SU(2) saddle-point configurations

1996-10-17

arxiv.org/abs/hep-lat/9610025v1

Nucl.Phys.Proc.Suppl. 53 (1997) 500-502

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 2 figures, to appear in Nucl.Phys.B (Lattice '96 Proceedings)

Scientific paper

We have studied field configurations of the 3-dimensional Georgi-Glashow model which interpolate between the $U(1)$ and the $SU(2)$ limits. In the intermediate region, these configurations contain 't-Hooft--Polyakov monopoles. We use cooling and extremization to find these configurations and investigate their evolution as we adiabatically move towards the $U(1)$ and the $SU(2)$ limits. We also evolve an $SU(2)$ saddle point solution towards the $U(1)$ limit to see the relation between the unstable solutions in the $SU(2)$ theory and the stable ones in the $U(1)$ theory.

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