Multi-phases in gauge theories on non-simply connected spaces

Details Multi-phases in gauge theories on non-simply connected spaces Multi-phases in gauge theories on non-simply connected spaces

2001-11-21

arxiv.org/abs/hep-th/0111183v4

Prog.Theor.Phys. 107 (2002) 1191-1200

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure

Scientific paper

10.1143/PTP.107.1191

It is pointed out that phase structures of gauge theories compactified on non-simply connected spaces are not trivial. As a demonstration, an SU(2) gauge model on $M^3\otimes S^1$ is studied and is shown to possess three phases: Hosotani, Higgs and coexisting phases. The critical radius and the order of the phase transitions are explicitly determined. A general discussion about phase structures for small and large scales of compactified spaces is given. The appearance of phase transitions suggests a GUT scenario in which the gauge hierarchy problem is replaced by a dynamical problem of how to stabilize a radius of a compactified space in close vicinity to a critical radius.

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