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

Hatanaka, H. and Ohnishi, K. and Sakamoto, M. and Takenaga, K. (2001) Multi-phases in gauge theories of non-simply connected spaces. (Preprint)

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Abstract

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 ⊗ S^1 is studied, and it is shown to possess three phases: Hosotani, Higgs and coexisting phases. The critical radius and the order of the phase transitions are determined explicitly. 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 the dynamical problem of the stabilization of the radius of a compactified space in the vicinity of a critical radius.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jul 2018 14:27
Last Modified: 15 Dec 2022 20:36
URI: https://dair.dias.ie/id/eprint/599

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