Symmetry Breaking In Twisted Eguchi-Kawai Models

Details Symmetry Breaking In Twisted Eguchi-Kawai Models Symmetry Breaking In Twisted Eguchi-Kawai Models

2006-12-11

arxiv.org/abs/hep-th/0612097v1

Phys.Lett.B652:359-369,2007

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 11 figures

Scientific paper

10.1016/j.physletb.2007.06.037

We present numerical evidence for the spontaneous breaking of the centre symmetry of four-dimensional twisted Eguchi-Kawai models with SU(N) gauge group and symmetric twist, for sufficiently large N. We find that for N greater or equal than 100 this occurs for a wide range of bare couplings. Moreover for N less or equal than 144, where we have been able to perform detailed calculations, there is no window of couplings where the physically interesting confined and deconfined phases appear in the reduced model. We provide a possible interpretation for this in terms of generalised 'fluxon' configurations. We discuss the implications of our findings for the validity and utility of space-time reduced models as N goes to infinity.

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