The U.V. Price for Symmetry Non-Restoration

Details The U.V. Price for Symmetry Non-Restoration The U.V. Price for Symmetry Non-Restoration

1996-11-22

arxiv.org/abs/hep-ph/9611398v2

Phys.Lett. B403 (1997) 309-315

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figs. Changes: added a discussion on trilinear couplings in section 2 to meet referee's question

Scientific paper

10.1016/S0370-2693(97)00552-2

We study the non restoration of symmetries with a local order parameter in field theory at finite temperature. After giving an interpretation of the phenomenon, we show that hierarchy problems are a necessary condition for its realization in renormalizable theories. We then use a large N treatment, and find that high temperature symmetry can stay broken in this limit (in opposition with a previous result), and further that the running of couplings reinforces the effect in the simplest model with two scalars.

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