The UV price for symmetry non-restoration
Abstract
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.
- Publication:
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Physics Letters B
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0370-2693(97)00552-2
- arXiv:
- arXiv:hep-ph/9611398
- Bibcode:
- 1997PhLB..403..309O
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 11 pages, 2 figs. Changes: added a discussion on trilinear couplings in section 2 to meet referee's question