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.
Physics Letters B
- Pub Date:
- February 1997
- High Energy Physics - Phenomenology
- 11 pages, 2 figs. Changes: added a discussion on trilinear couplings in section 2 to meet referee's question