Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory
High Energy Physics - Phenomenology
2009-11-11 v1
Abstract
We study the thermal and curvature effect to spontaneous symmetry breaking in phi^4 theory. The effective potential is evaluated in D-dimensional static universe with positive curvature R X S^{D-1} or negative curvature R X H^{D-1}. It is shown that temperature and positive curvature suppress the symmetry breaking, while negative curvature enhances it. To consider the back-reaction we numerically solve the gap equation and the Einstein equation simultaneously. The solution gives the relationship between the temperature and the scale factor.
Keywords
Cite
@article{arxiv.hep-ph/0601154,
title = {Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory},
author = {T. Hattori and M. Hayashi and T. Inagaki and Y. Kitadono},
journal= {arXiv preprint arXiv:hep-ph/0601154},
year = {2009}
}
Comments
4 pages. To appear in the proceedings of 7th Workshop on Quantum Field Theory Under the Influence of External Conditions (QFEXT 05), Barcelona, Catalonia, Spain, 5-9 Sep 2005. References are add