Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory

Details Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory

2006-01-19

arxiv.org/abs/hep-ph/0601154v1

J.Phys. A39 (2006) 6441-6444

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages. To appear in the proceedings of 7th Workshop on Quantum Field Theory Under the Influence of External Conditions (QFEX

Scientific paper

10.1088/0305-4470/39/21/S39

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.

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