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

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.

arXiv comment4 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

References in corpus (3)

• Back-reaction of Quantum fields in an Einstein Universe
• Two-loop effective potential in quantum field theory in curved space-time
• Finite-temperature scalar fields and the cosmological constant in an Einstein universe