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We study the thermal and curvature effect to spontaneous symmetry breaking inphi^4 theory. The effective potential is evaluated in D-dimensional staticuniverse 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 symmetrybreaking, while negative curvature enhances it. To consider the back-reactionwe numerically solve the gap equation and the Einstein equation simultaneously.The solution gives the relationship between the temperature and the scalefactor.Comment: 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 ad

Thermal and curvature effects on spontaneous symmetry breaking in phi4theory

Thermal and curvature effects on spontaneous symmetry breaking in phi⁴theory