Thermal and curvature effects on spontaneous symmetry breaking in phi4theory

DOI10.1088/0305-4470/39/21/S39zbMATH Open1098.81805arXivhep-ph/0601154OpenAlexW2131827148MaRDI QIDQ5478507

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Publication date: 13 July 2006

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.

Full work available at URL: https://arxiv.org/abs/hep-ph/0601154

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Symmetry breaking in quantum theory (81R40)

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