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arXiv · hep-ph/0601154

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

T. Hattori·M. Hayashi·T. Inagaki·Y. Kitadono
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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.

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T. Hattori, M. Hayashi, T. Inagaki, Y. Kitadono. 2006-01-19. Thermal and Curvature Effects to Spontaneous Symmetry Breaking in phi^4 Theory. https://doi.org/10.1088/0305-4470%2F39%2F21%2Fs39

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