Phase transitions in De Sitter space |
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Authors: | B Allen |
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Institution: | 1. University of Cambridge, Department of Applied Mathematics Cambridge, UK;2. Theoretical Physics, Silver St., Cambridge CB3 9EW, England |
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Abstract: | This paper uses zeta-function regularisation to calculate the one-loop functional determinants for fields of any spin in De Sitter space. As an example, we investigate the Coleman-Weinberg spontaneous symmetry breaking mechanism in massless scalar electrodynamics. The effective potential is calculated in Landau gauge. It depends upon the curvature, and upon the renormalised value of ζ (inζRφ2). The phase transition will be first or second order, and the critical curvature and mass are found. The methods can be applied to any gauge theory. |
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