摘要: 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 Coleman-Weinberg spontaneous symmetry breaking mechanism massless scalar electrodynamics. The effective potential is calculated Landau gauge. It depends upon curvature, and renormalised value ζ (in ζRφ 2 ). phase transition will be first or second order, critical curvature mass are found. methods can applied gauge theory.