Zeta function regularization in de Sitter space: the Minkowski limit

Abstract

We study an integral representation for the zeta function of the one-loop effective potential for a minimally coupled massive scalar field in D-dimensional de Sitter spacetime. By deforming the contour of integration we present it in a form suitable for letting the de Sitter radius tend to infinity, and we demonstrate explicitly for the case D=2 that the quantities $\zeta (0)$ and ${\zeta }^{\prime }(0)$ have the appropriate Minkowski limits.

arXiv commentTeX, 14 pages, a reference added

References in corpus (1)

• Symmetry Breaking in the Static Coordinate System of de Sitter Spacetime