Zeta function regularization in de Sitter space: the Minkowski limit

Details Zeta function regularization in de Sitter space: the Minkowski limit Zeta function regularization in de Sitter space: the Minkowski limit

1996-09-09

arxiv.org/abs/hep-th/9609072v2

J.Math.Phys. 38 (1997) 4771-4782

Physics

High Energy Physics

High Energy Physics - Theory

TeX, 14 pages, a reference added

Scientific paper

10.1063/1.532122

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 $\zeta'( 0 )$ have the appropriate Minkowski limits.

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