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Zeta function regularization in de Sitter space: the Minkowski limit

Alan Chodos·Andras Kaiser
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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 $ζ( 0 )$ and $ζ'( 0 )$ have the appropriate Minkowski limits.

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Alan Chodos, Andras Kaiser. 1996-09-11. Zeta function regularization in de Sitter space: the Minkowski limit. https://doi.org/10.1063/1.532122

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