Zeta function regularization in de Sitter space: The Minkowski limit

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532122· OSTI ID:664450

Chodos, A; Kaiser, A ^[1]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120 (United States)

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 space{endash}time. 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}{sup {prime}}(0) have the appropriate Minkowski limits. {copyright} {ital 1997 American Institute of Physics.}

• DOE Contract Number: AC02-76ER03075
• OSTI ID: 664450
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DEFORMATION
INTEGRALS
MINKOWSKI SPACE
POTENTIALS
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
SYMMETRY BREAKING