A relationship between scalar Green functions on hyperbolic and Euclidean Rindler spaces

Details A relationship between scalar Green functions on hyperbolic and Euclidean Rindler spaces A relationship between scalar Green functions on hyperbolic and Euclidean Rindler spaces

2007-03-22

arxiv.org/abs/hep-th/0703199v2

J.Phys.A40:8535-8544,2007

Physics

High Energy Physics

High Energy Physics - Theory

more on analytic continuation,references added, the version to appear in Journ.Phys.A

Scientific paper

10.1088/1751-8113/40/29/023

We derive a formula connecting in any dimension the Green function on the D+1 dimensional Euclidean Rindler space and the one for a minimally coupled scalar field with a mass m in the D dimensional hyperbolic space. The relation takes a simple form in the momentum space where the Green functions are equal at the momenta (p_0,\bf p) for Rindler and (m,\bf p) for hyperbolic space with a simple additive relation between the squares of the mass and the momenta. The formula has applications to finite temperature Green functions, Green functions on the cone and on the 9compactified) Milne space-time. Analytic continuations and interacting quantum fields are briefly discussed.

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