A relationship between scalar Green functions on hyperbolic and Euclidean Rindler spaces
arXiv:hep-th/0703199 · doi:10.1088/1751-8113/40/29/023
Abstract
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.
more on analytic continuation,references added, the version to appear in Journ.Phys.A
References in corpus (17)
- Large N Field Theories, String Theory and Gravity
- From Big Crunch to Big Bang
- Massless Minimally Coupled Fields in De Sitter Space: O(4)-Symmetric States Versus De Sitter Invariant Vacuum
- Vacua, Propagators, and Holographic Probes in AdS/CFT
- Free and self-interacting scalar fields in the presence of conical singularities
- Quantum Fields in a Big Crunch/Big Bang Spacetime
- Massive quantum fields in a conical background
- Towards a General Theory of Quantized Fields on the Anti-de Sitter Space-Time
- Hyperbolic Spaces in String and M-Theory
- Quantum aspects of self-interacting fields around cosmic strings
- Quantum Field Theory on Curved Backgrounds, I. The Euclidean Functional Integral
- Markov quantum fields on a manifold
- Thermal Wightman Functions and Renormalized Stress Tensors in the Rindler Wedge
- Cosmological string models from Milne spaces and SL(2,Z) orbifold
- Wightman Functions' Behaviour on the Event Horizon of an Extremal Reissner-Nordström Black Hole
- Orbifold Compactification and Solutions of M--Theory from Milne Spaces
- Euclidean scalar and spinor Green's functions in Rindler space