Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-08-18
Class.Quant.Grav.25:245013,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
34 pages, uses LaTeX 2 epsilon
Scientific paper
10.1088/0264-9381/25/24/245013
We derive the propagator for a massless, minimally coupled scalar on a $D$-dimensional, spatially flat, homogeneous and isotropic background with arbitrary constant deceleration parameter. Our construction uses the operator formalism, by integrating the Fourier mode sum. We give special attention to infrared corrections from the nonzero lower limit associated with working on finite spatial sections. These corrections eliminate infrared divergences that would otherwise be incorrectly treated by dimensional regularization, resulting in off-coincidence divergences for those special values of the deceleration parameter at which the infrared divergence is logarithmic. As an application we compute the expectation value of the scalar stress-energy tensor.
Janssen T. M.
Miao Shun-Pei
Prokopec Tomislav
Woodard Richard P.
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