English

Infrared Propagator Corrections for Constant Deceleration

General Relativity and Quantum Cosmology 2008-12-18 v1 Astrophysics High Energy Physics - Theory

Abstract

We derive the propagator for a massless, minimally coupled scalar on a DD-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.

Cite

@article{arxiv.0808.2449,
  title  = {Infrared Propagator Corrections for Constant Deceleration},
  author = {T. M. Janssen and S. P. Miao and T. Prokopec and R. P. Woodard},
  journal= {arXiv preprint arXiv:0808.2449},
  year   = {2008}
}

Comments

34 pages, uses LaTeX 2 epsilon

R2 v1 2026-06-21T11:11:32.963Z