Infrared propagator corrections for constant deceleration

2008/08/18 by Theo M. V. Janssen, T. M. Janssen, S. P. Miao +3 · 2 citations
Engineering · Physics and Astronomy · #Adaptive optics and wavefront sensing #Optical Wireless Communication Technologies #Radio Wave Propagation Studies #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/25/24/245013

published as Class.Quant.Grav.25:245013,2008 · 34 pages, uses LaTeX 2 epsilon

arxiv created 2008/08/18 · openalex publication_date 2008/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Graviton one-loop effective action and inflationary dynamics
• The Quantum-Corrected Fermion Mode Function during Inflation
• Quantum Fields in Curved Space

Cited by

• Loop corrections to cosmological perturbations in multi-field inflationary models
• The Hubble effective potential