Infrared Propagator Corrections for Constant Deceleration

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.

34 pages, uses LaTeX 2 epsilon

References in corpus (5)

• Two loop stress-energy tensor for inflationary scalar electrodynamics
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• The Quantum-Corrected Fermion Mode Function during Inflation
• Graviton one-loop effective action and inflationary dynamics

Cited by in corpus (1)

• A Simplified Quantum Gravitational Model of Inflation