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.
| Original language | English |
|---|---|
| Article number | 245013 |
| Journal | Classical and Quantum Gravity |
| Volume | 25 |
| Issue number | 24 |
| DOIs | |
| Publication status | Published - 2008 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
Cite this
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Infrared propagator corrections for constant deceleration. / Janssen, T. M.; Miao, Shun-Pei; Prokopec, T.; Woodard, R. P.
In: Classical and Quantum Gravity, Vol. 25, No. 24, 245013, 01.12.2008.Research output: Contribution to journal › Article
TY - JOUR
T1 - Infrared propagator corrections for constant deceleration
AU - Janssen, T. M.
AU - Miao, Shun-Pei
AU - Prokopec, T.
AU - Woodard, R. P.
PY - 2008/12/1
Y1 - 2008/12/1
N2 - 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.
AB - 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.
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U2 - 10.1088/0264-9381/25/24/245013
DO - 10.1088/0264-9381/25/24/245013
M3 - Article
VL - 25
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 24
M1 - 245013
ER -