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Title: One loop back reaction on power law inflation

Abstract

We consider quantum-mechanical corrections to a homogeneous, isotropic, and spatially flat geometry whose scale factor expands classically as a general power of the comoving time. The effects of both gravitons and the scalar inflaton are computed at one loop using the manifestly causal formalism of Schwinger [J. Math. Phys. {bold 2}, 407 (1961); {ital Particles, Sources and Fields} (Addison, Wesley, Reading, MA, 1970)] with the Feynman rules recently developed by Iliopoulos {ital et al.} [Nucl. Phys. B {bold 534}, 419 (1998)]. We find no significant effect, in marked contrast to the result obtained by Mukhanov and co-workers [Phys. Rev. Lett. {bold 78}, 1624 (1998); Phys. Rev. D {bold 56}, 3248 (1997)] for chaotic inflation based on a quadratic potential. By applying the canonical technique of Mukhanov and co-workers to the exponential potentials of power law inflation, we show that the two methods produce the same results, within the approximations employed, for these backgrounds. We therefore conclude that the shape of the inflaton potential can have an enormous impact on the one loop back reaction. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
;  [1]
  1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
Publication Date:
OSTI Identifier:
357345
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D; Journal Volume: 60; Journal Issue: 4; Other Information: PBD: Aug 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; COSMOLOGY; INFLATIONARY UNIVERSE; GRAVITONS; QUANTIZATION; POTENTIAL ENERGY; FEYNMAN DIAGRAM; METRICS

Citation Formats

Abramo, L.R., and Woodard, R.P. One loop back reaction on power law inflation. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.044011.
Abramo, L.R., & Woodard, R.P. One loop back reaction on power law inflation. United States. doi:10.1103/PhysRevD.60.044011.
Abramo, L.R., and Woodard, R.P. Sun . "One loop back reaction on power law inflation". United States. doi:10.1103/PhysRevD.60.044011.
@article{osti_357345,
title = {One loop back reaction on power law inflation},
author = {Abramo, L.R. and Woodard, R.P.},
abstractNote = {We consider quantum-mechanical corrections to a homogeneous, isotropic, and spatially flat geometry whose scale factor expands classically as a general power of the comoving time. The effects of both gravitons and the scalar inflaton are computed at one loop using the manifestly causal formalism of Schwinger [J. Math. Phys. {bold 2}, 407 (1961); {ital Particles, Sources and Fields} (Addison, Wesley, Reading, MA, 1970)] with the Feynman rules recently developed by Iliopoulos {ital et al.} [Nucl. Phys. B {bold 534}, 419 (1998)]. We find no significant effect, in marked contrast to the result obtained by Mukhanov and co-workers [Phys. Rev. Lett. {bold 78}, 1624 (1998); Phys. Rev. D {bold 56}, 3248 (1997)] for chaotic inflation based on a quadratic potential. By applying the canonical technique of Mukhanov and co-workers to the exponential potentials of power law inflation, we show that the two methods produce the same results, within the approximations employed, for these backgrounds. We therefore conclude that the shape of the inflaton potential can have an enormous impact on the one loop back reaction. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.60.044011},
journal = {Physical Review, D},
number = 4,
volume = 60,
place = {United States},
year = {Sun Aug 01 00:00:00 EDT 1999},
month = {Sun Aug 01 00:00:00 EDT 1999}
}