One-loop Corrections to Scalar and Tensor Perturbations during Inflation in Stochastic Gravity

Abstract

Based on the stochastic gravity, we study the loop corrections to the scalar and tensor perturbations during inflation. Since the loop corrections to scalar perturbations suffer infrared (IR) divergence, we consider the IR regularization to obtain the finite value. We find that the loop corrections to the scalar perturbations are amplified by the e-folding; in other words there appear the logarithmic correction, just as discussed by M.Sloth et al. On the other hand, we find that the tensor perturbations do not suffer from infrared divergence.

17pages, 2figures, typos corrected, to appear in PRD

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• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
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• Primordial Density Perturbations and Reheating from Gravity
• Strong restriction on inflationary vacua from the local gauge invariance III: Infrared regularity of graviton loops
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Infrared Logarithms in Minisuperspace Inflation