Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

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

Yuko Urakawa, Kei-ichi Maeda

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.

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.

Paper Structure

This paper contains 18 sections, 90 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Stochastic gravity
  3. Generic feature from the vertex operators
  4. Perturbation of Einstein-Langevin equation
  5. Scalar perturbations
  6. Tensor perturbations
  7. Noise kernel
  8. Propagator
  9. Scalar perturbations
  10. Tensor perturbations
  11. Loop corrections to the Correlation functions
  12. Scalar perturbations
  13. Tensor perturbations
  14. Discussions
  15. Computations of the Noise kernel
  16. ...and 3 more sections

Figures (2)

  • Figure 1: Vertices
  • Figure 2: Feynman diagrams.