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

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