Based on the stochastic gravity, we study the loop corrections to the scalarand tensor perturbations during inflation. Since the loop corrections to scalarperturbations suffer the infrared(IR) divergence, we consider the IR regular-ization to obtain the finite value. We find that the loop correction is amplifiedby the e-folding, in other words there appears the logarithmic corrections, justas discussed by M.Sloth et.al. On the other hand, we find that the tensorperturbations do not suffer from the infrared divergence.
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