IR divergence does not affect the gauge-invariant curvature perturbation

Details IR divergence does not affect the gauge-invariant curvature perturbation IR divergence does not affect the gauge-invariant curvature perturbation

2010-07-03

arxiv.org/abs/1007.0468v2

Phys.Rev.D82:121301,2010

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, one reference added

Scientific paper

10.1103/PhysRevD.82.121301

We address the infrared(IR) divergence problem during inflation that appears in the loop corrections to the primordial perturbations. In our previous paper, we claimed that, at least in single field models, the IR divergence is originating from the gauge artifact. Namely, diverging IR corrections should not appear in genuine gauge-invariant observables. We propose here one simple but explicit example of such gauge-invariant quantities. Then, we explicitly calculate such a quantity to find that the IR divergence is absent at the leading order in the slow-roll approximation for the usual scale invariant vacuum state. At the same time we notice that there is a subtle issue on the gauge-invariance in how to specify the initial vacuum state.

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