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On the Physical Significance of Infra-red Corrections to Inflationary Observables

N. Bartolo, S. Matarrese, M. Pietroni, A. Riotto, D. Seery

Abstract

Inflationary observables, like the power spectrum, computed at one- and higher-order loop level seem to be plagued by large infra-red corrections. In this short note, we point out that these large infra-red corrections appear only in quantities which are not directly observable. This is in agreement with general expectations concerning infra-red effects.

On the Physical Significance of Infra-red Corrections to Inflationary Observables

Abstract

Inflationary observables, like the power spectrum, computed at one- and higher-order loop level seem to be plagued by large infra-red corrections. In this short note, we point out that these large infra-red corrections appear only in quantities which are not directly observable. This is in agreement with general expectations concerning infra-red effects.

Paper Structure

This paper contains 1 section, 28 equations, 5 figures.

Figures (5)

  • Figure 1: The appropriate time contour $C$.
  • Figure 2: The cubic vertices with the proper signs $+$ and $-$.
  • Figure 3: The diagram contributing to the one-loop two-point correlation function. To each vertex the signs $+$ and $-$ should be attached to each vertex according to the correlator one wishes to compute.
  • Figure 4: The diagrams contributing to the two-loop two-point correlation function. To each vertex the signs $+$ and $-$ should be attached to each vertex according to the correlator one wishes to compute.
  • Figure 5: The RG equation for the two-point correlation function.