Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2011/06/021
Keywords
inflation; cosmological perturbation theory
Funding
- German Research Foundation (DFG) within the Transregional Collaborative Research Centre, The Dark Universe [TR33]
- STFC [ST/H005498/1]
- Studienstiftung des Deutschen Volkes
- STFC [ST/H005498/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/H005498/1] Funding Source: researchfish
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Inflationary correlation functions are potentially affected by infrared divergences. For example, the two-point correlator of curvature perturbation at momentum k receives corrections similar to In(kL), where L is the size of the region in which the measurement is performed. We define infrared-safe correlation functions which have no sensitivity to the size L of the box used for the observation. The conventional correlators with their familiar log-enhanced corrections (both from scalar and tensor long-wavelength modes) are easily recovered from our IR-safe correlation functions. Among other examples, we illustrate this by calculating the corrections to the non-Gaussianity parameter f(NL) coming from long-wavelength tensor modes. In our approach, the IR corrections automatically emerge in a resummed, all-orders form. For the scalar corrections, the resulting all-orders expression can be evaluated explicitly.
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