Three and four point functions of stress energy tensors in D = 3 for the analysis of cosmological non-gaussianities

Claudio Corianò, Luigi Delle Rose, Mirko Serino

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We compute the correlation functions of 3 and 4 stress energy tensors (T) in D = 3 in free field theories of scalars, abelian gauge fields, and fermions, which are relevant in the analysis of cosmological non-gaussianities. These correlators appear in the holographic expressions of the scalar and tensor perturbations derived for holographic cosmological models. The result is simply adapted to describe the leading contributions in the gauge coupling to the same correlators also for a non abelian SU(N) gauge theory. In the case of the bispectrum, our results are mapped and shown to be in full agreement with the corresponding expressions given in a recent holographic study by Bzowski, McFadden and Skenderis. In the 4-T case we present the completely traced amplitude plus all the contact terms. These are expected to appear in a fourth order extension of the holographic formulas for the 4-point functions of scalar metric perturbations.

Original languageEnglish
Article number90
JournalJournal of High Energy Physics
Volume2012
Issue number12
DOIs
StatePublished - 1 Jan 2012
Externally publishedYes

Keywords

  • Cosmology of Theories beyond the SM
  • Field Theories in Lower Dimensions
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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