Diagrammatic approach to non-Gaussianity from inflation

Details Diagrammatic approach to non-Gaussianity from inflation Diagrammatic approach to non-Gaussianity from inflation

2007-05-29

arxiv.org/abs/0705.4096v3

JCAP 0711:027,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 13 figures. v2: Comments and references added, v3: Introduction expanded, subsection on evaluating loop diagrams add

Scientific paper

10.1088/1475-7516/2007/11/027

We present Feynman type diagrams for calculating the n-point function of the primordial curvature perturbation in terms of scalar field perturbations during inflation. The diagrams can be used to evaluate the corresponding terms in the n-point function at tree level or any required loop level. Rules are presented for drawing the diagrams and writing down the corresponding terms in real space and Fourier space. We show that vertices can be renormalised to automatically account for diagrams with dressed vertices. We apply these rules to calculate the primordial power spectrum up to two loops, the bispectrum including loop corrections, and the trispectrum.

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