Effective field theory approach to quasi-single field inflation and effects of heavy fields

Abstract

We apply the effective field theory approach to quasi-single field inflation, which contains an additional scalar field with Hubble scale mass other than inflaton. Based on the time-dependent spatial diffeomorphism, which is not broken by the time-dependent background evolution, the most generic action of quasi-single field inflation is constructed up to third order fluctuations. Using the obtained action, the effects of the additional massive scalar field on the primordial curvature perturbations are discussed. In particular, we calculate the power spectrum and discuss the momentum-dependence of three point functions in the squeezed limit for general settings of quasi-single field inflation. Our framework can be also applied to inflation models with heavy particles. We make a qualitative discussion on the effects of heavy particles during inflation and that of sudden turning trajectory in our framework.

35 pages, 4 figures; v2: minor corrections and improvements, figures 1 and 2 replaced, references added; v3: major revision, published version. Calculations of the power spectrum were revised, figures 1 and 2 are replaced, discussions on integrating out heavy fields are expanded

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• Primordial non-Gaussianities in general modified gravitational models of inflation
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