4.6 Article

The separate universe approach to soft limits

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2016/10/035

Keywords

inflation; non-gaussianity; physics of the early universe

Funding

  1. STFC [ST/M001202/1] Funding Source: UKRI
  2. Science and Technology Facilities Council [1359392] Funding Source: researchfish

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We develop a formalism for calculating soft limits of n-point inflationary correlation functions using separate universe techniques. Our method naturally allows for multiple fields and leads to an elegant diagrammatic approach. As an application we focus on the trispectrum produced by inflation with multiple light fields, giving explicit formulae for all possible single- and double-soft limits. We also investigate consistency relations and present an in finite tower of inequalities between soft correlation functions which generalise the Suyama-Yamaguchi inequality.

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