4.6 Article

Extension of local-type inequality for the higher order correlation functions

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2011/07/033

Keywords

non-gaussianity; physics of the early universe; cosmological perturbation theory

Funding

  1. JSPS [1008477]
  2. Ministry of Education, Science, Sports, and Culture, Japan [22340056]
  3. MEXT, Japan
  4. Grants-in-Aid for Scientific Research [10J08477] Funding Source: KAKEN

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For the local-type primordial perturbation, it is known that there is an inequality between the bispectrum and the trispectrum. By using the diagrammatic method, we develop a general formalism to systematically construct the similar inequalities up to any order correlation function. As an application, we explicitly derive all the inequalities up to six and eight-point functions

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