skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2]
  1. Research Center for the Early Universe, Graduate School of Science, The University of Tokyo, Tokyo 113-0033 (Japan)
  2. Department of Physics and Astrophysics, Nagoya University, Aichi 464-8602 (Japan)

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.

OSTI ID:
22277790
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
Country of Publication:
United States
Language:
English

Similar Records

Shape of high order correlation functions in CMB anisotropy maps
Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields · OSTI ID:22277790

Angular trispectrum of CMB temperature anisotropy from primordial non-Gaussianity with the full radiation transfer function
Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields · OSTI ID:22277790

Planck 2015 results: XVII. Constraints on primordial non-Gaussianity
Journal Article · Tue Sep 20 00:00:00 EDT 2016 · Astronomy and Astrophysics · OSTI ID:22277790