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Title: Feynman-like rules for calculating n-point correlators of the primordial curvature perturbation

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1]; ;  [2]
  1. Departamento de Física, Universidad del Valle, Ciudad Universitaria Meléndez, Santiago de Cali 760032 (Colombia)
  2. Centro de Investigaciones, Universidad Antonio Nariño, Cra 3 Este 47A — 15, Bogotá D.C. 110231 (Colombia)

A diagrammatic approach to calculate n-point correlators of the primordial curvature perturbation ζ was developed a few years ago following the spirit of the Feynman rules in Quantum Field Theory. The methodology is very useful and time-saving, as it is for the case of the Feynman rules in the particle physics context, but, unfortunately, is not very well known by the cosmology community. In the present work, we extend such an approach in order to include not only scalar field perturbations as the generators of ζ, but also vector field perturbations. The purpose is twofold: first, we would like the diagrammatic approach (which we would call the Feynman-like rules) to become widespread among the cosmology community; second, we intend to give an easy tool to formulate any correlator of ζ for those cases that involve vector field perturbations and that, therefore, may generate prolonged stages of anisotropic expansion and/or important levels of statistical anisotropy. Indeed, the usual way of formulating such correlators, using the Wick's theorem, may become very clutter and time-consuming.

OSTI ID:
22280231
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
Country of Publication:
United States
Language:
English