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Title: Scale-invariant curvature fluctuations from an extended semiclassical gravity

We present an extension of the semiclassical Einstein equations which couple n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate the quantum fluctuations during an inflationary period, where we take as a model a massive conformally coupled scalar field on a perturbed de Sitter space and describe how a renormalization independent, almost-scale-invariant power spectrum of the scalar metric perturbation is produced. Furthermore, we discuss how this model yields a natural basis for the calculation of non-Gaussianities of the considered metric fluctuations.
Authors:
 [1] ;  [2] ;  [1]
  1. Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova (Italy)
  2. (Italy)
Publication Date:
OSTI Identifier:
22403107
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; DE SITTER SPACE; EINSTEIN FIELD EQUATIONS; FLUCTUATIONS; GRAVITATION; METRICS; PERTURBATION THEORY; RENORMALIZATION; SCALAR FIELDS; SCALARS; SEMICLASSICAL APPROXIMATION; STOCHASTIC PROCESSES; TENSORS