Adiabatic renormalization of inflationary perturbations

Ruth Durrer, Giovanni Marozzi, and Massimiliano Rinaldi
Phys. Rev. D 80, 065024 – Published 23 September 2009

Abstract

We discuss the impact of adiabatic renormalization on the power spectrum of scalar and tensor perturbations from inflation. We show that adiabatic regularization is ambiguous as it leads to very different results, for different adiabatic subtraction schemes, both in the range vk/(aH)0.1 and in the infrared regime. All of these schemes agree in the far ultraviolet, v1. Therefore, we argue that in the far infrared regime, v1, the adiabatic expansion is no longer valid, and the unrenormalized spectra are the physical, measurable quantities. These findings cast some doubt on the validity of the adiabatic subtraction at horizon exit, v=1, to determine the perturbation spectra from inflation which has recently been advocated in the literature.

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  • Received 26 June 2009

DOI:https://doi.org/10.1103/PhysRevD.80.065024

©2009 American Physical Society

Authors & Affiliations

Ruth Durrer1,*, Giovanni Marozzi2,†, and Massimiliano Rinaldi1,‡

  • 1Université de Genève, Départment de Physique Théorique, 24 quai Ernest Ansermet Switzerland–1211 Genève 4, Switzerland
  • 2Dipartimento di Fisica dell’Universitá di Bologna and Istituto Nazionale Fisica Nucleare, Via Irnerio, 46, 40126 Bologna, Italy

  • *ruth.durrer@unige.ch
  • marozzi@bo.infn.it
  • massimiliano.rinaldi@unige.ch

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Issue

Vol. 80, Iss. 6 — 15 September 2009

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