Note on the pragmatic mode-sum regularization method: Translational-splitting in a cosmological background

Pau Beltrán-Palau, Adrián del Río, Sergi Nadal-Gisbert, and José Navarro-Salas
Phys. Rev. D 103, 105002 – Published 4 May 2021

Abstract

The point-splitting renormalization method offers a prescription to calculate finite expectation values of quadratic operators constructed from quantum fields in a general curved spacetime. It has been recently shown by Levi and Ori that when the background metric possesses an isometry, like stationary or spherically symmetric black holes, the method can be upgraded into a pragmatic procedure of renormalization that produces efficient numerical calculations. In this paper we show that when the background enjoys three-dimensional spatial symmetries, like homogeneous expanding universes, the above pragmatic regularization technique reduces to the well-established adiabatic regularization method.

  • Received 2 April 2021
  • Accepted 7 April 2021

DOI:https://doi.org/10.1103/PhysRevD.103.105002

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Pau Beltrán-Palau1,*, Adrián del Río2,†, Sergi Nadal-Gisbert1,‡, and José Navarro-Salas1,§

  • 1Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de Fisica, Universidad de Valencia, Burjassot-46100, Valencia, Spain
  • 2Institute for Gravitation and the Cosmos & Physics Department, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • *pau.beltran@uv.es
  • axd570@psu.edu
  • sergi.nadal@uv.es
  • §jnavarro@ific.uv.es

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Issue

Vol. 103, Iss. 10 — 15 May 2021

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