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

Title: A simple method for one-loop renormalization in curved space-time

Abstract

We present a simple method for deriving the renormalization counterterms from the components of the energy-momentum tensor in curved space-time. This method allows control over the finite parts of the counterterms and provides explicit expressions for each term separately. As an example, the method is used for the self-interacting scalar field in a Friedmann-Robertson-Walker metric in the adiabatic approximation, where we calculate the renormalized equation of motion for the field and the renormalized components of the energy-momentum tensor to fourth adiabatic order while including interactions to one-loop order. Within this formalism the trace anomaly, including contributions from interactions, is shown to have a simple derivation. We compare our results to those obtained by two standard methods, finding agreement with the Schwinger-DeWitt expansion but disagreement with adiabatic subtractions for interacting theories.

Authors:
 [1];  [2]
  1. Helsinki Institute of Physics and Department of Physics, P.O. Box 64, FI-00014, University of Helsinki (Finland)
  2. Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen (Denmark)
Publication Date:
OSTI Identifier:
22282737
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2013; Journal Issue: 08; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ADIABATIC APPROXIMATION; COMPARATIVE EVALUATIONS; COSMOLOGICAL MODELS; COSMOLOGY; ENERGY-MOMENTUM TENSOR; EQUATIONS OF MOTION; EXPANSION; METRICS; RENORMALIZATION; SCALAR FIELDS; SPACE-TIME

Citation Formats

Markkanen, Tommi, and Tranberg, Anders. A simple method for one-loop renormalization in curved space-time. United States: N. p., 2013. Web. doi:10.1088/1475-7516/2013/08/045.
Markkanen, Tommi, & Tranberg, Anders. A simple method for one-loop renormalization in curved space-time. United States. https://doi.org/10.1088/1475-7516/2013/08/045
Markkanen, Tommi, and Tranberg, Anders. 2013. "A simple method for one-loop renormalization in curved space-time". United States. https://doi.org/10.1088/1475-7516/2013/08/045.
@article{osti_22282737,
title = {A simple method for one-loop renormalization in curved space-time},
author = {Markkanen, Tommi and Tranberg, Anders},
abstractNote = {We present a simple method for deriving the renormalization counterterms from the components of the energy-momentum tensor in curved space-time. This method allows control over the finite parts of the counterterms and provides explicit expressions for each term separately. As an example, the method is used for the self-interacting scalar field in a Friedmann-Robertson-Walker metric in the adiabatic approximation, where we calculate the renormalized equation of motion for the field and the renormalized components of the energy-momentum tensor to fourth adiabatic order while including interactions to one-loop order. Within this formalism the trace anomaly, including contributions from interactions, is shown to have a simple derivation. We compare our results to those obtained by two standard methods, finding agreement with the Schwinger-DeWitt expansion but disagreement with adiabatic subtractions for interacting theories.},
doi = {10.1088/1475-7516/2013/08/045},
url = {https://www.osti.gov/biblio/22282737}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 08,
volume = 2013,
place = {United States},
year = {Thu Aug 01 00:00:00 EDT 2013},
month = {Thu Aug 01 00:00:00 EDT 2013}
}