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

Title: Representing the vacuum polarization on de Sitter

Abstract

Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is also a cumbersome, covariant representation in which the physics is obscure. Despite being unwieldy, the latter form has a powerful appeal for those who are concerned about de Sitter invariance. We show that nothing is lost by employing the simple, noncovariant representation because there is a closed form procedure for converting its structure functions to those of the covariant representation. We also present a vastly improved technique for reading off the noncovariant structure functions from the primitive diagrams. And we discuss the issue of representing the vacuum polarization for a general metric background.

Authors:
;  [1];  [2]
  1. Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
  2. Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)
Publication Date:
OSTI Identifier:
22162821
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 54; Journal Issue: 3; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPEALS; COSMOLOGY; DE SITTER GROUP; DE SITTER SPACE; ELEMENTARY PARTICLES; METRICS; QUANTUM ELECTRODYNAMICS; STRUCTURE FUNCTIONS; VACUUM POLARIZATION

Citation Formats

Leonard, Katie E., Woodard, Richard P., and Prokopec, Tomislav. Representing the vacuum polarization on de Sitter. United States: N. p., 2013. Web. doi:10.1063/1.4793987.
Leonard, Katie E., Woodard, Richard P., & Prokopec, Tomislav. Representing the vacuum polarization on de Sitter. United States. https://doi.org/10.1063/1.4793987
Leonard, Katie E., Woodard, Richard P., and Prokopec, Tomislav. 2013. "Representing the vacuum polarization on de Sitter". United States. https://doi.org/10.1063/1.4793987.
@article{osti_22162821,
title = {Representing the vacuum polarization on de Sitter},
author = {Leonard, Katie E. and Woodard, Richard P. and Prokopec, Tomislav},
abstractNote = {Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is also a cumbersome, covariant representation in which the physics is obscure. Despite being unwieldy, the latter form has a powerful appeal for those who are concerned about de Sitter invariance. We show that nothing is lost by employing the simple, noncovariant representation because there is a closed form procedure for converting its structure functions to those of the covariant representation. We also present a vastly improved technique for reading off the noncovariant structure functions from the primitive diagrams. And we discuss the issue of representing the vacuum polarization for a general metric background.},
doi = {10.1063/1.4793987},
url = {https://www.osti.gov/biblio/22162821}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 3,
volume = 54,
place = {United States},
year = {Fri Mar 15 00:00:00 EDT 2013},
month = {Fri Mar 15 00:00:00 EDT 2013}
}