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.
Cite
@article{arxiv.1211.1342,
title = {Representing the Vacuum Polarization on de Sitter},
author = {Katie E. Leonard and T. Prokopec and R. P. Woodard},
journal= {arXiv preprint arXiv:1211.1342},
year = {2013}
}
Comments
16 pages, no figures, uses LaTeX 2e