Equivalence of Adiabatic and DeWitt-Schwinger renormalization schemes
Articles
Overview
published in
- PHYSICAL REVIEW D Journal
publication date
- March 2015
start page
- 1
end page
- 22
issue
- 6
volume
- 91
Digital Object Identifier (DOI)
full text
International Standard Serial Number (ISSN)
- 2470-0010
Electronic International Standard Serial Number (EISSN)
- 2470-0029
abstract
- We prove that adiabatic regularization and DeWitt-Schwinger point-splitting provide the same result when renormalizing expectation values of the stress-energy tensor for spin-1/2 fields. This generalizes the equivalence found for scalar fields, which is here recovered in a different way. We also argue that the coincidence limit of the DeWitt-Schwinger proper time expansion of the two-point function agrees exactly with the analogous expansion defined by the adiabatic regularization method at any order (for both scalar and spin-1/2 fields). We also illustrate the power of the adiabatic method to compute higher order DeWitt coefficients in Friedmann-LemaƮtre-Robertson-Walker Universes.
Classification
subjects
- Mathematics
- Physics
keywords
- dewitt-schwinger; adiabatic regularization