One-loop divergences in theories with an arbitrary nonminimal operator in curved space
type: Item
instance of: scholarly article
title: One-loop divergences in theories with an arbitrary nonminimal operator in curved space
zbMATH Open document ID: 0918.53032
DOI: 10.1007/BF02630454
author: P. I. Pronin
author: K. V. Stepan'yants
published in: Theoretical and Mathematical Physics
publication date: 1999-08-10T00:00:00Z
review text: The explicit expression for the one-loop effective action in the theory with an arbitary differential operator is developed. It is shown how to calculate the divergent part of the effective action with the help of the Feynman diagram technique. The results for flat space are repeated and generalized to the case of a Riemannian manifold, with regard to which all possible diagrams for both cases are considered. In the general case, a weak field approximation is used for minimal and nonminimal operators. Finally, the covariant results are obtained from the weak field approximation. Some particular cases are discussed.
reviewed by: Thoralf Chrobok
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 81T18
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 1262917
zbMATH Keywords: one-loop divergences
zbMATH Keywords: quantum gravity
zbMATH Keywords: weak field approximation
zbMATH Keywords: Feynman diagrams
describes a project that uses: REDUCE
MaRDI profile type: Publication
cites work: On Gauge Invariance and Vacuum Polarization
cites work: One-loop effective action for an arbitrary theory
cites work: One-loop counter-terms in theories regularized by higher covariant derivatives
cites work: Renormalizable asymptotically free quantum theory of gravity
description: scientific article; zbMATH DE number 1262917