Conformal properties of the heat-kernel expansion. Application to the effective Lagrangian
- 15 February 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 39 (4) , 1235-1238
- https://doi.org/10.1103/physrevd.39.1235
Abstract
Conformal properties of the Minakshisundaram coefficients are developed. As an example of their use we discuss the equivalence of the dimensional and ζ-function regularization treatments of the conformal anomaly and the one-loop effective action for scalar fields.Keywords
This publication has 13 references indexed in Scilit:
- High-temperature expansion of the free energy of a massive scalar field in a curved spacePhysical Review D, 1988
- Effective actions and conformal transformationsPhysical Review D, 1985
- A non-local action for the trace anomalyPhysics Letters B, 1984
- Symmetric Hadamard seriesJournal of Mathematical Physics, 1984
- Quantum Fields in Curved SpacePublished by Cambridge University Press (CUP) ,1982
- Finite temperature and boundary effects in static space-timesJournal of Physics A: General Physics, 1978
- Stress-tensor conformal anomaly for scalar, spinor, and vector fieldsPhysical Review D, 1977
- Observations on conformal anomaliesNuclear Physics B, 1977
- Effective Lagrangian and energy-momentum tensor in de Sitter spacePhysical Review D, 1976
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian ManifoldsCanadian Journal of Mathematics, 1949