Asymptotic behaviors of the heat kernel in covariant perturbation theory
- 1 July 1994
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (7) , 3543-3559
- https://doi.org/10.1063/1.530428
Abstract
The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of nth order. The coefficients of this expansion (the nonlocal form factors) are calculated to third order in the curvature inclusive. The early‐time and late‐time asymptotic behaviors of the trace of the heat kernel are presented with this accuracy. The late‐time behavior gives the criterion of analyticity of the effective action in quantum field theory. The latter point is exemplified by deriving the effective action in two dimensions.Keywords
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This publication has 35 references indexed in Scilit:
- The model-independent approach to quantum gravity: implications of asymptotic flatnessPhysics Letters B, 1993
- On the nonlocal effective action at finite temperaturePhysics Letters B, 1992
- Covariant algorithms for 1-loop radiation currents in gauge theories and quantum gravityClassical and Quantum Gravity, 1992
- Nonlocal heat kernel with separated pointsPhysics Letters B, 1991
- Gauge invariant asymptotic expansion of schrödinger propagators on manifoldsAnnals of Physics, 1990
- The covariant technique for the calculation of the heat kernel asymptotic expansionPhysics Letters B, 1990
- The generalized Schwinger-Dewitt technique in gauge theories and quantum gravityPhysics Reports, 1985
- Spherically symmetric collapse in quantum gravityPhysics Letters B, 1981
- -body Green's functions and their semiclassical expansionPhysical Review A, 1981
- Infrared instability of the vacuum state of gauge theories and asymptotic freedomPhysics Letters B, 1977