Asymptotic behaviours of the heat kernel in covariant perturbation theory

Details Asymptotic behaviours of the heat kernel in covariant perturbation theory Asymptotic behaviours of the heat kernel in covariant perturbation theory

1994-04-29

arxiv.org/abs/gr-qc/9404063v1

J.Math.Phys. 35 (1994) 3543-3559

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, REVTeX, Alberta Thy 45-93

Scientific paper

10.1063/1.530428

The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of $N$th 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 behaviours of the trace of the heat kernel are presented with this accuracy. The late-time behaviour 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.

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