Asymptotic behaviors of the heat kernel in covariant perturbation theory
May 9, 1994
22 pages
Published in:
- J.Math.Phys. 35 (1994) 3543-3559
e-Print:
- gr-qc/9404063 [gr-qc]
DOI:
Report number:
- ALBERTA-THY-45-93
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Abstract: (arXiv)
The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of 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.Note:
- 22 pages, REVTeX, Alberta Thy 45-93
- gravitation
- Wheeler-DeWitt equation
- perturbation theory
- regularization: heat kernel
- asymptotic behavior
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