Diagrams for heat kernel expansions

Details Diagrams for heat kernel expansions Diagrams for heat kernel expansions

2001-01-31

arxiv.org/abs/gr-qc/0101125v1

Class.Quant.Grav. 16 (1999) 2611-2624

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 4 figures, ReVTeX

Scientific paper

10.1088/0264-9381/16/8/304

A diagramatic heat kernel expansion technique is presented. The method is especially well suited to the small-derivative expansion of the heat kernel, but it can also be used to reproduce the results obtained by the approach known as covariant perturbation theory. The new technique gives an expansion for the heat kernel at coincident points. It can also be used to obtain the derivative of the heat kernel and this is useful for evaluating the expectation values of the stress-energy tensor.

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