Covariant perturbation theory (II). Second order in the curvature. General algorithms

Covariant perturbation theory proposed in the previous paper is worked up to the second order in field strengths (curvatures). The trace of the heat kernel and the one-loop effective action for the generic second-order operator are obtained with this accuracy. The calculational scheme for higher ord...

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Published inNuclear physics. B Vol. 333; no. 2; pp. 471 - 511
Main Authors Barvinsky, A.O., Vilkovisky, G.A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.1990
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ISSN0550-3213
1873-1562
DOI10.1016/0550-3213(90)90047-H

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Summary:Covariant perturbation theory proposed in the previous paper is worked up to the second order in field strengths (curvatures). The trace of the heat kernel and the one-loop effective action for the generic second-order operator are obtained with this accuracy. The calculational scheme for higher orders is presented. The large time behaviour of the trace of the heat kernel is obtained to all orders in the curvature.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(90)90047-H