Heat kernel expansion in the covariant perturbation theory

被引：11

作者：

Gusev, Yuri V. ^{[1
]}

机构：

[1] Simon Fraser Univ, IRMACS Ctr, Burnaby, BC V5A 1S6, Canada

来源：

NUCLEAR PHYSICS B | 2009年 / 807卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Covariant perturbation theory; Heat kernel; Schwinger-DeWitt expansion; Background field method; Green function; LOOP EFFECTIVE ACTION; SCHWINGER-DEWITT TECHNIQUE; QUANTUM-FIELD-THEORY; GRAVITY; RENORMALIZATION; INVARIANTS; CURVATURE; 3RD-ORDER;

D O I：

10.1016/j.nuclphysb.2008.08.008

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Working within the framework of the covariant. perturbation theory, we obtain the coincidence limit of the heat kernel of an elliptic second order differential operator that is applicable to a large class of quantum field theories. The basis of tensor invariants of the curvatures of a gravity and gauge field background, to the second order, is derived, and the form factors acting on them are obtained in two integral representations. The results are verified by the functional trace operation, by the short proper time (Schwinger-DeWitt) expansions, as well as by the computation of the Green function for the two-dimensional scalar field model. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：566 / 590

页数：25

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