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Covariant algebraic method for calculation of the low-energy heat kernel

J. Math. Phys. 36, 5055 (1995); doi:10.1063/1.531371

Issue Date: September 1995 | See: Erratum

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I. G. Avramidi
Department of Mathematics, University of Greifswald, Jahnstr. 15a, 17489 Greifswald, Germany
Using our recently proposed covariant algebraic approach, the heat kernel for a Laplace-like differential operator in a low-energy approximation is studied. Neglecting all the covariant derivatives of the gauge field strength (Yang–Mills curvature) and the covariant derivatives of the potential term of third order and higher, a closed formula for the heat kernel as well as its diagonal is obtained. Explicit formulas for the coefficients of the asymptotic expansion of the heat kernel diagonal in terms of the Yang–Mills curvature, the potential term and its first two covariant derivatives are obtained. ©1995 American Institute of Physics.
History: Received 27 March 1995; accepted 6 April 1995
Permalink: http://link.aip.org/link/?JMAPAQ/36/5055/1
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ERRATUM

  1. Erratum: "Covariant algebraic method for calculation of the low-energy heat kernel" [J. Math. Phys. 36, 5055–5070 (1995)]
    I. G. Avramidi
    J. Math. Phys. 39, 1720 (1998)

KEYWORDS and PACS

Keywords
PACS
  • 02.30.Jr
    Mathematical methods in physics Function theory, analysis Partial differential equations
  • 02.30.Tb
    Mathematical methods in physics Function theory, analysis Operator theory
  • 02.40.Vh
    Mathematical methods in physics Geometry, differential geometry, and topology Global analysis and analysis on manifolds
  • 04.62.+v
    General relativity and gravitation Quantum field theory in curved spacetime
  • YEAR: 1995

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PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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