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Low-energy effective action in nonperturbative electrodynamics in curved space-time

J. Math. Phys. 50, 102302 (2009); doi:10.1063/1.3239508

Published 5 October 2009

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Ivan G. Avramidi and Guglielmo Fucci
New Mexico Institute of Mining and Technology, Socorro, New Mexico 87801, USA
We study the heat kernel for the Laplace-type partial differential operator acting on smooth sections of a complex spin-tensor bundle over a generic n-dimensional Riemannian manifold. Assuming that the curvature of the U(1) connection (that we call the electromagnetic field) is constant, we compute the first two coefficients of the nonperturbative asymptotic expansion of the heat kernel which are of zero and the first order in Riemannian curvature and of arbitrary order in the electromagnetic field. We apply these results to the study of the effective action in nonperturbative electrodynamics in four dimensions and derive a generalization of the Schwinger's result for the creation of scalar and spinor particles in electromagnetic field induced by the gravitational field. We discover a new infrared divergence in the imaginary part of the effective action due to the gravitational corrections, which seems to be a new physical effect. ©2009 American Institute of Physics
History: Received 13 February 2009; accepted 8 September 2009; published 5 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/102302/1
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KEYWORDS and PACS

Keywords
PACS
  • 04.62.+v
    Quantum fields in curved spacetime
  • 12.20.Ds
    Specific calculations in quantum electrodynamics
  • 04.60.-m
    Quantum gravity
  • 02.30.Tb
    Operator theory
  • 02.30.Jr
    Partial differential equations
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
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REFERENCES (23)
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