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Phys. Rev. D 63, 124008 (2001) [14 pages]

Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena

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Luís C. B. Crispino
Instituto de Fisica Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, São Paulo, Brazil
Departamento de Fisica, Universidade Federal do Pará, Campus Universitário do Guamá, 66075-900, Belém, Pará, Brazil

Atsushi Higuchi
Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom

George E. A. Matsas
Instituto de Fisica Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, São Paulo, Brazil

See Also: Erratum

Received 24 January 2001; published 11 May 2001

We discuss the Gupta-Bleuler quantization of the free electromagnetic field outside static black holes in the Boulware vacuum. We use a gauge which reduces to the Feynman gauge in Minkowski spacetime. We also discuss its relation with gauges used previously. Then we apply the low-energy sector of this field theory to investigate some low-energy phenomena. First, we discuss the response rate of a static charge outside the Schwarzschild black hole in four dimensions. Next, motivated by string physics, we compute the absorption cross sections of low-energy plane waves for the Schwarzschild and extreme Reissner-Nordström black holes in arbitrary dimensions higher than three.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.124008
DOI:
10.1103/PhysRevD.63.124008
PACS:
04.70.Dy, 04.62.+v

See Also

Erratum: Luís C. Crispino, Atsushi Higuchi, and George E. Matsas, Erratum: Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena [Phys. Rev. D 63, 124008 (2001)], Phys. Rev. D 80, 029906 (2009).