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

Abstract

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.

26 pages (revtex), no figures, misprints in some conditions corrected

References in corpus (6)

• Electromagnetic fields in Schwarzschild and Reissner-Nordström geometry. Quantum corrections to the black hole entropy
• Absorption of photons and fermions by black holes in four dimensions
• Scalar radiation emitted from a source rotating around a black hole
• Interaction of Hawking radiation with static sources outside a Schwarzschild black hole
• Interaction of Hawking radiation and a static electric charge
• Low-energy sector quantization of a massless scalar field outside a Reissner-Nordstrom black hole and static sources

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