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

L. C. B. Crispino·A. Higuchi·G. E. A. Matsas
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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.

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L. C. B. Crispino, A. Higuchi, G. E. A. Matsas. 2001-04-07. Quantization of the electromagnetic field outside static black holes and its application to low-energy phenomena. https://doi.org/10.1103/physrevd.63.124008%2010.1103%2Fphysrevd.80.029906

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