Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-07-02
Phys.Rev.D76:084038,2007
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 1 figure
Scientific paper
10.1103/PhysRevD.76.084038
Recently, the relation between Hawking radiation and gravitational anomalies has been used to estimate the flux of Hawking radiation for a large class of black objects. In this paper, we extend the formalism, originally proposed by Robinson and Wilczek, to the Hawking radiation of vector particles (photons). It is explicitly shown, with Hamiltonian formalism, that the theory of an electromagnetic field on d-dimensional spherical black holes reduces to one of an infinite number of massive complex scalar fields on 2-dimensional spacetime, for which the usual anomaly-cancellation method is available. It is found that the total energy emitted from the horizon for the electromagnetic field is just (d-2) times as that for a scalar field. The results support the picture that Hawking radiation can be regarded as an anomaly eliminator on horizons. Possible extensions and applications of the analysis are discussed.
Miyamoto Umpei
Murata Keiju
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