Hawking radiation of a vector field and gravitational anomalies

Keiju Murata, Umpei Miyamoto

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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 the 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 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.

Original languageEnglish
Article number084038
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number8
DOIs
Publication statusPublished - 2007 Oct 30
Externally publishedYes

Fingerprint

Hawking Radiation
Anomaly
Vector Field
anomalies
radiation
Electromagnetic Fields
Scalar Field
horizon
Horizon
electromagnetic fields
scalars
formalism
Hamiltonian Formalism
Cancellation
cancellation
Black Holes
Photon
Space-time
photons
estimates

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Hawking radiation of a vector field and gravitational anomalies. / Murata, Keiju; Miyamoto, Umpei.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 76, No. 8, 084038, 30.10.2007.

Research output: Contribution to journalArticle

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