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 language | English |
|---|---|
| Article number | 084038 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 76 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2007 Oct 30 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Hawking radiation of a vector field and gravitational anomalies
AU - Murata, Keiju
AU - Miyamoto, Umpei
PY - 2007/10/30
Y1 - 2007/10/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=35648974724&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35648974724&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.76.084038
DO - 10.1103/PhysRevD.76.084038
M3 - Article
AN - SCOPUS:35648974724
VL - 76
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 8
M1 - 084038
ER -