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Quantization of maximally charged slowly moving black holes
Physical Review D (2001)
  • George Siopsis, University of Tennessee, Knoxville
Abstract

We discuss the quantization of a system of slowly moving extreme Reissner-Nordström black holes. In the near-horizon limit, this system has been shown to possess an SL(2,R) conformal symmetry. However, the Hamiltonian appears to have no well-defined ground state. This problem can be circumvented by a redefinition of the Hamiltonian due to de Alfaro, Fubini, and Furlan (DFF). We apply the Faddeev-Popov quantization procedure to show that the Hamiltonian with no ground state corresponds to a gauge in which there is an obstruction at the singularities of moduli space requiring a modification of the quantization rules. The redefinition of the Hamiltonian in the manner of DFF corresponds to a different choice of gauge. The latter is a good gauge leading to standard quantization rules. Thus the DFF trick is a consequence of a standard gauge-fixing procedure in the case of black hole scattering.

DOI:10.1103/PhysRevD.63.104018

Disciplines
Publication Date
May 15, 2001
Citation Information
George Siopsis. "Quantization of maximally charged slowly moving black holes" Physical Review D Vol. 63 Iss. 10 (2001)
Available at: http://works.bepress.com/george_siopsis/4/