Faddeev-Popov ghosts and (1+1)-dimensional black-hole evaporation
- Department of Physics, University of California, Santa Barbara, California 93106 (United States)
Recently Callan, Giddings, Harvey, and the author derived a set of one-loop semiclassical equations describing black-hole formation and/or evaporation in two-dimensional dilaton gravity conformally coupled to {ital N} scalar fields. These equations were subsequently used to show that an incoming matter wave develops a black-hole-type singularity at a critical value {phi}{sub cr} of the dilaton field. In this paper a modification to these equations arising from the Faddeev-Popov determinant is considered and shown to have dramatic effects for {ital N}{lt}24, in which case {phi}{sub cr} becomes complex. The {ital N}{lt}24 equations are solved along the leading edge of an incoming matter shock wave and found to be nonsingular. The shock wave arrives at future null infinity in a zero-energy state, gravitationally cloaked by negative-energy Hawking radiation. Static black-hole solutions supported by a radiation bath are also studied. The interior of the event horizon is found to be nonsingular and asymptotic to de Sitter space for {ital N}{lt}24, at least for sufficiently small mass. It is noted that the one-loop approximation is {ital not} justified by a small parameter for small {ital N}. However an alternate theory (with different matter content) is found for which the same equations arise to leading order in an adjustable small parameter.
- DOE Contract Number:
- FG03-91ER40618
- OSTI ID:
- 7003530
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 46:10; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
EVAPORATION
GRAVITATIONAL FIELDS
TWO-DIMENSIONAL CALCULATIONS
SCALAR FIELDS
COUPLING
METRICS
QUANTIZATION
SEMICLASSICAL APPROXIMATION
SHOCK WAVES
UNIVERSE
PHASE TRANSFORMATIONS
661100* - Classical & Quantum Mechanics- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)