Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation

Abstract

Recently Callan, Giddings, Harvey and the author derived a set of one-loop semiclassical equations describing black hole formation/evaporation in two-dimensional dilaton gravity conformally coupled to $N$ scalar fields. These equations were subsequently used to show that an incoming matter wave develops a black hole type singularity at a critical value ${\varphi }_{cr}$ of the dilaton field. In this paper a modification to these equations arising from the Fadeev-Popov determinant is considered and shown to have dramatic effects for $N<24$, in which case ${\varphi }_{cr}$ becomes complex. The $N<24$ equations are solved along the leading edge of an incoming matter shock wave and found to be non-singular. 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 non-singular and asymptotic to deSitter space for $N<24$, at least for sufficiently small mass. It is noted that the one-loop approximation is {\it not} justified by a small parameter for small $N$. However an alternate theory (with different matter content) is found for which the same equations arise to leading order in an adjustable small parameter.

16 pages and 2 figures

References in corpus (7)

• Evanescent Black Holes
• Are Horned Particles the Climax of Hawking Evaporation?
• Evaporation of Two Dimensional Black Holes
• Dynamics of Extremal Black Holes
• Hawking Radiation and Back-Reaction
• Quantum Black Holes
• S-Wave Scattering of Charged Fermions by a Magnetic Black Hole

Cited by in corpus (59)

• The Stretched Horizon and Black Hole Complementarity
• Renormalization group improved black hole spacetimes
• Spherically symmetric space-time with the regular de Sitter center
• Liouville Models of Black Hole Evaporation
• On Quantum Deformation of the Schwarzschild Solution
• Cosmic Censorship in Two-Dimensional Gravity
• How Many New Worlds Are Inside a Black Hole?
• Stability of a vacuum nonsingular black hole
• Black Hole Remnants and the Information Puzzle
• Quantum Black Holes in Two Dimensions
• Cosmological solutions of supercritical string theory
• Quantum Theories of Dilaton Gravity
• Numerical Analysis of Black Hole Evaporation
• Finite sigma models and exact string solutions with Minkowski signature metric
• Classical and Quantum Production of Cornucopions At Energies Below $10^{18}$ GeV
• A Non-Singular Black Hole
• Exact Operator Quantization of a Model of Two-Dimensional Dilaton Gravity
• Nonsingular Lagrangians for Two Dimensional Black Holes
• Exactly Solvable Models of 2d Dilaton Quantum Gravity
• On the conformal equivalence between 2D black holes and Rindler spacetime
• Trace anomaly and Hawking effect in generic 2D dilaton gravity theories
• Conformally Invariant Boundary Conditions for Dilaton Gravity
• Formation and Evaporation of a Naked Singularity in 2D Gravity
• Quantum Theory of Dilaton Gravity in 1+1 Dimensions
• Conformal equivalence of 2D dilaton gravity models
• Information Loss and Anomalous Scattering
• A Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry
• Nonsingular 2-D Black Holes and Classical String Backgrounds
• Hawking Radiation and Energy Conservation in an Evaporating Black Hole
• Cosmic Censorship in 2-Dimensional Dilaton Gravity
• On Higher Derivative Gravity in Two Dimensions
• AdS_2 and quantum stability in the CGHS model
• Dilaton Gravity in $2+\epsilon$ Dimensions
• Toy Models For Black Hole Evaporation
• Polymer quantization of CGHS model- I
• Graceful exit problem and stress-energy-momentum tensors revisited in the two-dimensional string cosmology
• Two-dimensional quantum black holes: Numerical methods
• Consequence of Hawking radiation from 2d dilaton black holes
• Dilaton gravity with a boundary: from unitarity to black hole evaporation
• Black Hole Formation and Space-Time Fluctuations in Two Dimensional Dilaton Gravity and Complementarity
• Space-time Geometry in Exactly Solvable Quantum Dilaton Gravity
• Real decoupling ghost quantization of the CGHS model for two dimensional black holes
• A theory of quantum black holes: non-perturbative corrections and no-veil conjecture
• Space-time structure, asymptotic radiation and information recovery for a quantum hybrid state
• Hawking Radiation and Evaporation of the Black Hole Induced by a Klein-Gordon Soliton
• N=2 Supersymmetry in Two-Dimensional Dilaton Gravity
• Hybrid quantum states in 2d dilaton gravity
• Towards Quantum Cosmology without Singularities
• Quantum Fluctuations and Curvature Singularities in Jackiw-Teitelboim Gravity
• QUANTUM CORRECTIONS AND EXTREMAL BLACK HOLES
• Equilibrium Two-Dimensional Dilatonic Spacetimes
• Trace anomaly and Hawking effect in 2D dilaton gravity theories
• Lorentz Anomaly and 1+1-Dimensional Radiating Black Holes
• Quantum Aspects of Black Holes
• Future singularity free accelerating expansion with the modified Poisson brackets
• A Conformal Affine Toda Model of 2D-Black Holes the End-Point State and the S-Matrix
• Note on explicit form of entanglement entropy in the RST model
• Two non-commutative parameters and regular cosmological phase transition in the semi-classical dilaton cosmology
• Quantum Corrections for a Cosmological String Solution