scholarly journals THE VIRTUAL BLACK HOLE IN 2D QUANTUM GRAVITY AND ITS RELEVANCE FOR THE S-MATRIX

2002 ◽  
Vol 17 (06n07) ◽  
pp. 989-992 ◽  
Author(s):  
DANIEL GRUMILLER
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Wave Scattering ◽  
Black Hole Mass ◽  
Hole Formation ◽  
S Wave ◽  
Scalar Matter ◽  
S Matrix ◽  
Tree Vertex ◽  
Classical Mechanism

As shown recently 2d quantum gravity theories — including spherically reduced Einstein-gravity — after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical mechanism of black hole formation should be contained in the tree approximation of the theory. This is shown to be the case for the scattering of two scalars through an intermediate state which by its effective black hole mass is identified as a "virtual black hole". We discuss the lowest order tree vertex for minimally and non-minimally coupled scalars and find a non-trivial finite S-matrix for gravitational s-wave scattering in the latter case.

scholarly journals Quantum channels in quantum gravity

2014 ◽  
Vol 23 (12) ◽  
pp. 1442009 ◽  
Author(s):  
Mukund Rangamani ◽  
Massimilliano Rota
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Quantum Gravity ◽  
Path Integrals ◽  
Quantum Channels ◽  
Hole Formation ◽  
Integral Formalism ◽  
Final State ◽  
State Boundary ◽  
Gauge Gravity

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger–Keldysh like thermo-field double construction in the dual field theory. This allows us to realize the gravitational quantum channels for information retrieval to specific deformations of the field theory path integrals and opens up new connections between geometry and information theory.

scholarly journals Semiclassical $$ \mathcal{S} $$-matrix and black hole entropy in dilaton gravity

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Maxim Fitkevich ◽  
Dmitry Levkov ◽  
Sergey Sibiryakov
Keyword(s):  
Black Hole ◽  
Scattering Amplitude ◽  
Black Hole Entropy ◽  
Point Particle ◽  
Dilaton Gravity ◽  
Black Hole Mass ◽  
Final State ◽  
S Matrix ◽  
Semiclassical Solution ◽  
Unit Probability

Abstract We use complex semiclassical method to compute scattering amplitudes of a point particle in dilaton gravity with a boundary. This model has nonzero minimal black hole mass Mcr. We find that at energies below Mcr the particle trivially scatters off the boundary with unit probability. At higher energies the scattering amplitude is exponentially suppressed. The corresponding semiclassical solution is interpreted as formation of an intermediate black hole decaying into the final-state particle. Relating the suppression of the scattering probability to the number of the intermediate black hole states, we find an expression for the black hole entropy consistent with thermodynamics. In addition, we fix the constant part of the entropy which is left free by the thermodynamic arguments. We rederive this result by modifying the standard Euclidean entropy calculation.

2d quantum gravity and black hole formation

2000 ◽  
Vol 88 (1-3) ◽  
pp. 281-282
Author(s):  
Wolfgang Kummer
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Hole Formation ◽  
Black Hole Formation

scholarly journals BLACK HOLE FORMATION IN BIDIMENSIONAL DILATON GRAVITY COUPLED TO SCALAR MATTER SYSTEMS

1999 ◽  
Vol 14 (39) ◽  
pp. 2687-2694 ◽  
Author(s):  
M. ALVES ◽  
D. BAZEIA ◽  
V. B. BEZERRA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Fields ◽  
The Other ◽  
Gravity Models ◽  
Fourth Power ◽  
Dilaton Gravity ◽  
Hole Formation ◽  
Scalar Matter ◽  
Matter Fields

This work deals with the formation of black hole in bidimensional dilaton gravity coupled to scalar matter fields. We investigate two scalar matter systems, one described by a sixth power potential and the other defined with two scalar fields containing up to the fourth power in the fields. The topological solutions that appear in these cases allow the formation of black holes in the corresponding dilaton gravity models.

scholarly journals DOES CHIRAL FERMION COUPLED TO A BACKGROUND DILATON FIELD PRESERVE INFORMATION?

2009 ◽  
Vol 24 (27) ◽  
pp. 2195-2201 ◽  
Author(s):  
ANISUR RAHAMAN
Keyword(s):  
Black Hole ◽  
Crucial Role ◽  
Wave Scattering ◽  
Dilaton Field ◽  
Chiral Fermion ◽  
Scattering Process ◽  
S Wave ◽  
Dilaton Black Hole

A model where chiral boson is coupled to a background dilaton field is considered to study the s-wave scattering of fermion by a background dilaton black hole. It is found that the scattering process of chiral fermion does not violate unitarity and information remains preserved. Faddevian anomaly plays a crucial role on the information scenario.

scholarly journals A quantum S-matrix for two-dimensional black hole formation and evaporation

1993 ◽  
Vol 406 (1-2) ◽  
pp. 43-58 ◽  
Author(s):  
Erik Verlinde ◽  
Herman Verlinde
Keyword(s):  
Black Hole ◽  
Two Dimensional ◽  
Hole Formation ◽  
Black Hole Formation ◽  
S Matrix ◽  
Dimensional Black Hole
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