Dilaton gravity with a boundary: from unitarity to black hole evaporation
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Springer
Received: May 1, 2020 Accepted: June 9, 2020 Published: June 30, 2020
Dilaton gravity with a boundary: from unitarity to black hole evaporation
a
Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary Prospect 7a, Moscow 117312, Russia b Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny 141700, Moscow Region, Russia c Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University, Moscow 119991, Russia d SISSA, Via Bonomea 265, Trieste 34136 , Italy e INFN — Sezione di Trieste, Via Valerio 2, Trieste 34127, Italy f IGAP, Via Beirut 4, Trieste 34100, Italy g Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya 25, Moscow 117218, Russia
E-mail: [email protected], [email protected], [email protected] Abstract: We point out that two-dimensional Russo-Susskind-Thorlacius (RST) model for evaporating black holes is locally equivalent — at the full quantum level — to flat-space Jackiw-Teitelboim (JT) gravity that was recently shown to be unitary. Globally, the two models differ by a reflective spacetime boundary added in the RST model. Treating the boundary as a local and covariant deformation of quantum JT theory, we develop sensible semiclassical description of evaporating RST black holes. Nevertheless, our semiclassical solutions fail to resolve the information recovery problem, and they do not indicate formation of remnants. This means that either the standard semiclassical method incorrectly describes the evaporation process or the RST boundary makes the flat-space JT model fundamentally inconsistent. Keywords: 2D Gravity, Black Holes, Models of Quantum Gravity ArXiv ePrint: 2004.13745
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)184
JHEP06(2020)184
Maxim Fitkevich,a,b Dmitry Levkova,c and Yegor Zenkevichb,c,d,e,f,g
Contents 1 Introduction
1
2 From RST to JT 2.1 Weyl transformation 2.2 Adding the boundary
4 4 6 8 8 10 12 14
4 Information loss revisited 4.1 Endpoint singularity 4.2 Thunderpop 4.3 Absence of remnants 4.4 Non-conservation of a global charge
16 16 17 19 20
5 Discussion
21
A Deriving the semiclassical equations A.1 Solution in the bulk A.2 Reflection laws A.3 Energy conservation A.4 Equations for solvable deformation
23 23 24 25 26
B Entanglement entropy
26
1
Introduction
Recently the simplest theory of two-dimensional dilaton gravity — flat-space JackiwTeitelboim (JT) model [1–3] — was quantized and its nontrivial, explicitly unitary S-matrix was obtained [4, 5], see also [6, 7]. This model displays so many features of full multidimensional gravity that one can hastily anticipate its application to the long-standing puzzles of black hole physics like information paradox [8–14], firewall proposal [15] (cf. [11]), or nonconservation of global charges [16–18]. However, the JT metric is flat on field equations, and all classical solutions in this theory are causally equivalent to empty two-dimensional sp
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