Failure of mean-field approximation in weakly coupled dilaton gravity

We investigate black hole evaporation in a weakly coupled model of two-dimensional dilaton gravity paying a particular attention to the validity of the semiclassical mean-field approximation. Our model is obtained by adding a reflecting boundary to the celebrated RST model describing N gravitating m...

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Main Author: Fitkevich Maxim
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201819107004
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spelling doaj-7690607a3f534c8daa7adb3212ace5902021-08-02T08:13:11ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011910700410.1051/epjconf/201819107004epjconf_quarks2018_07004Failure of mean-field approximation in weakly coupled dilaton gravityFitkevich MaximWe investigate black hole evaporation in a weakly coupled model of two-dimensional dilaton gravity paying a particular attention to the validity of the semiclassical mean-field approximation. Our model is obtained by adding a reflecting boundary to the celebrated RST model describing N gravitating massless scalar fields to one-loop level. The boundary cuts off the region of strong coupling. Although our model is explicitly weakly coupled, we find that the mean field approximation inevitably fails at the end of black hole evaporation. We propose an alternative semiclassical method aiming at direct calculation of S-matrix elements and illustrate it in a simple shell model.https://doi.org/10.1051/epjconf/201819107004
collection DOAJ
language English
format Article
sources DOAJ
author Fitkevich Maxim
spellingShingle Fitkevich Maxim
Failure of mean-field approximation in weakly coupled dilaton gravity
EPJ Web of Conferences
author_facet Fitkevich Maxim
author_sort Fitkevich Maxim
title Failure of mean-field approximation in weakly coupled dilaton gravity
title_short Failure of mean-field approximation in weakly coupled dilaton gravity
title_full Failure of mean-field approximation in weakly coupled dilaton gravity
title_fullStr Failure of mean-field approximation in weakly coupled dilaton gravity
title_full_unstemmed Failure of mean-field approximation in weakly coupled dilaton gravity
title_sort failure of mean-field approximation in weakly coupled dilaton gravity
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description We investigate black hole evaporation in a weakly coupled model of two-dimensional dilaton gravity paying a particular attention to the validity of the semiclassical mean-field approximation. Our model is obtained by adding a reflecting boundary to the celebrated RST model describing N gravitating massless scalar fields to one-loop level. The boundary cuts off the region of strong coupling. Although our model is explicitly weakly coupled, we find that the mean field approximation inevitably fails at the end of black hole evaporation. We propose an alternative semiclassical method aiming at direct calculation of S-matrix elements and illustrate it in a simple shell model.
url https://doi.org/10.1051/epjconf/201819107004
work_keys_str_mv AT fitkevichmaxim failureofmeanfieldapproximationinweaklycoupleddilatongravity
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