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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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201819107004 |
| _version_ | 1818589867280433152 |
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| author | Fitkevich Maxim |
| author_facet | Fitkevich Maxim |
| author_sort | Fitkevich Maxim |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-16T09:47:28Z |
| format | Article |
| id | doaj.art-7690607a3f534c8daa7adb3212ace590 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T09:47:28Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-7690607a3f534c8daa7adb3212ace5902022-12-21T22:36:08ZengEDP 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 |
| spellingShingle | Fitkevich Maxim Failure of mean-field approximation in weakly coupled dilaton gravity EPJ Web of Conferences |
| title | 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_short | Failure of mean-field approximation in weakly coupled dilaton gravity |
| title_sort | failure of mean field approximation in weakly coupled dilaton gravity |
| url | https://doi.org/10.1051/epjconf/201819107004 |
| work_keys_str_mv | AT fitkevichmaxim failureofmeanfieldapproximationinweaklycoupleddilatongravity |