Submatrix deconfinement and small black holes in AdS
Abstract Large N gauged multi-matrix quantum mechanical models usually have a first order Hagedorn transition, related to deconfinement. In this transition the change of the energy and entropy is of order N 2 at the critical temperature. This paper studies the microcanonical ensemble of the model at...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)054 |
| _version_ | 1818231966877614080 |
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| author | David Berenstein |
| author_facet | David Berenstein |
| author_sort | David Berenstein |
| collection | DOAJ |
| description | Abstract Large N gauged multi-matrix quantum mechanical models usually have a first order Hagedorn transition, related to deconfinement. In this transition the change of the energy and entropy is of order N 2 at the critical temperature. This paper studies the microcanonical ensemble of the model at intermediate energies 1 ≪ E ≪ N 2 in the coexistence region for the first order phase transition. Evidence is provided for a partial deconfinement phase where submatrix degrees of freedom for a U(M) subgroup of U(N), with M ≪ N have an excitation energy of order M 2 and are effectively phase separated from the other degrees of freedom. These results also provide a simple example of the Susskind-Horowitz-Polchinski correspondence principle where a transition from a long string to a black hole is smooth. Implications for the dual configurations of small black holes in AdS are discussed. |
| first_indexed | 2024-12-12T10:58:48Z |
| format | Article |
| id | doaj.art-edd74478957e4490be327fdf6d130f0c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T10:58:48Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-edd74478957e4490be327fdf6d130f0c2022-12-22T00:26:36ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018911910.1007/JHEP09(2018)054Submatrix deconfinement and small black holes in AdSDavid Berenstein0Department of Physics, University of CaliforniaAbstract Large N gauged multi-matrix quantum mechanical models usually have a first order Hagedorn transition, related to deconfinement. In this transition the change of the energy and entropy is of order N 2 at the critical temperature. This paper studies the microcanonical ensemble of the model at intermediate energies 1 ≪ E ≪ N 2 in the coexistence region for the first order phase transition. Evidence is provided for a partial deconfinement phase where submatrix degrees of freedom for a U(M) subgroup of U(N), with M ≪ N have an excitation energy of order M 2 and are effectively phase separated from the other degrees of freedom. These results also provide a simple example of the Susskind-Horowitz-Polchinski correspondence principle where a transition from a long string to a black hole is smooth. Implications for the dual configurations of small black holes in AdS are discussed.http://link.springer.com/article/10.1007/JHEP09(2018)054ConfinementAdS-CFT CorrespondenceBlack Holes in String TheoryMatrix Models |
| spellingShingle | David Berenstein Submatrix deconfinement and small black holes in AdS Journal of High Energy Physics Confinement AdS-CFT Correspondence Black Holes in String Theory Matrix Models |
| title | Submatrix deconfinement and small black holes in AdS |
| title_full | Submatrix deconfinement and small black holes in AdS |
| title_fullStr | Submatrix deconfinement and small black holes in AdS |
| title_full_unstemmed | Submatrix deconfinement and small black holes in AdS |
| title_short | Submatrix deconfinement and small black holes in AdS |
| title_sort | submatrix deconfinement and small black holes in ads |
| topic | Confinement AdS-CFT Correspondence Black Holes in String Theory Matrix Models |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)054 |
| work_keys_str_mv | AT davidberenstein submatrixdeconfinementandsmallblackholesinads |