Negative specific heat from nonplanar interactions and small black holes in AdS/CFT
Abstract
The gravity side of the gauge/gravity duality predicts the existence of small black holes with negative specific heat. A free theory of strings has a Hagedorn behavior, but it does not lead to negative specific heat. To understand such states one needs to consider a theory of interacting strings. In the dual gauge theory, the string interactions are related to nonplanar diagrams. In this paper the simplest gauge matrix model of two free matrices, that has Hagedorn behavior is analyzed in detail. A simple double trace deformation of the Hamiltonian, proportional to square of the free Hamiltonian square with a negative sign that mimics a gravitational attraction is enough to produce states with negative specific heat perturbatively and one can still compute the equation of state relating the entropy and the energy. A more general argument based on nonplanar interactions that are random and that grow faster in strength than the energy suggests that states with negative specific heat appear generically.
 Authors:

 Univ. of California, Santa Barbara, CA (United States)
 Publication Date:
 Research Org.:
 Univ. of California, Santa Barbara, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1602234
 Grant/Contract Number:
 SC0011702
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; black hole; gauge gravity correspondence; matrix models
Citation Formats
Berenstein, David. Negative specific heat from nonplanar interactions and small black holes in AdS/CFT. United States: N. p., 2019.
Web. doi:10.1007/JHEP10(2019)001.
Berenstein, David. Negative specific heat from nonplanar interactions and small black holes in AdS/CFT. United States. https://doi.org/10.1007/JHEP10(2019)001
Berenstein, David. Thu .
"Negative specific heat from nonplanar interactions and small black holes in AdS/CFT". United States. https://doi.org/10.1007/JHEP10(2019)001. https://www.osti.gov/servlets/purl/1602234.
@article{osti_1602234,
title = {Negative specific heat from nonplanar interactions and small black holes in AdS/CFT},
author = {Berenstein, David},
abstractNote = {The gravity side of the gauge/gravity duality predicts the existence of small black holes with negative specific heat. A free theory of strings has a Hagedorn behavior, but it does not lead to negative specific heat. To understand such states one needs to consider a theory of interacting strings. In the dual gauge theory, the string interactions are related to nonplanar diagrams. In this paper the simplest gauge matrix model of two free matrices, that has Hagedorn behavior is analyzed in detail. A simple double trace deformation of the Hamiltonian, proportional to square of the free Hamiltonian square with a negative sign that mimics a gravitational attraction is enough to produce states with negative specific heat perturbatively and one can still compute the equation of state relating the entropy and the energy. A more general argument based on nonplanar interactions that are random and that grow faster in strength than the energy suggests that states with negative specific heat appear generically.},
doi = {10.1007/JHEP10(2019)001},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
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