Precision lattice test of the gauge/gravity duality at large $N$
We perform a systematic, largescale lattice simulation of D0brane quantum mechanics. The largeN and continuum limits of the gauge theory are taken for the first time at various temperatures 0.4≤T≤1.0. As a way to test the gauge/gravity duality conjecture we compute the internal energy of the black hole as a function of the temperature directly from the gauge theory. We obtain a leading behavior that is compatible with the supergravity result E/N ^{2}=7.41T ^{14/5}: the coefficient is estimated to be 7.4±0.5 when the exponent is fixed and stringy corrections are included. This is the first confirmation of the supergravity prediction for the internal energy of a black hole at finite temperature coming directly from the dual gauge theory. As a result, we also constrain stringy corrections to the internal energy.
 Authors:

^{[1]};
^{[1]};
^{[2]};
^{[3]};
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^{[1]}
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Stanford Univ., Stanford, CA (United States); Kyoto Univ., Kyoto (Japan)
 Univ. of Tsukuba, Ibaraki (Japan)
 Keio Univ., Kanagawa (Japan); High Energy Accelerator Research Org., Tsukuba (Japan)
 Publication Date:
 Report Number(s):
 LLNLJRNL694385
Journal ID: ISSN 24700010; PRVDAQ
 Grant/Contract Number:
 AC5207NA27344; S1511006
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 9; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Research Org:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org:
 USDOE
 Contributing Orgs:
 Monte Carlo String/MTheory Collaboration (MCSMC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1333904
 Alternate Identifier(s):
 OSTI ID: 1330921
Berkowitz, Evan, Rinaldi, Enrico, Hanada, Masanori, Ishiki, Goro, Shimasaki, Shinji, and Vranas, Pavlos. Precision lattice test of the gauge/gravity duality at large N. United States: N. p.,
Web. doi:10.1103/PhysRevD.94.094501.
Berkowitz, Evan, Rinaldi, Enrico, Hanada, Masanori, Ishiki, Goro, Shimasaki, Shinji, & Vranas, Pavlos. Precision lattice test of the gauge/gravity duality at large N. United States. doi:10.1103/PhysRevD.94.094501.
Berkowitz, Evan, Rinaldi, Enrico, Hanada, Masanori, Ishiki, Goro, Shimasaki, Shinji, and Vranas, Pavlos. 2016.
"Precision lattice test of the gauge/gravity duality at large N". United States.
doi:10.1103/PhysRevD.94.094501. https://www.osti.gov/servlets/purl/1333904.
@article{osti_1333904,
title = {Precision lattice test of the gauge/gravity duality at large N},
author = {Berkowitz, Evan and Rinaldi, Enrico and Hanada, Masanori and Ishiki, Goro and Shimasaki, Shinji and Vranas, Pavlos},
abstractNote = {We perform a systematic, largescale lattice simulation of D0brane quantum mechanics. The largeN and continuum limits of the gauge theory are taken for the first time at various temperatures 0.4≤T≤1.0. As a way to test the gauge/gravity duality conjecture we compute the internal energy of the black hole as a function of the temperature directly from the gauge theory. We obtain a leading behavior that is compatible with the supergravity result E/N2=7.41T14/5: the coefficient is estimated to be 7.4±0.5 when the exponent is fixed and stringy corrections are included. This is the first confirmation of the supergravity prediction for the internal energy of a black hole at finite temperature coming directly from the dual gauge theory. As a result, we also constrain stringy corrections to the internal energy.},
doi = {10.1103/PhysRevD.94.094501},
journal = {Physical Review D},
number = 9,
volume = 94,
place = {United States},
year = {2016},
month = {11}
}