Journal
PHYSICAL REVIEW D
Volume 94, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.094501
Keywords
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Funding
- Japanese Ministry of Education, Sciences and Technology, Sports and Culture (MEXT) for Scientific Research [25287046]
- Program to Disseminate Tenure Tracking System, MEXT, Japan
- KAKENHI [16K17679]
- MEXT-Supported Program for the Strategic Research Foundation at Private Universities Topological Science [S1511006]
- U.S. Department of Energy by Lawrence Livermore National Laboratory (LLNL) [DE-AC52-07NA27344]
- LLNL Multiprogrammatic and Institutional Computing program through a Tier 1 Grand Challenge award
- Grants-in-Aid for Scientific Research [16K17679, 25287046, 25800163] Funding Source: KAKEN
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We perform a systematic, large-scale lattice simulation of D0-brane quantum mechanics. The large-N 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. We also constrain stringy corrections to the internal energy.
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