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Title: Precision lattice test of the gauge/gravity duality at large N

Journal Article · · Physical Review D
 [1];  [1];  [2];  [3];  [4];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Stanford Univ., Stanford, CA (United States); Kyoto Univ., Kyoto (Japan)
  3. Univ. of Tsukuba, Ibaraki (Japan)
  4. Keio Univ., Kanagawa (Japan); High Energy Accelerator Research Org., Tsukuba (Japan)
+ Show Author Affiliations

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/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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Contributing Organization:
Monte Carlo String/M-Theory Collaboration (MCSMC)
Grant/Contract Number:
AC52-07NA27344; S1511006
OSTI ID:
1333904
Alternate ID(s):
OSTI ID: 1330921
Report Number(s):
LLNL-JRNL-694385; PRVDAQ
Journal Information:
Physical Review D, Vol. 94, Issue 9; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 65 works
Citation information provided by
Web of Science

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Cited By (4)

Lattice gauge theory for physics beyond the Standard Model journal November 2019
Are quantum corrections on horizon scale physically motivated? journal October 2019
To gauge or not to gauge? text January 2018
Lattice Gauge Theory for Physics Beyond the Standard Model text January 2019

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS