2008/11/13 by Masanori Hanada, Akitsugu Miwa, Jun Nishimura +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevlett.102.181602
published as Phys.Rev.Lett.102:181602,2009 · REVTeX4, 4 pages, 1 figure
arxiv created 2008/11/13 · openalex publication_date 2009/05/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the string-gauge duality it is important to understand how the space-time geometry is encoded in gauge theory observables. We address this issue in the case of the D0-brane system at finite temperature T. Based on the duality, the temporal Wilson loop W in gauge theory is expected to contain the information of the Schwarzschild radius RSch of the dual black hole geometry as log⟨W⟩=RSch/(2\ensuremathπ\ensuremathα^\ensuremath'T). This translates to the power-law behavior log⟨W⟩=1.89(T/\ensuremathλ1/3)^\ensuremath-3/5, where \ensuremathλ is the 't Hooft coupling constant. We calculate the Wilson loop on the gauge theory side in the strongly coupled regime by performing Monte Carlo simulations of supersymmetric matrix quantum mechanics with 16 supercharges. The results reproduce the expected power-law behavior up to a constant shift, which is explainable as \ensuremathα^\ensuremath' corrections on the gravity side. Our conclusion also demonstrates manifestly the fuzzball picture of black holes.