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

作     者：Evan Berkowitz Enrico Rinaldi Masanori Hanada Goro Ishiki Shinji Shimasaki Pavlos Vranas 

作者机构：Nuclear and Chemical Sciences Division Lawrence Livermore National Laboratory Livermore California 94550 USA Stanford Institute for Theoretical Physics Stanford University Stanford California 94305 USA Yukawa Institute for Theoretical Physics Kyoto University Kitashirakawa Oiwakecho Sakyo-ku Kyoto 606-8502 Japan The Hakubi Center for Advanced Research Kyoto University Yoshida Ushinomiyacho Sakyo-ku Kyoto 606-8501 Japan Center for Integrated Research in Fundamental Science and Engineering (CiRfSE) University of Tsukuba Tsukuba Ibaraki 305-8571 Japan Graduate School of Pure and Applied Sciences University of Tsukuba Tsukuba Ibaraki 305-8571 Japan Research and Education Center for Natural Sciences Keio University Yokohama Kanagawa 223-8521 Japan KEK Theory Center High Energy Accelerator Research Organization Tsukuba 305-0801 Japan 

出 版 物：《Physical Review D》 (物理学评论D辑：粒子、场、重力与宇宙学)

年 卷 期：2016年第94卷第9期

页      面：094501-094501页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Japanese Ministry of Education, Sciences and Technology, Sports and Culture U.S. Department of Energy, USDOE Lawrence Livermore National Laboratory, LLNL, (DE-AC52-07NA27344) Japan Society for the Promotion of Science, KAKEN, (16K17679, 25800163) Ministry of Education, Culture, Sports, Science and Technology, MEXT, (25287046, S1511006) RIKEN 

主　　题：Gauge-gravity dualities M-theory Lattice gauge theory 

摘      要：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. We also constrain stringy corrections to the internal energy.