基于超对称矩阵量子力学研究R×S3上N = 4超杨-米尔斯理论中的解禁闭相变
Deconfinement phase transition in N=4 super Yang-Mills theory on R x S3 from supersymmetric matrix quantum mechanics.
作者信息
Ishiki Goro, Kim Sang-Woo, Nishimura Jun, Tsuchiya Asato
机构信息
Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan.
出版信息
Phys Rev Lett. 2009 Mar 20;102(11):111601. doi: 10.1103/PhysRevLett.102.111601.
We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on R x S{3} in the planar limit. When the mass parameter is large, we can integrate out all of the massive fluctuations around a particular classical solution, which corresponds to R x S{3}. The resulting effective theory for the gauge field moduli at finite temperature reproduces the deconfinement phase transition in N=4 super Yang-Mills theory on R x S{3} at weak coupling. This transition was speculated to be a continuation of the conjectured phase transition at strong coupling, which corresponds to the Hawking-Page transition based on the gauge-gravity duality. At strong coupling, one can study the target theory by the new simulation method for supersymmetric matrix quantum mechanics.
我们检验了最近的一个说法，即具有保持最大超对称性的质量变形的超对称矩阵量子力学可用于在平面极限下研究(R\times S^{3})上的(N = 4)超杨-米尔斯理论。当质量参数很大时，我们可以对围绕一个特定经典解的所有大质量涨落进行积分，该经典解对应于(R\times S^{3})。所得的有限温度下规范场模量的有效理论在弱耦合时重现了(R\times S^{3})上(N = 4)超杨-米尔斯理论中的退禁闭相变。据推测，这个相变是强耦合下推测的相变的延续，强耦合下的相变基于规范-引力对偶对应于霍金-佩奇相变。在强耦合时，可以通过超对称矩阵量子力学的新模拟方法来研究目标理论。
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