标题： M理论简化模型的格点研究 显示英文标题

标题： Lattice study of the simplified model of M-theory

摘要： 超对称杨-米尔斯量子力学的格点离散化被回顾，并给出了简化模型的蒙特卡罗模拟结果。 在有限温度下研究的D=4，N=2，冻结系统显示出两个不同的区域，这可能对应于文献中提出的M理论的黑洞和基本0-膜相。 对于更高规范群N < 9的新结果呈现出类似的图景，然而两种相之间的转变性质及其与N的精确标度关系仍未解决。 显示英文摘要

摘要： Lattice discretization of the supersymmetric Yang-Mills quantum mechanics is reviewed and results of the Monte Carlo simulations of the simplified model are presented. The D=4, N=2, quenched system, studied at finite temperature, reveals existence of the two distinct regions which may correspond to a black hole and the elementary 0-branes phases of the M-theory conjectured in the literature. New results for higher gauge groups N < 9 lead to the similar picture, however the nature of the transition between the two phases and its precise scaling with N is yet unresolved.