论文标题
量子重力和M-(Atrix)理论的两种方法
Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
论文作者
论文摘要
在尺寸$ d $的较大值下,认为对具有质量变形的M-(Atrix)理论的玻色子部分的高斯近似。 From the perspective of the gauge/gravity duality this action reproduces with great accuracy the stringy Hagedorn phase transition from a confinement (black string) phase to a deconfinement (black hole) phase whereas from the perspective of the matrix/geometry approach this action only captures a remnant of the geometric Yang-Mills-to-fuzzy-sphere phase where the fuzzy sphere solution is only manifested as a三切型配置称为“婴儿模糊球体”配置。阳米尔斯阶段保留了大多数特征,有两个例外:i)实心球内的均匀分布在量规偶联常数与Wigner的半圆形定律的非常小的值中遭受了跨界,而II)均不存在。
A Gaussian approximation to the bosonic part of M-(atrix) theory with mass deformation is considered at large values of the dimension $d$. From the perspective of the gauge/gravity duality this action reproduces with great accuracy the stringy Hagedorn phase transition from a confinement (black string) phase to a deconfinement (black hole) phase whereas from the perspective of the matrix/geometry approach this action only captures a remnant of the geometric Yang-Mills-to-fuzzy-sphere phase where the fuzzy sphere solution is only manifested as a three-cut configuration termed the "baby fuzzy sphere" configuration. The Yang-Mills phase retains most of its characteristics with two exceptions: i) the uniform distribution inside a solid ball suffers a crossover at very small values of the gauge coupling constant to a Wigner's semi-circle law, and ii) the uniform distribution at small values of the temperatures is non-existent.