Semiclassical Geometry of 4D Reduced Supersymmetric Yang-Mills Integrals

Semiclassical Geometry of 4D Reduced Supersymmetric Yang-Mills Integrals
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4D约化超对称Yang-Mills积分的半经典几何

DOI:
10.1088/1126-6708/2005/03/058
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发表时间:
2005
影响因子:
5.4
通讯作者:
Marc Wattenberg
Marc Wattenberg
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Z. Burda;B. Petersson;Marc Wattenberg

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利用蒙特-卡罗模拟研究了约化四维超对称杨-米尔斯积分的低能极限时空几何的半经典性质。极限是通过一个循环近似的原始杨米尔斯积分导致一个有效的模型支化聚合物。我们数值确定的回转半径,两点相关函数和Polyakov线运营商的有效模型的行为,并讨论了结果的背景下的原始矩阵模型的大距离行为。
We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte-Carlo simulations. The limit is obtained by an one-loop approximation of the original Yang-Mills integrals leading to an effective model of branched polymers. We numerically determine the behaviour of the gyration radius, the two-point correlation function and the Polyakov-line operator in the effective model and discuss the results in the context of the large-distance behaviour of the original matrix model.