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arXiv 1301.4977hep-lat
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用相对权法求有效Polyakov线action

Effective Polyakov line action from the relative weights method

J. Greensite, K. Langfeld

摘要:

本文应用相对权方法(arXiv:1209.5697)确定了SU(2)格点规范理论在约束相中的有效Polyakov线作用量。有效的行动原来是双线性的基本表示Polyakov线变量,一个相当简单的表达有限范围内核。通过蒙特卡罗模拟,在有效作用和基本的晶格理论中计算Polyakov线矩阵来测试这个作用的有效性。结果表明,两种理论中的修正因子是非常一致的。

英文摘要:

We apply the relative weights method (arXiv:1209.5697) to determine the effective Polyakov line action for SU(2) lattice gauge theory in the confined phase, at lattice coupling beta=2.2 and N_t=4 lattice spacings in the time direction. The effective action turns out to be bilinear in the fundamental representation Polyakov line variables, with a rather simple expression for the finite range kernel. The validity of this action is tested by computing Polyakov line correlators, via Monte Carlo simulation, in both the effective action and the underlying lattice theory. It is found that the correlators in each theory are in very close agreement.

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