Effective Polyakov line action from the relative weights method

Effective Polyakov line action from the relative weights method
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DOI:
10.1103/physrevd.87.094501
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发表时间:
2013-01
期刊:
影响因子:
5
通讯作者:
J. Greensite;K. Langfeld
J. Greensite;K. Langfeld
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
J. Greensite;K. Langfeld

文献摘要

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我们应用相对权值法(arXiv:1209.5697)确定了SU(2)晶格规范理论在限定相中,在晶格耦合beta=2.2和时间方向上N_t=4晶格间隔时的有效Polyakov线作用。在Polyakov线变量的基本表示中,有效作用是双线性的,对于有限范围核具有相当简单的表达式。通过计算Polyakov线相关器,通过蒙特卡罗模拟,在有效作用和基础晶格理论中验证了该作用的有效性。我们发现,每一种理论的相关系数都非常接近。
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.