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arXiv 0704.2570hep-lathep-th
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有限温度下SU(3)Yang-Mills理论有效格点模型的逆Monte-Carlo确定

Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature

Christian Wozar, Tobias Kaestner, Andreas Wipf, Thomas Heinzl

摘要:

本文总结了我们在不同耦合和温度下用有效Polyakov圈模型描述SU(3)-Yang-Mills理论的工作。相关的有效耦合是通过一个逆蒙特卡罗程序的基础上,采用对称性的哈尔措施的新的Schwinger-Dyson方程。由于一阶性质的相变,我们遇到了一个微调的问题,从有效的模型再现正确的行为的Polyakov环。只要有效耦合的数量足够少,问题就仍然在控制之下。

英文摘要:

This paper concludes our efforts in describing SU(3)-Yang-Mills theories at different couplings/temperatures in terms of effective Polyakov-loop models. The associated effective couplings are determined through an inverse Monte Carlo procedure based on novel Schwinger-Dyson equations that employ the symmetries of the Haar measure. Due to the first-order nature of the phase transition we encounter a fine-tuning problem in reproducing the correct behavior of the Polyakov-loop from the effective models. The problem remains under control as long as the number of effective couplings is sufficiently small.

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