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Independent Plaquette Trial Action for 4-Dimensional Lattice Gauge Theory

机译:四维格规理论的独立小球试验动作

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摘要

Based on the explicit expressions of the plaquette formulations, the independent plaquette trial action for 4-dimensional lattice gauge theory is introduced. As an example, the mean plaquette energy EP for the SU(2) lattice gauge theory is calculated by using action variational approach with the independent trial action. The results are in good agreement with the Monte Carlo results in the strong coupling and the crossover region, and the curve is smooth in the whole region, which show that 4-dimensional SU(2) theory has only a single, confining phase. The unwanted discontinuity of EP given by the single link trial action, which is used in the earlier variational calculations has been avoided.
机译:基于球状物配方的明确表述,介绍了针对四维晶格规理论的独立球状物试验作用。例如,SU(2)晶格规理论的平均球拍能量EP通过使用具有独立试验作用的作用变分方法来计算。结果与强耦合和交叉区域中的蒙特卡洛结果很好地吻合,并且曲线在整个区域中都是平滑的,这表明4维SU(2)理论只有一个单一的约束阶段。避免了在早期变分计算中使用的单链接试验动作给定的EP的不必要的不​​连续性。

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