复Langevin方法在二维$SU(2)$ Yang-Mills理论中的应用
Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory
摘要:
本文将复朗之万方法与规范冷却相结合应用于二维格点$SU(2)$ Yang-Mills理论。我们得到强有力的数值证据表明,在大朗之万时间的元格变量的期望值收敛,但到一个错误的值时,规范耦合的复杂的相位是大的。
英文摘要:
The complex Langevin method in conjunction with the gauge cooling is applied to the two-dimensional lattice $SU(2)$ Yang-Mills theory that is analytically solvable. We obtain strong numerical evidence that at large Langevin time the expectation value of the plaquette variable converges, but to a wrong value when the complex phase of the gauge coupling is large.
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