两个时空维中相对论费米子的团簇模拟
Cluster simulation of relativistic fermions in two space-time dimensions
摘要：
对于二维Majorana-Wilson格点费米子，我们导出了二聚体表象。这相当于加特林格的循环表示，但在这里是在环面上精确的。随后的对偶映射导致另一种表示，其中构造了高效的Swendsen-Wang型聚类算法。它包括波动边界条件的可能性。它还允许改进的估计，并使有趣的新的观测到蒙特卡洛。该算法与Gross-Neveu以及附加的Z（2）规范相互作用兼容。本文对临界自由费米子进行了数值模拟。
英文摘要：
For Majorana-Wilson lattice fermions in two dimensions we derive a dimer representation. This is equivalent to Gattringer's loop representation, but is made exact here on the torus. A subsequent dual mapping leads to yet another representation in which a highly efficient Swendsen-Wang type cluster algorithm is constructed. It includes the possibility of fluctuating boundary conditions. It also allows for improved estimators and makes interesting new observables accessible to Monte Carlo. The algorithm is compatible with the Gross-Neveu as well as an additional Z(2) gauge interaction. In this article numerical demonstrations are reported for critical free fermions.
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