摘要翻译：
对于二维Majorana-Wilson晶格费米子，我们导出了二聚体表示。这相当于Gattringer的循环表示，但在环面上是精确的。随后的对偶映射导致了另一种表示，在这种表示中构造了高效的Swendsen-Wang型聚类算法。它包括边界条件波动的可能性。它还允许改进的估计量，并使有趣的新的可观察到的蒙特卡罗。该算法与Gross-Neveu以及附加的Z(2)规范相互作用兼容。本文报道了临界自由费米子的数值证明。
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英文标题：
《Cluster simulation of relativistic fermions in two space-time dimensions》
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作者：
Ulli Wolff
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：High Energy Physics - Lattice        高能物理-晶格
分类描述：Lattice field theory. Phenomenology from lattice field theory. Algorithms for lattice field theory.  Hardware for lattice field theory.
晶格场论。从晶格场论到现象学。格场论的算法。晶格场论硬件。
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：High Energy Physics - Theory        高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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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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PDF链接：
https://arxiv.org/pdf/707.2872