用顶点模型有效模拟相对论费米子
Efficient simulation of relativistic fermions via vertex models
摘要：
我们发展了一个有效的模拟算法，用于强相互作用相对论费米子在二维场论的基础上制定作为一个回路气体。描述费米子动力学的环模型可以映射到统计顶点模型，我们的建议实际上是一个有效的模拟算法，在任意尺寸的通用顶点模型。该算法通过对两点关联函数进行采样，基本上消除了临界慢化，并允许直接在无质量极限下进行模拟。此外，它生成的回路配置与波动的拓扑边界条件，使模拟费米子与任意周期或反周期的边界条件。作为说明性的例子，该算法被应用到Gross-Neveu模型和Schwinger模型在强耦合极限。
英文摘要：
We have developed an efficient simulation algorithm for strongly interacting relativistic fermions in two-dimensional field theories based on a formulation as a loop gas. The loop models describing the dynamics of the fermions can be mapped to statistical vertex models and our proposal is in fact an efficient simulation algorithm for generic vertex models in arbitrary dimensions. The algorithm essentially eliminates critical slowing down by sampling two-point correlation functions and it allows simulations directly in the massless limit. Moreover, it generates loop configurations with fluctuating topological boundary conditions enabling to simulate fermions with arbitrary periodic or anti-periodic boundary conditions. As illustrative examples, the algorithm is applied to the Gross-Neveu model and to the Schwinger model in the strong coupling limit.
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