论文标题
在lefschetz Thimbles上模拟仪表理论
Simulating gauge theories on Lefschetz thimbles
论文作者
论文摘要
Lefschetz Thimbles最近被提出，作为对蒙特卡洛模拟中复杂的动作问题（符号问题）的可能解决方案。在这里，我们与复杂的耦合$β$讨论了纯的Abelian仪表理论，并应用了广义Lefschetz Thimbles的概念。我们建议模拟有关切向歧管与顶针的结合的理论。我们构建了一种局部大都市型算法，该算法被限制在特定的切线歧管上。我们还讨论了如何从连续的转与切线歧管开始，可以通过重新持续方法考虑。我们在1+1个维度上演示了$ u（1）$量规理论的算法，并研究残留符号问题。
Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling $β$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the theory on the union of the tangential manifolds to the thimbles. We construct a local Metropolis-type algorithm, that is constrained to a specific tangential manifold. We also discuss how, starting from this result, successive subleading tangential manifolds can be taken into account via a reweighting approach. We demonstrate the algorithm on $U(1)$ gauge theory in 1+1 dimensions and investigate the residual sign problem.
