论文标题
复杂的langevin模拟$ pt $ -smmetric模型
Complex Langevin simulations for $PT$-symmetric models
论文作者
论文摘要
具有$ pt $ - 对称性的自相互作用标量量子场理论在物理上是可接受的，因为它们的能量谱是真实的，并且在下面有限。但是，具有$ pt $ invariant电位的模型总体上可以采取复杂的动作，并且由于数值标志问题，使用基于传统蒙特卡洛的方法对这种系统进行了非扰动研究。在这项工作中，我们采用基于随机量化的复杂Langevin来研究二维标量场理论，包括表现出$ pt $ symmetry的范围。我们还研究了这些系统的最简单的超对称版本，并解决了有关动态超对称断裂的问题。
Self-interacting scalar quantum field theories possessing $PT$-symmetry are physically admissible since their energy spectrum is real and bounded below. However, models with $PT$-invariant potentials can have complex actions in general and a non-perturbative study of such systems using methods based on traditional Monte Carlo is hindered due to numerical sign problem. In this work we employ complex Langevin based on stochastic quantization to study two-dimensional scalar field theories, including the ones exhibiting $PT$-symmetry. We also study the simplest supersymmetric version of these systems and address the question on dynamical supersymmetry breaking.
