论文标题
复杂的兰格文动力学和超对称量子力学
Complex Langevin Dynamics and Supersymmetric Quantum Mechanics
论文作者
论文摘要
使用复杂的Langevin方法，我们探测了具有复杂作用的超对称量子力学模型中动态超对称性破裂的可能性。除了超对称性外，我们考虑的模型在奇偶校验和时间逆转的联合操作下是不变的。当动作是复杂的传统蒙特卡洛方法时，基于重要性抽样的方法失败。具有动态损坏的超对称性的模型由于分区函数的消失而表现出符号问题。复杂的Langevin方法可以成功逃避标志问题。我们的模拟表明，在这些具有复杂作用的一维模型中，复杂的Langevin方法可以可靠地预测动态超对称性破裂的不存在或存在。
Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions. The models we consider are invariant under the combined operation of parity and time reversal, in addition to supersymmetry. When actions are complex traditional Monte Carlo methods based on importance sampling fail. Models with dynamically broken supersymmetry can exhibit sign problem due to the vanishing of the partition function. Complex Langevin method can successfully evade the sign problem. Our simulations suggest that complex Langevin method can reliably predict the absence or presence of dynamical supersymmetry breaking in these one-dimensional models with complex actions.
