格点上的Schwinger-Keldysh：一种快速算法及其在场论中的应用
Schwinger-Keldysh on the lattice: a faster algorithm and its application to field theory
摘要：
本文提出了一种新的算法，可以实时地对1 + 1维理论进行蒙特卡罗研究。主要的算法发展是避免了雅可比矩阵及其行列式在更新过程中的显式计算。这种改进具有广泛的适用性，并将顶针启发计算的更新成本从O（N^3）降低到小于O（N^2）。作为一个额外的功能，该算法导致改进的蒙特卡罗建议。我们将该算法应用于具有弱耦合和强耦合的纯量π ^4理论的实时动力学。
英文摘要：
A new algorithm is developed allowing the Monte Carlo study of a 1 + 1 dimensional theory in real time. The main algorithmic development is to avoid the explicit calculation of the Jacobian matrix and its determinant in the update process. This improvement has a wide applicability and reduces the cost of the update in thimble-inspired calculations from O(N^3) to less than O(N^2). As an additional feature, the algorithm leads to improved Monte Carlo proposals. We exemplify the use of the algorithm to the real time dynamics of a scalar ϕ^4 theory with weak and strong couplings.
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