实时格点上线性化规范场涨落的时间演化
Time evolution of linearized gauge field fluctuations on a real-time lattice
摘要：
经典的实时格点模拟在理解规范理论中的非平衡现象方面起着重要的作用，特别是用于模拟重离子碰撞的预热演化。由于不稳定性，经典背景上的小量子涨落可能会显着影响系统的动力学。在本文中，我们认为需要一个系统的经典规范场和小的线性化波动的方式，保持两者之间的分离的数值计算。我们推导并测试了一个明确的算法来解决这些方程的晶格，保持规范不变性和高斯定律。
英文摘要：
Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Due to instabilities, small quantum fluctuations on top of the classical background may significantly affect the dynamics of the system. In this paper we argue for the need for a numerical calculation of a system of classical gauge fields and small linearized fluctuations in a way that keeps the separation between the two manifest. We derive and test an explicit algorithm to solve these equations on the lattice, maintaining gauge invariance and Gauss's law.
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