论文标题
Instantons周围的数值随机扰动理论
Numerical Stochastic Perturbation Theory around instantons
论文作者
论文摘要
多年来，数值随机扰动理论（NSPT）已被证明是一种有价值的工具，尤其能够达到晶格仪理论的前所未有的命令，其扰动的扩张众所周知。该方法的关键特征之一是可以围绕非平凡真空扩展。尽管这个想法已经存在了一段时间，并且在Schrödinger功能的（非平凡）背景的情况下已经实施了，但NSPT围绕Instantons周围的扩展尚未完全解决。在这里，我们介绍了量子力学双重井潜力的计算。我们计算了几个在一式尼斯顿部门中地面能量拆分的订单。我们讨论如何重现（已经知道的两层循环结果）并介绍高阶计算的当前状态。
Numerical Stochastic Perturbation Theory (NSPT) has over the years proved to be a valuable tool, in particular being able to reach unprecedented orders for Lattice Gauge Theories, whose perturbative expansions are notoriously cumbersome. One of the key features of the method is the possibility to expand around non-trivial vacua. While this idea has been around for a while, and it has been implemented in the case of the (non-trivial) background of the Schrödinger functional, NSPT expansions around instantons have not yet been fully worked out. Here we present computations for the double well potential in quantum mechanics. We compute a few orders of the expansion of the ground-state energy splitting in the one-instanton sector. We discuss how (already) known two-loop results are reproduced and present the current status of higher-order computations.
