通过格点置换精确评估格点正则化标量场真空振幅
Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations
AI总结：
本文提出一种新方法，通过对路径积分中动能指数因子的格点位点全置换对称化及沃林分解，实现任意维度、任意势场下格点上单标量场真空振幅的精确计算。
AI中文摘要：
本文提出了一种新方法，用于计算任意维度、任意势场下格点上单标量场的真空振幅。该计算涉及路径积分中动能指数因子的格点位点全置换对称化，以及对对称化表达式的沃林分解。
英文摘要：
A novel approach to a computation of vacuum amplitude for a single scalar field in any number of dimensions with arbitrary potential on a lattice is proposed. The computation involves symmetrization of kinetic exponential factor in the path integral over all permutations of lattice sites and Waring decomposition of the symmetrized expression.
