Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations
arXiv:2608.13117
Abstract
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.
arXiv comment17 pages