中文

Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations

高能物理 - 理论 2026-08-13 v1

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.

引用

@article{arxiv.2608.13117,
  title  = {Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations},
  author = {Vadim Asnin},
  journal= {arXiv preprint arXiv:2608.13117},
  year   = {2026}
}

备注

18 pages, 1 figure