PreprintCC BY 4.0arXiv
Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations
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.
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BibTeX
@misc{asnin2026exact,
title = {{Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations}},
author = {Vadim Asnin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.13117},
eprint = {2608.13117},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13117},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Exact Evaluation of Lattice-Regularized Scalar Field Vacuum Amplitude via Site Permutations
AU - Vadim Asnin
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2608.13117
UR - https://arxiv.org/abs/2608.13117
AB - 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.
ER -