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