Wave functionals of free real and complex scalar fields on a 1+1 dimensional lattice

TL;DR

This paper derives explicit wave functionals for free scalar fields on a 1+1 dimensional lattice, providing a tool for validating approximation methods in lattice quantum field theory.

Contribution

It presents explicit calculations of wave functionals for free scalar fields on a lattice, aiding the validation of approximation schemes for self-interacting fields.

Findings

Explicit wave functionals for free scalar fields derived

Provides a benchmark for approximation schemes

Useful for studying self-interacting fields on the lattice

Abstract

We obtain wave functionals of free real and complex scalar fields on a 1+1 dimensional lattice by explicitly calculating the path integral for transition from one field configuration to another. The obtained expressions are useful for cross-checking quality of approximations schemes used to study self-interacting fields on the lattice.