# Lattice Gauge Field Interpolation for Chiral Gauge Theories

## TL;DR

This paper discusses a lattice gauge field interpolation method crucial for non-perturbative chiral gauge theories, demonstrating its properties through a simplified U(1) gauge field case.

## Contribution

It introduces a four-dimensional non-abelian interpolation scheme that satisfies necessary properties for chiral gauge theories.

## Key findings

- Successful demonstration of the interpolation scheme in 2D U(1) case
- Establishment of properties needed for non-perturbative formulations
- Foundation for extending to non-abelian gauge fields

## Abstract

The importance of lattice gauge field interpolation for our recent non-perturbative formulation of chiral gauge theory is emphasized. We illustrate how the requisite properties are satisfied by our recent four-dimensional non-abelian interpolation scheme, by going through the simpler case of U(1) gauge fields in two dimensions.