# Interpolation of Non-abelian Lattice Gauge Fields

## TL;DR

This paper introduces a method for interpolating non-abelian lattice gauge fields that maintains key physical and mathematical properties, facilitating non-perturbative studies of chiral gauge theories.

## Contribution

It presents a novel interpolation technique for non-abelian gauge fields that preserves gauge invariance, locality, and covariance, advancing lattice gauge theory simulations.

## Key findings

- Ensures transverse continuity of gauge fields.
- Maintains gauge covariance and lattice symmetries.
- Supports non-perturbative formulation of chiral gauge theories.

## Abstract

We propose a method for interpolating non-abelian lattice gauge fields to the continuum, or to a finer lattice, which satisfies the properties of (i) transverse continuity, (ii) (lattice) rotation and translation covariance, (iii) gauge covariance, (iv) locality. These are the properties required for use in our earlier proposal for non-perturbative formulation and simulation of chiral gauge theories.