Gauge Field Theories on a Transverse Lattice

TL;DR

This paper discusses the transverse lattice approach in light-front QCD to manage divergences, highlighting the color-dielectric formulation as a practical solution due to technical challenges.

Contribution

It introduces the transverse lattice method and advocates for the color-dielectric formulation to address divergence issues in light-front QCD.

Findings

Transverse lattice effectively controls $k^+ o 0$ divergences.

Color-dielectric formulation simplifies the lattice approach.

Addresses technical difficulties in canonical formulations.

Abstract

In these notes, the transverse ($\perp$) lattice approach is presented as a means to control the $k^+\to 0$ divergences in light-front QCD. Technical difficulties of both the canonical compact formulation as well as the non-compact formulation of the $\perp$ lattice motivate the color-dielectric formulation, where the link fields are linearized.