Precision study of large-N Yang-Mills theory in 2+1 dimensions

TL;DR

This paper accurately solves the boundstate problem in large-N 2+1-dimensional Yang-Mills theory using light-front Hamiltonian methods, revealing a renormalised trajectory and estimating the glueball spectrum at N=infinity.

Contribution

It introduces a novel approach using transverse lattice gauge theory to analyze the boundstate spectrum and Poincaré symmetry enhancement in large-N Yang-Mills theory.

Findings

Identification of a single renormalised trajectory with enhanced Poincaré symmetry

Accurate estimates of low-lying glueball spectrum at N=infinity

Integration of light-front Hamiltonian results with Euclidean lattice data

Abstract

The boundstate problem in 2+1-dimensional large-N Yang-Mills theory is accurately solved using the light-front Hamiltonian of transverse lattice gauge theory. We conduct a thorough investigation of the space of couplings on coarse lattices, finding a single renormalised trajectory on which Poincar\'e symmetries are enhanced in boundstate solutions. Augmented by existing data from finite-N Euclidean lattice simulations, we obtain accurate estimates of the low-lying glueball spectrum at N=infinty