Adjoint QCD_2 in Large N

TL;DR

This paper studies a reduced 1+1 dimensional SU(N) gauge theory with adjoint fermions, deriving its Hamiltonian and solving for bound states, revealing many exact massless states akin to the t'Hooft pion.

Contribution

It derives the light-cone Hamiltonian for adjoint QCD_2 in the large N limit and explicitly solves for the bound state spectrum.

Findings

Identification of many exact massless bound states.

Explicit solutions for masses and wavefunctions of bound states.

Similarity of massless states to the t'Hooft pion.

Abstract

We consider a dimensional reduction of 3+1 dimensional SU(N) Yang-Mills theory coupled to adjoint fermions to obtain a class of 1+1 dimensional gauge theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge A^+ = 0$ and large-N limit, then solve for the masses, wavefunctions and of the color singlet boson and fermion boundstates. We find that the theory has many exact massless state that are similar to the t'Hooft pion.