The Analog of t'Hooft Pions with Adjoint Fermions

TL;DR

This paper explores a simplified 1+1 dimensional matrix field theory derived from 3+1 dimensional Yang-Mills theory, providing exact solutions for massless bound states that serve as fundamental excitations.

Contribution

It introduces exact massless solutions for bound states in a reduced dimensional Yang-Mills theory, highlighting fundamental excitations in the large N limit.

Findings

Exact massless bound state solutions found

Wavefunctions are constant in momentum space

Fundamental excitations identified in the theory

Abstract

In this paper we discuss a class of 1+1 dimensional matrix field theories in the light-cone Hamiltonian approach that are obtained from a dimensional reduction of 3+1 dimensional Yang-Mills theory. We present exact massless solutions of the boundstate integral equations in the large N limit. These massless states have constant wavefunctions in momentum space and are therefore fundamental excitations of the theory.