Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions

TL;DR

This paper derives and solves a reduced 1+1 dimensional matrix field theory from 3+1 dimensional SU(N) Yang-Mills with adjoint fermions, revealing exact solutions for certain massless string-like bound states.

Contribution

It introduces a new class of solvable 1+1D matrix theories from higher-dimensional Yang-Mills and provides exact solutions for specific bound states.

Findings

Exact solutions for massless string-like states

Masses, wavefunctions, and structure functions of bound states derived

Identification of novel bound states in reduced Yang-Mills theory

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 matrix field theories. We derive the quantized light-cone Hamiltonian in the light-cone gauge A_- = 0 and large-N limit, and then solve for the masses, wavefunctions and structure functions of the color singlet ``meson-like'' and ``baryon-like'' boundstates. Among the states we study are many massless string-like states that can be solved for exactly.