Two dimensional baryons in the large N limit

TL;DR

This paper develops a bilocal field theory for two-dimensional QCD mesons, deriving a classical soliton solution that models baryons in the large N limit, and provides numerical solutions for the baryon structure.

Contribution

It introduces a non-local bosonization approach for 2D QCD, reducing baryon equations to a relativistic Hartree form and solving it numerically.

Findings

Derived a classical soliton solution representing baryons

Reduced baryon equations to a relativistic Hartree equation

Numerically solved the soliton for baryon properties

Abstract

We propose a bilocal field theory for mesons in two dimensions obtained as a kind of non local bosonization of two dimensional QCD. Its semi-classical expansion is equivalent to the $1/N_c$ expansion of QCD. Using an ansatz we reduce the classical equation of motion of this theory in the baryon number one sector to a relativistic Hartree equation and solve it numerically. This (non topological) soliton is identified with the baryon.