Large-N_c meson theory

TL;DR

This paper develops an effective meson Lagrangian in two-dimensional large-N_c QCD using bilocal auxiliary fields, deriving the 't Hooft equation as a key result, advancing theoretical understanding of meson dynamics.

Contribution

It introduces a novel bilocal auxiliary field method in light-cone gauge to derive an effective meson Lagrangian in large-N_c QCD, including the derivation of the 't Hooft equation.

Findings

Derived the effective meson Lagrangian in 2D large-N_c QCD.

Established the bilocal auxiliary field method on the light-cone.

Successfully derived the 't Hooft equation from the effective theory.

Abstract

We derive an effective Lagrangian for meson fields. This is done in the light-cone gauge for two-dimensional large-N_c QCD by using the bilocal auxiliary field method. The auxiliary fields are bilocal on light-cone space and their Fourier transformation determines the parton momentum distribution. As the first test of our method, the 't Hooft equation is derived from the effective Lagrangian.