Strong coupling regime in two-dimensional large-N scalar quantum chromodynamics

TL;DR

This paper investigates the strong coupling regime of two-dimensional large-N scalar QCD, developing techniques to handle oscillatory wave functions, and finds that the lightest hadron is massless with a continuous ground state mass transition.

Contribution

It introduces methods to analyze the strong coupling regime in scalar QCD and provides new insights into the mass spectrum and phase transition behavior.

Findings

The lightest hadron is massless.

Ground state mass is continuous across coupling transition.

Developed techniques for oscillatory wave functions.

Abstract

Two-dimensional large-$N$ quantum chromodynamics with scalar quarks is considered with particular emphasis on its strong coupling regime which has not been studied so far. Techniques necessary to deal with the infinitely oscillatory bound state wave functions in the strong coupling regime are developed. I derive an estimate for the ground state mass and show that (1) the lightest hadron in the theory is massless and (2) the ground state mass is continuous across the transition between the weak and the strong coupling.