Baryons and Skyrmions in QCD with Quarks in Higher Representations

TL;DR

This paper explores the properties of baryons in QCD with quarks in higher representations, revealing discrepancies with Skyrmions and identifying the true minimal baryonic states, especially in the large N limit.

Contribution

It clarifies the nature of baryons in higher-representation QCD and shows the minimal baryon differs from the Skyrmion, with stability analysis in the large N limit.

Findings

Minimal baryon does not match Skyrmion in mass, statistics, or baryon number.

In the large N limit, the minimal baryon is unstable and forms bound states.

Bound states correspond to the Skyrmion properties, resolving previous mismatches.

Abstract

We study the baryonic sector of QCD with quarks in the two index symmetric or antisymmetric representation. The minimal gauge invariant state that carries baryon number cannot be identified with the Skyrmion of the low energy chiral effective Lagrangian. Mass, statistics and baryon number do not match. We carefully investigate the properties of the minimal baryon in the large N limit and we find that it is unstable under formation of bound states with higher baryonic number. These states match exactly with the properties of the Skyrmion of the effective Lagrangian.