Renormalization of Extended QCD$_2$

TL;DR

This paper investigates the renormalization group flow of extended two-dimensional QCD with auxiliary fields, revealing how hadronic properties emerge at low energies in a solvable large Nc limit.

Contribution

It provides a detailed analysis of the renormalization group flow in extended 2D QCD, clarifying the role of auxiliary fields and the emergence of hadronic behavior.

Findings

Auxiliary fields influence the RG flow significantly.

Hadronic properties naturally emerge at low energies.

The model remains solvable in the large Nc limit.

Abstract

Extended QCD (XQCD) proposed by Kaplan [1] is an interesting reformulation of QCD with additional bosonic auxiliary fields. While its partition function is kept exactly the same as that of original QCD, XQCD naturally contains properties of low energy hadronic models. We analyze the renormalization group flow of two-dimensional (X)QCD, which is solvable in the limit of large number of colors Nc, to understand what kind of roles the auxiliary degrees of freedom play and how the hadronic picture emerges in the low energy region.