Renormalization of Extended QCD${}_2$

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.

Comments: 26 pages, 7 figures, v2: coefficients in Eqs.(5.4),(5.6),(5.10),(5.11),(5.21) fixed, typos corrected, minor changes. v3: minor changes, to be published in PTEP