Duality between quark-quark and quark-antiquark pairing in 1+1 dimensional large N models

Abstract

We identify a canonical transformation which maps the chiral Gross-Neveu model onto a recently proposed Cooper pair model. Baryon number and axial charge are interchanged. The same physics can be described either as chiral symmetry breaking (quark-antiquark pairing) or as superconductivity (quark-quark pairing).

Comments: 3 pages, no figures, Revtex; v2: one reference added