Corrigan-Ramond extension of QCD at nonzero baryon density

We provide the first study of the Corrigan-Ramond extension of one massless flavor Quantum Chromo Dynamics at nonzero quark chemical potential. The goal here is to probe the baryon sector of this extension via the associated chemical potential. Since the extension requires the fermions to transform in the two index antisymmetric representation of the gauge group, one finds that the number of possible channels is richer than in the 't Hooft limit. We first discuss the diquark channels and show that for a number of colors larger than 3 a new diquark channel appears. We then study the infinite number of color limit and show that the Fermi surface is unstable to the formation of the Deryagin-Grigoriev-Rubakov chiral waves. We discover, differently from the 't Hooft limit, the possibility of a colored chiral wave breaking the color symmetry as well as translation invariance. © 2006 The American Physical Society.