In the large N c limit, gauge theories with different gauge groups and matter content sometimes turn out to be "large N c equivalent," in the sense of having a set of coincident correlation functions. Large N c equivalence has mainly been explored in the glueball and meson sectors. However, a recent proposal to dodge the fermion sign problem of QCD with a quark number chemical potential using large N c equivalence motivates investigating the applicability of large N c equivalence to correlation functions involving baryon operators. Here we present evidence that large N c equivalence extends to the baryon sector, under the same type of symmetry realization assumptions as in the meson sector, by adapting the classic Witten analysis of large N c baryons.
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - Sep 5 2012