2020/04/09 by Kanazawa, Takuya
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th)
paper · doi:10.48550/arxiv.2004.04483
A new non-Hermitian chiral random matrix model is proposed. For three flavors, it is shown that in the large-N limit with N the matrix size, the color SU(3) and the flavor SU(3) symmetries are spontaneously broken to the diagonal SU(3) subgroup, realizing color-flavor locking. The nonlinear sigma model representation is rigorously derived and compared with the CFL chiral Lagrangian of QCD. For two flavors, the color SU(3) symmetry is shown to be spontaneously broken to SU(2) while the chiral SU(2)L\timesSU(2)R symmetry remains intact, thus reproducing the symmetry breaking pattern of the 2SC phase in QCD.