Spontaneous Generation of Anisotropic Quasi-fermions

Abstract

We show that two types of relativistic quasi-fermions can emerge from spontaneous gauge and Lorentz violations of a chiral SU(2) model. In the terminology given in the previous paper, the one consists of "quasi-leptons", and the other consists of "quasi-quarks" which are massless and have anisotropic dispersion relations characterized by constant vector potentials. A low energy approximation shows that quasi fermions of the latter type are interpretable as collective excitations of the BCS-type vacuum, the Cooper pairs of which form vector mesons. The same approximation reproduces further a generation structure similar to that of real quarks.