  We study a three-component fermionic fluid in an optical lattice in a regime
of intermediate-to- strong interactions allowing for Raman processes connecting
the different components, similar to those used to create artificial gauge
fields (AGF). Using Dynamical Mean-Field Theory we show that the combined
effect of interactions and AGFs induces a variety of anomalous phases in which
different components of the fermionic fluid display qualitative differences,
i.e., the physics is flavor-selective. Remarkably, the different components can
display huge differences in the correlation effects, measured by their
effective masses and non-monotonic behavior of their occupation number as a
function of the chemical potential, signaling a sort of selective instability
of the overall stable quantum fluid.
