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We study a three-component fermionic fluid in an optical lattice in a regimeof intermediate-to- strong interactions allowing for Raman processes connectingthe different components, similar to those used to create artificial gaugefields (AGF). Using Dynamical Mean-Field Theory we show that the combinedeffect of interactions and AGFs induces a variety of anomalous phases in whichdifferent components of the fermionic fluid display qualitative differences,i.e., the physics is flavor-selective. Remarkably, the different components candisplay huge differences in the correlation effects, measured by theireffective masses and non-monotonic behavior of their occupation number as afunction of the chemical potential, signaling a sort of selective instabilityof the overall stable quantum fluid.

Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions