The effective U(1)-Higgs theory at strong coupling on optical lattices?

Understand

We discuss the U(1)-Higgs model in two dimensions in the strongly coupled regime.

• If we neglect the plaquette interactions, we generate an effective theory where link variables are integrated out, producing 4-field operators.
• Plaquette interactions can be restored order by order as in recent calculations with staggered fermions.
• In the case of a SU(2) gauge theory with fermions, this strong coupling expansion can be related to the strong coupling expansion of Fermi-Hubbard models possibly implementable on optical lattice.