Su(n) Antiferromagnets and Strongly Coupled Qed: Effective Field Theory for Josephson Junctions Arrays

We review our analysis of the strong coupling limit of compact QED on a lattice with staggered Fermions. We show that, for infinite coupling, compact QED is exactly mapped in a quantum antiferromagnet. We discuss some aspects of this correspondence relevant for effective field theories of Josephson junctions arrays. This work is supported in part by a grant from the M.U.R.S.T.. M.C.D. and P.S. acknowledge the hospitality of the Physics Department at the University of British Columbia where some of this work was completed. Work supported in part by the “Fonds zur Förderung der wissenschaftlichen Forschung” of Austria under contract Nr. J0789-PHY. This work is supported in part by the Natural Sciences and Engineering Research Council of Canada. G.S. acknowledges the hospitality of the Physics Department of the University of Perugia and I.N.F.N., Sezione di Perugia where part of this work was completed.