SU(N) Antiferromagnets and Strongly Coupled QED: Effective Field Theory for Josephson Junctions Arrays
M.C.Diamantini E.Langmann G.W.Semenoff P.Sodano

TL;DR
This paper reviews the strong coupling behavior of compact QED on a lattice with staggered Fermions, showing its exact mapping to a quantum antiferromagnet and discussing implications for Josephson junction arrays.
Contribution
It establishes an exact mapping between strongly coupled compact QED and quantum antiferromagnets, providing insights for effective field theories of Josephson junction arrays.
Findings
Compact QED at infinite coupling maps exactly to a quantum antiferromagnet.
The correspondence offers a new perspective for modeling Josephson junction arrays.
Insights into effective field theories relevant for superconducting systems.
Abstract
We review our analysis of the strong coupling 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.
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