Strong Coupling Qed Breaks Chiral Symmetry

Abstract

We show that the strong coupling limit of d-dimensional quantum electrodynamics with $2^d/2^{[d/2]}$ flavors of fermions can be mapped onto the s=1/2 quantum Heisenberg antiferromagnet in d-1 space dimensions. The staggered Néel order parameter is the expectation value of a mass operator in QED and the spin-waves are pions. We speculate that the chiral symmetry breaking phase transition corresponds to a transition between the flux phase and the conventional Néel ordered phase of an antiferromagnetic t-J model.

11pages

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