Strong Coupling Qed Breaks Chiral Symmetry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Scientific paper

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 N\'eel 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 N\'eel ordered phase of an antiferromagnetic t-J model.

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