1992/04/15 by Gordon W. Semenoff, Gordon Semenoff · 2 citations
Physics and Astronomy · #Antiferromagnetism #Black Holes and Theoretical Physics #Chiral anomaly #Condensed matter physics #Coupling (piping) #Fermion #Operator (biology) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Symmetry (geometry) #Symmetry breaking #hep-th
paper · pdf · doi:10.1142/s0217732392004183
published as Mod. Phys. Lett. A7 (1992) 2811-2818 · 11pages
arxiv created 1992/04/15 · openalex publication_date 1992/09/28 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. We use this mapping to prove that the strong coupling limit of QED breaks chiral symmetry. The staggered Néel order parameter of the antiferromagnet 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.