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Quantum Spin-1/2 Antiferromagnetic Chains and Strongly Coupled Multiflavor Schwinger Models

1999/07/16 by F. Berruto, G. Grignani, Berruto, F. +6
Engineering · Physics and Astronomy · #Magneto-Optical Properties and Applications #Nonlinear Photonic Systems #Physics of Superconductivity and Magnetism #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9907008

40 pages, 5 figures, Proceedings of the International Conference on "Mathematical Methods in Modern Theoretical Physics" Tbilisi, Georgia, September 1998

arxiv created 1999/07/16 · arxiv updated 2009/11/30

Abstract

We review the correspondence between strongly coupled lattice multiflavor Schwinger models and SU(N) antiferromagnetic chains. We show that finding the low lying states of the gauge models is equivalent to solving an SU(N) Heisenberg antiferromagnetic chain. For the two-flavor lattice Schwinger model the massless excitations correspond to gapless states of the Heisenberg chain, while the massive states are created by fermion transport in the ground state of the spin chain. Our analysis shows explicitly how spinons may arise in lattice gauge theories.

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