Quantum Spin-1/2 Antiferromagnetic Chains and Strongly Coupled Multiflavor Schwinger Models
High Energy Physics - Lattice
2007-05-23 v1 Statistical Mechanics
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.
Cite
@article{arxiv.hep-lat/9907008,
title = {Quantum Spin-1/2 Antiferromagnetic Chains and Strongly Coupled Multiflavor Schwinger Models},
author = {F. Berruto and G. Grignani and G. W. Semenoff and P. Sodano},
journal= {arXiv preprint arXiv:hep-lat/9907008},
year = {2007}
}
Comments
40 pages, 5 figures, Proceedings of the International Conference on "Mathematical Methods in Modern Theoretical Physics" Tbilisi, Georgia, September 1998