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Strongly Coupled Lattice Gauge Theories and Antiferromagnetic Spin Systems

1999/02/04 by F. Berruto, Federico Berruto, Berruto, Federico · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9902036

120 pages, 14 figures, LaTeX

arxiv created 1999/02/04 · arxiv updated 2009/11/30

Abstract

In this thesis, I use the strong coupling expansion to investigate the multiflavor lattice Schwinger models in the hamiltonian formalism using staggered fermions. In particular, I am interested in analysing the mapping of these gauge theories onto quantum spin-1/2 antiferromagnetic Heisenberg chains. Exploting this mapping, the chiral symmetry breaking patterns are studied and the spectra are computed. The extrapolation to zero lattice spacing of the results compare favorably qualitatively and quantitatively with the weak coupling studies of the gauge models in the continuum.

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