A gauge-invariant Hamiltonian analysis for non-Abelian gauge theoreiesin (2+1) dimensions

1995/10/31 by Dimitra Karabali, V. P. Nair · 17 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/0550-3213(96)00034-x

published as Nucl.Phys. B464 (1996) 135-152 · 22 pages, Plain TeX, modifications in sections 3 and 4 to include change of regularization. (This version will be published in Nucl.Phys.B)

arxiv created 1996/02/27 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Hamiltonian formulation for a non-Abelian gauge theory in two spatial dimensions is carried out in terms of a gauge-invariant matrix parametrization of the fields. The Jacobian for the relevant transformation of variables is given in terms of the WZW-action for a hermitian matrix field. Some gauge-invariant eigenstates of the kinetic term of the Hamiltonian are given; these have zero charge and exhibit a mass gap.

Citations

• Quantization of non-Abelian gauge theories
• Some remarks on the Gribov ambiguity
• Topologically massive gauge theories

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