Novel generalization of three-dimensional Yang{endash}Mills theory

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531859· OSTI ID:530068

Anco, S C ^[1]

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1. Department of Mathematics, University of British Columbia, Vancouver, British Columbia, V6T 1Z2 (Canada)

A class of new non-Abelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional Yang{endash}Mills theory featuring a novel nonlinear gauge symmetry and field equations for Lie-algebra-valued vector potential fields. The nonlinear form of the gauge symmetry and field equations relies on the vector cross-product and vector curl operator available only in three dimensions, and makes use of an auxiliary Lie bracket together with the Lie bracket used in Yang{endash}Mills theory. A gauge covariant formulation of the new theories is given which utilizes the covariant derivative and curvature from the geometrical formulation of Yang{endash}Mills theory. Further features of the new theories are discussed. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 530068
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 7 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGEBRA
FIELD EQUATIONS
GAUGE INVARIANCE
GEOMETRY
LIE GROUPS
NONLINEAR PROBLEMS
QUANTUM FIELD THEORY
THREE-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS
VECTORS
YANG-MILLS THEORY