A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics

Details A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics

2006-06-15

arxiv.org/abs/hep-th/0606132v1

J.Geom.Phys. 57 (2007) 1193-1213

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 6 figures

Scientific paper

10.1016/j.geomphys.2006.09.008

The simplest nontrivial toy model of a classical SU(3) lattice gauge theory
is studied in the Hamiltonian approach. By means of singular symplectic
reduction, the reduced phase space is constructed. Two equivalent descriptions
of this space in terms of a symplectic covering as well as in terms of
invariants are derived.

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