A Lattice Gauge Model of Singular Marsden-Weinstein Reduction. Part I. Kinematics
arXiv:hep-th/0606132 · doi:10.1016/j.geomphys.2006.09.008
Abstract
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.
arXiv comment27 pages, 6 figures
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Cited by in corpus (9)
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- Defining relations for the orbit type strata of SU(2)-lattice gauge models
- Normal Form of Equivariant Maps and Singular Symplectic Reduction in Infinite Dimensions with Applications to Gauge Field Theory
- On the Reflection Type Decomposition of the Adjoint Reduced Phase Space of a Compact Semisimple Lie group
- Gauge Orbit Types for Theories with Classical Compact Gauge Group
- The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory
- Quantum lattice gauge fields and groupoid C*-algebras
- Singular symplectic cotangent bundle reduction of gauge field theory
- Quasicharacters, recoupling calculus and costratifications of lattice quantum gauge theory