A lattice gauge model of singular Marsden–Weinstein reduction Part I. Kinematics

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

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.

Details

Original languageEnglish
Pages (from-to)1193-1213
Number of pages21
JournalJournal of Geometry and Physics
Volume57
Issue number4
Publication statusPublished - 1 Mar 2007
Peer-reviewedYes

External IDs

Scopus 33845251097

Keywords

Keywords

  • Classical mechanics, Cotangent bundle reduction, Invariant theory, Reduced phase space, Singular reduction, Stratified symplectic space, Symplectic geometry