Defining relations for the orbit type strata of \(\operatorname{SU}(2)\)-lattice gauge models

DOI10.1016/j.geomphys.2017.04.010zbMath1368.81123arXiv1702.01047OpenAlexW2611306664MaRDI QIDQ2360618

Gerd Rudolph, Florian Fürstenberg, Matthias Schmidt

Publication date: 4 July 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01047

zbMATH Keywords

lattice gauge theoryorbit type stratificationcostratified Hilbert spacestratified quantum theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) Automorphisms of infinite groups (20E36) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Stratifications in topological manifolds (57N80)

Related Items (3)

Deformation quantization and homological reduction of a lattice gauge model ⋮ The Hilbert space costratification for the orbit type strata of SU(2)-lattice gauge theory ⋮ Quasicharacters, recoupling calculus, and Hamiltonian lattice quantum gauge theory

Cites Work

• Unnamed Item
• Unnamed Item
• Differential geometry and mathematical physics. I: Manifolds, Lie groups and Hamiltonian systems
• Dynamics for QCD on an infinite lattice
• Algebraic geometry and analytic geometry
• A gauge model for quantum mechanics on a stratified space
• A lattice gauge model of singular Marsden-Weinstein reduction. I: Kinematics
• On the topology of the reduced classical configuration space of lattice QCD
• Stratified symplectic spaces and reduction
• The invariant theory of \(n\times n\) matrices
• The Segal-Bargmann ``coherent state transform for compact Lie groups
• Reduction of complex Hamiltonian \(G\)-spaces
• Momentum maps and Hamiltonian reduction
• Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type
• QCD on an infinite lattice
• On the stratified classical configuration space of lattice QCD
• Lie groups. An approach through invariants and representations
• Charge superselection sectors for QCD on the lattice
• Kähler quantization and reduction
• On the algebra of quantum observables for a certain gauge model
• Geometric Invariant Theory
• On the Gauss law and global charge for quantum chromodynamics
• On the reflection type decomposition of the adjoint reduced phase space of a compact semisimple Lie group
• On the structure of the observable algebra of QCD on the lattice

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