Algebraic quantization of systems with gauge degeneracy

DOI10.1007/BF01205789zbMath0578.46064MaRDI QIDQ1066436

Hendrik B. G. S. Grundling, C. A. Hurst

Publication date: 1985

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

gauge transformationsautomorphism groupsmultiplier algebrastate spacesalgebra of observablesdegenerate linear algebraic field theoryDirac version of electromagnetismfield \(C^*\)-algebralinear boson field theory with linear hermitian constraints

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Constructive quantum field theory (81T08) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

Related Items (17)

LOCAL QUANTUM CONSTRAINTS ⋮ Dirac and normal states on Weyl-von Neumann algebras ⋮ Inequivalent coherent state representations in group field theory ⋮ Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory ⋮ A note on regular states and supplementary conditions ⋮ Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory ⋮ Quantum constraints ⋮ QCD on an infinite lattice ⋮ The resolvent algebra: A new approach to canonical quantum systems ⋮ Algebraic structures of degenerate systems and the indefinite metric ⋮ DUALITY OF COMPACT GROUPS AND HILBERT C*-SYSTEMS FOR C*-ALGEBRAS WITH A NONTRIVIAL CENTER ⋮ Group averaging for de Sitter free fields in terms of hyperspherical functions ⋮ CONFORMAL COVARIANCE OF MASSLESS FREE NETS ⋮ The quantum theory of second class constraints: Kinematics ⋮ Some remarks on the Gupta–Bleuler triplet ⋮ The operator quantization of the open bosonic string: Field algebra ⋮ Superselection in the presence of constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Canonical quantization with indefinite inner product
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• The Feynman integral for singular Lagrangians
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• ON LIFTING AUTOMORPHISMS OF MONOTONE σ-COMPLETE C^*-ALGEBRAS
• A C*-algebra formulation of the quantization of the electromagnetic field
• Canonical formalism for degenerate Lagrangians
• Foundations of Quantum Mechanics
• Generalized Hamiltonian Dynamics
• The Hamiltonian Form of Field Dynamics
• Dirac Bracket Transformations in Phase Space

This page was built for publication: Algebraic quantization of systems with gauge degeneracy