LOCAL QUANTUM CONSTRAINTS
From MaRDI portal
Publication:4522335
DOI10.1142/S0129055X00000459zbMath0991.46038arXivmath-ph/9812022MaRDI QIDQ4522335
Fernando Lledó, Hendrik B. G. S. Grundling
Publication date: 19 August 2002
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9812022
quantum system with constraintsconstraint setGupta-Bleuler electromagnetismfield \(C^*\)-algebraAQFTDirac statelocal quantum constraintsmaximal \(C^*\)-algebra of physical observablesweak Haag-Kastler axioms
Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
Inequivalent coherent state representations in group field theory, Quantum constraints, QCD on an infinite lattice, The resolvent algebra: A new approach to canonical quantum systems, Covariant representations for possibly singular actions on $C^*$-algebras, DUALITY OF COMPACT GROUPS AND HILBERT C*-SYSTEMS FOR C*-ALGEBRAS WITH A NONTRIVIAL CENTER, CONFORMAL COVARIANCE OF MASSLESS FREE NETS, Superselection in the presence of constraints, A note on commutation relations and finite dimensional approximations
Cites Work
- The quantum theory of second class constraints: Kinematics
- Algebraic quantization of systems with gauge degeneracy
- A note on regular states and supplementary conditions
- Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
- Algebras of local observables on a manifold
- A family of examples with quantum constraints
- Rieffel induction as generalized quantum Marsden-Weinstein reduction
- The smallest C\(^*\)-algebra for canonical commutation relations
- Fields, observables and gauge transformations. I
- Inductive limit and infinite direct product of operator algebras
- Algebraic structures of degenerate systems and the indefinite metric
- Quantisation in indefinite metric
- QUANTIZED ELECTROMAGNETIC FIELD ON A MANIFOLD
- CANONICAL QUANTIZATION OF YANG-MILLS ON A CIRCLE
- An Algebraic Approach to Quantum Field Theory
- Theory of Longitudinal Photons in Quantum Electrodynamics
- An algebraic spectrum condition