Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras
DOI10.1007/s00023-018-0717-zzbMath1402.81202arXiv1705.03815OpenAlexW3099341512MaRDI QIDQ1991530
Francesca Arici, Ruben Stienstra, Walter D. van Suijlekom
Publication date: 30 October 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03815
Quantization in field theory; cohomological methods (81T70) Quantum field theory on lattices (81T25) Continuum limits in quantum field theory (81T27) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)
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Cites Work
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- Projective limits of state spaces. I: Classical formalism.
- Intersecting quantum gravity with noncommutative geometry - a review
- Dynamics for QCD on an infinite lattice
- A gauge model for quantum mechanics on a stratified space
- A lattice gauge model of singular Marsden-Weinstein reduction. I: Kinematics
- The role of type III factors in quantum field theory
- On spectral triples in quantum gravity. II.
- A groupoid approach to C*-algebras
- Reduction of symplectic manifolds with symmetry
- Symplectic geometry and second quantization
- Groupoids, inverse semigroups, and their operator algebras
- The Segal-Bargmann ``coherent state transform for compact Lie groups
- Generalized measures in gauge theory
- Projective limits of state spaces. III: Toy-models
- Projective limits of state spaces. IV: Fractal label sets
- Rieffel induction as generalized quantum Marsden-Weinstein reduction
- Induced representations of C\(^*\)-algebras
- Coherent state transforms for spaces of connections
- Spin networks in gauge theory
- On the support of the Ashtekar-Lewandowski measure
- QCD on an infinite lattice
- Projective limits of state spaces. II: Quantum formalism
- Construction of spaces of kinematic quantum states for field theories via projective techniques
- Charge superselection sectors for QCD on the lattice
- Singular Poisson-K\"ahler geometry of stratified K\"ahler spaces and quantization
- Comment on a paper of Ashtekar and Isham
- On the Gauss law and global charge for quantum chromodynamics
- A modification of the projective construction of quantum states for field theories
- Generalized Hamiltonian Dynamics
- Profinite Groups
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