A modification of the projective construction of quantum states for field theories

DOI10.1063/1.4989550zbMath1366.81269arXiv1605.06306OpenAlexW3099400453MaRDI QIDQ5282856

Jerzy Kijowski, Andrzej Okołów

Publication date: 17 July 2017

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

Full work available at URL: https://arxiv.org/abs/1605.06306

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (6)

Constrained projective quantum states for the degenerate Plebański gravity ⋮ Space of quantum states built over metrics of fixed signature ⋮ Kinematic projective quantum states for loop quantum gravity coupled to tensor fields ⋮ Quantum lattice gauge fields and groupoid \(\mathrm{C}^{\ast}\)-algebras ⋮ Hamiltonian renormalisation I: derivation from Osterwalder–Schrader reconstruction ⋮ Hilbert spaces built over metrics of fixed signature

Cites Work

• Unnamed Item
• Projective limits of state spaces. I: Classical formalism.
• Quantization of diffeomorphism invariant theories of connections with a non-compact structure group -- an example
• Symplectic geometry and second quantization
• Algebra of observables and charge superselection sectors for QED on the lattice
• Projective limits of state spaces. II: Quantum formalism
• Kinematic quantum states for the teleparallel equivalent of general relativity
• Construction of spaces of kinematic quantum states for field theories via projective techniques
• Projective loop quantum gravity. I. State space
• Kinematic projective quantum states for loop quantum gravity coupled to tensor fields
• Hamiltonian formulation of a simple theory of the teleparallel geometry
• An Inverse System of Nonempty Objects with Empty Limit
• Constrained projective quantum states for the degenerate Plebański gravity
• Shorter Notes: An Empty Inverse Limit
• Profinite Groups

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