Projective limits of state spaces. I: Classical formalism.

DOI10.1016/j.geomphys.2016.10.010zbMath1366.18001arXiv1411.3589OpenAlexW1564870163MaRDI QIDQ347408

Suzanne Lanéry, Thomas Thiemann

Publication date: 30 November 2016

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

Full work available at URL: https://arxiv.org/abs/1411.3589

zbMATH Keywords

symplectic geometryprojective limitsfield theoryconstrained Hamiltonian systemsalgebras of observables

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Axiomatic quantum field theory; operator algebras (81T05) Geometry and quantization, symplectic methods (81S10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

Related Items (13)

A modification of the projective construction of quantum states for field theories ⋮ Projective limits of state spaces. II: Quantum formalism ⋮ Projective limits of state spaces. III: Toy-models ⋮ Projective limits of state spaces. IV: Fractal label sets ⋮ Projective loop quantum gravity. I. State space ⋮ Constrained projective quantum states for the degenerate Plebański gravity ⋮ Fusion basis for lattice gauge theory and loop quantum 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 ⋮ A new realization of quantum geometry ⋮ Projective loop quantum gravity. II. Searching for semi-classical states ⋮ Hilbert spaces built over metrics of fixed signature

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