On the relation between rigging inner product and master constraint direct integral decomposition

DOI10.1063/1.3486359zbMath1309.81161arXiv0911.3431OpenAlexW3104202119WikidataQ56139222 ScholiaQ56139222MaRDI QIDQ5245788

Thomas Thiemann, Muxin Han

Publication date: 15 April 2015

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

Full work available at URL: https://arxiv.org/abs/0911.3431

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Constrained dynamics, Dirac's theory of constraints (70H45) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (6)

4d quantum geometry from 3d supersymmetric gauge theory and holomorphic block ⋮ Relation between Regge calculus and BF theory on manifolds with defects ⋮ Loop quantum gravity ⋮ \(\operatorname{SL}(2, \mathbb{C})\) Chern-Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: semiclassical geometry ⋮ Spin-foam model for gravity coupled to massless scalar field ⋮ The spin-foam approach to quantum gravity

Cites Work

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• A uniqueness theorem for constraint quantization
• so (4) Plebanski action and relativistic spin-foam model
• The Phoenix Project: master constraint programme for loop quantum gravity
• Modern Canonical Quantum General Relativity
• Foundations of Quantum Mechanics

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