Dirac-type approach for consistent discretizations of classical constrained theories

DOI10.1063/1.1823030zbMath1076.70011arXivgr-qc/0405131OpenAlexW2022448767WikidataQ57394192 ScholiaQ57394192MaRDI QIDQ3024187

Cayetano Di Bartolo, Rafael A. Porto, Jorge Pullin, Rodolfo Gambini

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0405131

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (9)

Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces ⋮ Quantization of systems with temporally varying discretization. II. Local evolution moves ⋮ Classification of constraints and degrees of freedom for quadratic discrete actions ⋮ Discrete canonical analysis of three-dimensional gravity with cosmological constant ⋮ Constraint analysis for variational discrete systems ⋮ Quantization of midisuperspace models ⋮ Loop quantum gravity ⋮ CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS ⋮ The spin-foam approach to quantum gravity

Cites Work

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• Canonical Quantization of General Relativity in Discrete Space-Times
• Discrete mechanics and variational integrators
• Discrete quantum gravity: cosmological examples
• Canonical quantization of constrained theories on discrete spacetime lattices
• Loss of quantum coherence from discrete quantum gravity

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