Quantization of systems with temporally varying discretization. II. Local evolution moves

DOI10.1063/1.4898764zbMath1366.83022arXiv1401.7731OpenAlexW2146571301MaRDI QIDQ2928120

Philipp A. Höhn

Publication date: 6 November 2014

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

Full work available at URL: https://arxiv.org/abs/1401.7731

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45)

Related Items

From 3D topological quantum field theories to 4D models with defects ⋮ Tensor networks for quantum causal histories ⋮ Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces ⋮ Classification of constraints and degrees of freedom for quadratic discrete actions ⋮ Is the local linearity of space-time inherited from the linearity of probabilities? ⋮ A new realization of quantum geometry ⋮ Time evolution as refining, coarse graining and entangling ⋮ Discrete linear canonical evolution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic analysis of the Ponzano-Regge model with non-commutative metric boundary data
• Discretisations, constraints and diffeomorphisms in quantum gravity
• Relational observables in gravity: a review
• Quantum mechanics for totally constrained dynamical systems and evolving Hilbert spaces
• Bubble divergences from cellular cohomology
• P.l. homeomorphic manifolds are equivalent by elementary shellings
• Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten. (Methods of constructions and the combinatorical homeomorphism problem for triangulations of compact semilinear manifolds)
• Parallelizable implicit evolution scheme for Regge calculus
• Diffeomorphisms and spin foam models
• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• The spin-foam approach to quantum gravity
• Canonical Quantization of General Relativity in Discrete Space-Times
• Canonical simplicial gravity
• Classification of constraints and degrees of freedom for quadratic discrete actions
• A new vacuum for loop quantum gravity
• Dirac-type approach for consistent discretizations of classical constrained theories
• Consistent and mimetic discretizations in general relativity
• An effective approach to the problem of time
• The Hamiltonian constraint in 3d Riemannian loop quantum gravity
• Quantization of systems with temporally varying discretization. I. Evolving Hilbert spaces
• Time evolution as refining, coarse graining and entangling
• Discrete mechanics and variational integrators
• CONSISTENT DISCRETIZATION AND CANONICAL, CLASSICAL AND QUANTUM REGGE CALCULUS
• A Modern Approach to Functional Integration
• Asymptotic analysis of the Engle–Pereira–Rovelli–Livine four-simplex amplitude
• From covariant to canonical formulations of discrete gravity
• (Broken) Gauge symmetries and constraints in Regge calculus
• Principles of discrete time mechanics: I. Particle systems
• The Geometry of Dynamical Triangulations
• TIME AND INTERPRETATIONS OF QUANTUM GRAVITY
• Three-dimensional loop quantum gravity: physical scalar product and spin-foam models
• Quantum spin dynamics (QSD)
• Canonical quantization of constrained theories on discrete spacetime lattices
• Problem of time in quantum gravity
• Divergences and orientation in spinfoams
• From the discrete to the continuous: towards a cylindrically consistent dynamics
• Linking covariant and canonical LQG II: spin foam projector
• Wave function of the Universe
• Constraint analysis for variational discrete systems
• Modern Canonical Quantum General Relativity
• Foundations of Quantum Mechanics