Operator Spin Foams: holonomy formulation and coarse graining

Abstract

A dual holonomy version of operator spin foam models is presented, which is particularly adapted to the notion of coarse graining. We discuss how this leads to a natural way of comparing models on different discretization scales, and a notion of renormalization group flow on the partially ordered set of 2-complexes.

5 pages, 3 figures, to appear in Journal of Physics: Conference Series. (JPCS)

References in corpus (5)

• Spin-Foams for All Loop Quantum Gravity
• (Broken) Gauge Symmetries and Constraints in Regge Calculus
• Perfect discretization of reparametrization invariant path integrals
• Operator Spin Foam Models
• A new look at loop quantum gravity

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• Linking covariant and canonical LQG II: Spin foam projector
• Towards a Cosmological subsector of Spin Foam Quantum Gravity
• Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators
• Topological lattice field theories from intertwiner dynamics
• The landscape of polymer quantum cosmology
• Properties of the Hamiltonian Renormalisation and its application to quantum mechanics on the circle
• Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity