Face amplitude of spinfoam quantum gravity

Abstract

The structure of the boundary Hilbert-space and the condition that amplitudes behave appropriately under compositions determine the face amplitude of a spinfoam theory. In quantum gravity the face amplitude turns out to be simpler than originally thought.

5 pages, 2 figures

References in corpus (7)

• LQG vertex with finite Immirzi parameter
• A new spinfoam vertex for quantum gravity
• A New Spin Foam Model for 4d Gravity
• The loop-quantum-gravity vertex-amplitude
• Flipped spinfoam vertex and loop gravity
• A "general boundary" formulation for quantum mechanics and quantum gravity
• Spinfoams in the holomorphic representation

Cited by in corpus (7)

• Perfect discretization of reparametrization invariant path integrals
• Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
• Generalized Spinfoams
• A new look at loop quantum gravity
• Spinfoams in the holomorphic representation
• On knottings in the physical Hilbert space of LQG as given by the EPRL model
• On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit