Local spin foams
arXiv:1010.5227 · doi:10.1142/S0218271812500903
Abstract
The central object of this paper is a holonomy formulation for spin foams. Within this new represen- tation, we analyze three general requirements: locality, composition law, cylindrical consistency. In particular, cylindrical consistency is shown to fix the arbitrary normalization of the vertex amplitude in the case of Euclidean signature.
9 pages, 8 figures, published version
References in corpus (10)
- LQG vertex with finite Immirzi parameter
- A new spinfoam vertex for quantum gravity
- A New Spin Foam Model for 4d Gravity
- A "general boundary" formulation for quantum mechanics and quantum gravity
- The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
- Group field theory renormalization - the 3d case: power counting of divergences
- Lifting SU(2) Spin Networks to Projected Spin Networks
- Face amplitude of spinfoam quantum gravity
- In quantum gravity, summing is refining
- Physical boundary Hilbert space and volume operator in the Lorentzian new spin-foam theory