Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
arXiv:1007.3150 · doi:10.1103/PhysRevD.82.124069
Abstract
We investigate the group field theory formulation of the EPRL/FK spin foam models. These models aim at a dynamical, i.e. non-topological formulation of 4D quantum gravity. We introduce a saddle point method for general group field theory amplitudes and compare it with existing results, in particular for a second order correction to the EPRL/FK propagator.
36 pages, 5 figures; an appendix giving a more precise behaviour of the degenerate configuration case has been added; further comments on geometrogenesis as a group field theory phase transition are given; version accepted for publication in Phys Rev D
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Cited by in corpus (5)
- EPRL/FK Group Field Theory
- Operator Spin Foam Models
- Combinatorial Hopf Algebras in (Noncommutative) Quantum Field Theory
- Coherent states for FLRW space-times in loop quantum gravity
- On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit