Effective action for EPRL/FK spin foam models

Abstract

We show that a natural modification of the EPRL/FK vertex amplitude gives a finite spin foam model whose effective action gives the Einstein-Hilbert action in the limit of large spins and arbitrarily fine spacetime triangulations. The first-order quantum corrections can be easily computed and we show how to calculate the higher-order corrections.

v2: some changes in text, new references added; 4 pages, proceedings of Loops 11 conference, Madrid; to appear in Journal of Physics: Conference Series (JPCS)

References in corpus (6)

• LQG vertex with finite Immirzi parameter
• A new spinfoam vertex for quantum gravity
• A New Spin Foam Model for 4d Gravity
• Face amplitude of spinfoam quantum gravity
• Emergence of gravity from spinfoams
• Graviton propagator asymptotics and the classical limit of ELPR/FK spin foam models

Cited by in corpus (8)

• The Spin Foam Approach to Quantum Gravity
• Spin Foams and Canonical Quantization
• Lorentzian spinfoam propagator
• Imaginary action, spinfoam asymptotics and the 'transplanckian' regime of loop quantum gravity
• Covariant Loop Quantum Gravity, Low Energy Perturbation Theory, and Einstein Gravity with High Curvature UV Corrections
• Spin-cube Models of Quantum Gravity
• Topological invariant of 4-manifolds based on a 3-group
• Gauge symmetry of the 3BF theory for a generic Lie 3-group