BF gravity and the Immirzi parameter
arXiv:gr-qc/0102073 · doi:10.1088/0264-9381/18/5/101
Abstract
We propose a novel BF-type formulation of real four-dimensional gravity, which generalizes previous models. In particular, it allows for an arbitrary Immirzi parameter. We also construct the analogue of the Urbantke metric for this model.
5 pages, no figures, LaTeX file. References corrected
Cited by in corpus (50)
- The Spin Foam Approach to Quantum Gravity
- Spin Foam Models for Quantum Gravity
- Quantum Gravity: a Progress Report
- Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
- SU(2) Loop Quantum Gravity seen from Covariant Theory
- Edge modes of gravity. Part III. Corner simplicity constraints
- Area spectrum in Lorentz covariant loop gravity
- The Plebanski action extended to a unification of gravity and Yang-Mills theory
- Spin foam model from canonical quantization
- Spin Foam Models of Riemannian Quantum Gravity
- Gravity and Unification: A review
- gravity
- Barrett-Crane spin foam model from generalized BF-type action for gravity
- Critical Overview of Loops and Foams
- A Lagrangian constraint analysis of first order classical field theories with an application to gravity
- On the Relations between Gravity and BF Theories
- A Immirzi-like parameter for 3d quantum gravity
- Plebanski Theory and Covariant Canonical Formulation
- Covariant canonical formalism for four-dimensional BF theory
- A note about the quantum of area in a non-commutative space
- Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories
- Manifestly Lorentz-covariant variables for the phase space of general relativity
- A note on the Plebanski action with cosmological constant and an Immirzi parameter
- The Lorentzian proper vertex amplitude: Classical analysis and quantum derivation
- Different types of torsion and their effect on the dynamics of fields
- Pauli-Fierz mass term in modified Plebanski gravity
- Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter
- Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
- Two-dimensional topological field theories coupled to four-dimensional BF theory
- BF gravity with Immirzi parameter and cosmological constant
- Topological field theories in n-dimensional spacetimes and Cartan's equations
- Spin connection formulations of real Lorentzian General Relativity
- BF gravity with Immirzi parameter and matter fields
- A Large N expansion for Gravity
- Diffeomorphism-invariant action principles for trace-free Einstein gravity
- Trace-free Einstein gravity as a constrained bigravity theory
- Barbero's formulation from a -type action with the Immirzi parameter
- Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
- Field redefinitions and Plebanski formalism for GR
- Polysymplectic formulation for BF gravity with Immirzi parameter
- The UV behavior of Gravity at Large N
- Minimally modified self-dual 2-forms gravity
- Canonical analysis with no second-class constraints of gravity with Immirzi parameter
- Extended diffeomorphism algebras in (quantum) gravitational physics
- A pure connection formulation with real fields for Gravity
- Supergroup BF action for supergravity
- Emergent Dynamics of Spacetime and Matter from a Topological Phase
- Topological gravity localization on a delta-function like Brane
- Consistent and non-consistent deformations of gravitational theories
- Towards a de Sitter quintom-like cosmology from a reduction of a 7-dimensional theory