BF gravity with Immirzi parameter and matter fields
arXiv:1112.5929 · doi:10.1103/PhysRevD.85.064011
Abstract
We perform the coupling of the scalar, Maxwell, and Yang-Mills fields as well as the cosmological constant to BF gravity with Immirzi parameter. The proposed action principles employ auxiliary fields in order to keep a polynomial dependence on the B fields. By handling the equations of motion for the B field and for the auxiliary fields, these latter can be expressed in terms of the physical fields and by substituting these expressions into the original action principles we recover the first-order (Holst) and second-order actions for gravity coupled to the physical matter fields. We consider these results a relevant step towards the understanding of the coupling of matter fields to gravity in the theoretical framework of BF theory.
To appear in Phys. Rev D, 9 pages, LaTeX file
References in corpus (14)
- The loop-quantum-gravity vertex-amplitude
- Flipped spinfoam vertex and loop gravity
- Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity
- A new look at loop quantum gravity
- Spinfoam fermions
- On deformations of Ashtekar's constraint algebra
- Bi-metric theory of gravity from the non-chiral Plebanski action
- Critical Overview of Loops and Foams
- Non-metric gravity: A status report
- Alternative symplectic structures for SO(3,1) and SO(4) four-dimensional BF theories
- Topological field theories in n-dimensional spacetimes and Cartan's equations
- BF gravity with Immirzi parameter and cosmological constant
- Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
- Minimally modified self-dual 2-forms gravity
Cited by in corpus (7)
- gravity
- Different types of torsion and their effect on the dynamics of fields
- Lorentz-covariant Hamiltonian analysis of BF gravity with the Immirzi parameter
- Alternative derivation of Krasnov's action for general relativity
- Barbero's formulation from a -type action with the Immirzi parameter
- Perturbative BF theory
- Canonical analysis with no second-class constraints of gravity with Immirzi parameter