%0 Journal Article %1 durkaKowalski2010 %A Durka, R. %A Kowalski-Glikman, J. %D 2010 %K BFthory lorentzian spinfoam %T Hamiltonian analysis of SO(4,1) constrained BF theory %U http://arxiv.org/abs/1003.2412 %X In this paper we discuss canonical analysis of SO(4,1) constrained BF theory. The action of this theory contains topological terms appended by a term that breaks the gauge symmetry down to the Lorentz subgroup SO(3,1). The equations of motion of this theory turn out to be the vacuum Einstein equations. By solving the B field equations one finds that the action of this theory contains not only the standard Einstein-Cartan term, but also the Holst term proportional to the inverse of the Immirzi parameter, as well as a combination of topological invariants. We show that the structure of the constraints of a SO(4,1) constrained BF theory is exactly that of gravity in Holst formulation. We also briefly discuss quantization of the theory.

@article{durkaKowalski2010, abstract = { In this paper we discuss canonical analysis of SO(4,1) constrained BF theory. The action of this theory contains topological terms appended by a term that breaks the gauge symmetry down to the Lorentz subgroup SO(3,1). The equations of motion of this theory turn out to be the vacuum Einstein equations. By solving the B field equations one finds that the action of this theory contains not only the standard Einstein-Cartan term, but also the Holst term proportional to the inverse of the Immirzi parameter, as well as a combination of topological invariants. We show that the structure of the constraints of a SO(4,1) constrained BF theory is exactly that of gravity in Holst formulation. We also briefly discuss quantization of the theory. }, added-at = {2010-03-13T02:06:18.000+0100}, author = {Durka, R. and Kowalski-Glikman, J.}, biburl = {https://www.bibsonomy.org/bibtex/2d605d5d2e5362d5b0159b26e612732d1/random3f}, description = {[1003.2412] Hamiltonian analysis of SO(4,1) constrained BF theory}, interhash = {087b975c7f5b89cb25947ec84fe5e488}, intrahash = {d605d5d2e5362d5b0159b26e612732d1}, keywords = {BFthory lorentzian spinfoam}, note = {cite arxiv:1003.2412 Comment: 9 pages}, timestamp = {2010-03-13T02:06:19.000+0100}, title = {Hamiltonian analysis of SO(4,1) constrained BF theory}, url = {http://arxiv.org/abs/1003.2412}, year = 2010 }