%0 Journal Article %1 Bonzom2009 %A Bonzom, Valentin %D 2009 %K AreaProblem QuantumGravity reggecalculus spinfoam %T Spin foam models for quantum gravity from lattice path integrals %U http://arxiv.org/abs/0905.1501 %X Spin foam models for quantum gravity are derived from lattice path integrals. The setting involves variables from both lattice BF theory and Regge calculus. The action consists in a Regge action, which depends on areas, dihedral angles and includes the Immirzi parameter. In addition, a measure is inserted to ensure a consistent gluing of simplices, so that the amplitude is dominated by configurations which satisfy the parallel transport relations. We explicitly compute the path integral as a sum over spin foams for a generic measure. The Freidel-Krasnov and Engle-Pereira-Rovelli models correspond to a special choice of gluing. In this case, the equations of motion describe genuine geometries, where the constraints of area-angle Regge calculus are satisfied. Furthermore, the Immirzi parameter drops out of the on-shell action, and stationarity with respect to area variations requires spacetime geometry to be flat.

@article{Bonzom2009, abstract = { Spin foam models for quantum gravity are derived from lattice path integrals. The setting involves variables from both lattice BF theory and Regge calculus. The action consists in a Regge action, which depends on areas, dihedral angles and includes the Immirzi parameter. In addition, a measure is inserted to ensure a consistent gluing of simplices, so that the amplitude is dominated by configurations which satisfy the parallel transport relations. We explicitly compute the path integral as a sum over spin foams for a generic measure. The Freidel-Krasnov and Engle-Pereira-Rovelli models correspond to a special choice of gluing. In this case, the equations of motion describe genuine geometries, where the constraints of area-angle Regge calculus are satisfied. Furthermore, the Immirzi parameter drops out of the on-shell action, and stationarity with respect to area variations requires spacetime geometry to be flat. }, added-at = {2010-01-08T19:42:07.000+0100}, author = {Bonzom, Valentin}, biburl = {https://www.bibsonomy.org/bibtex/249eb34538df170ccef00757939aec223/random3f}, description = {[0905.1501] Spin foam models for quantum gravity from lattice path integrals}, interhash = {dfaac1a413595974ba2afad64858865b}, intrahash = {49eb34538df170ccef00757939aec223}, keywords = {AreaProblem QuantumGravity reggecalculus spinfoam}, note = {cite arxiv:0905.1501 Comment: 19 pages, 1 figure}, timestamp = {2010-01-08T19:42:07.000+0100}, title = {Spin foam models for quantum gravity from lattice path integrals}, url = {http://arxiv.org/abs/0905.1501}, year = 2009 }