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Journal Article

Generalized Spinfoams

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20709

Han,  Muxin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1011.2149
(Preprint), 690KB

PRD83_124020.pdf
(Any fulltext), 460KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Ding, Y., Han, M., & Rovelli, C. (2011). Generalized Spinfoams. Physical Review D, 83: 124020. doi:10.1103/PhysRevD.83.124020.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-074A-E
Abstract
We reconsider the spinfoam dynamics that has been recently introduced, in the generalized Kaminski-Kisielowski-Lewandowski (KKL) version where the foam is not dual to a triangulation. We study the Euclidean as well as the Lorentzian case. We show that this theory can still be obtained as a constrained BF theory satisfying the simplicity constraint, now discretized on a general oriented 2-cell complex. This constraint implies that boundary states admit a (quantum) geometrical interpretation in terms of polyhedra, generalizing the tetrahedral geometry of the simplicial case. We also point out that the general solution to this constraint (imposed weakly) depends on a quantum number r_f in addition to those of loop quantum gravity. We compute the vertex amplitude and recover the KKL amplitude in the Euclidean theory when r_f=0. We comment on the eventual physical relevance of r_f, and the formal way to eliminate it.