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  Generalized Spinfoams

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-074A-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-074B-C
Genre: Journal Article

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1011.2149 (Preprint), 690KB
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 Creators:
Ding, You, Author
Han, Muxin1, Author              
Rovelli, Carlo, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2010-11-092010-11-142011
 Publication Status: Published in print
 Pages: 16 pages, 3 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1011.2149
DOI: 10.1103/PhysRevD.83.124020
URI: http://arxiv.org/abs/1011.2149
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 83 Sequence Number: 124020 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258