New vertices and canonical quantization

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.024024· OSTI ID:21410130

Alexandrov, Sergei ^[1]

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1. Laboratoire de Physique Theorique and Astroparticules, CNRS UMR 5207, Universite Montpellier II, 34095 Montpellier Cedex 05 (France)

We present two results on the recently proposed new spin foam models. First, we show how a (slightly modified) restriction on representations in the Engle-Pereira-Rovelli-Livine model leads to the appearance of the Ashtekar-Barbero connection, thus bringing this model even closer to loop quantum gravity. Second, we however argue that the quantization procedure used to derive the new models is inconsistent since it relies on the symplectic structure of the unconstrained BF theory.

• OSTI ID: 21410130
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.024024; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
QUANTIZATION
QUANTUM GRAVITY
SIMULATION
SPIN
ANGULAR MOMENTUM
PARTICLE PROPERTIES
QUANTUM FIELD THEORY