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A note on the Poisson bracket of 2d smeared fluxes in loop quantum gravity

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arxiv 1611.08394 v2 pith:QOAPCS47 submitted 2016-11-25 gr-qc

Alberto S. Cattaneo , Alejandro Perez This is my paper · ORCID
classification gr-qc
keywords gravityquantumgaussgeometricloopvalidityarbitrarybracket
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We show that the non-Abelian nature of geometric fluxes---the corner-stone in the definition of quantum geometry in the framework of loop quantum gravity (LQG)---follows directly form the continuum canonical commutations relations of gravity in connection variables and the validity of the Gauss law. The present treatment simplifies previous formulations and thus identifies more clearly the root of the discreteness of geometric operators in LQG. Our statement generalizes to arbitrary gauge theories and relies only on the validity of the Gauss law.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes

    gr-qc 2019-08 conditional novelty 6.0 of 10

    Gauge-covariant flux corrections in loop quantum cosmology produce an asymmetric quantum bounce with a (2/pi)^4 rescaling of Newton's constant in the pre-bounce branch.

  2. Categorical quantum symmetries and ribbon tensor 2-categories

    math-ph 2025-01 reject novelty 5.0 of 10

    The paper constructs ribbon balancing data and framing levels for 2Rep(U_q G), making it a candidate ribbon tensor 2-category, and recovers strict pivotality in the classical limit q=1.

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