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Hamiltonian constraint in Euclidean LQG revisited: First hints of off-shell Closure

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arxiv 1401.0931 v1 pith:IJSAKRME submitted 2014-01-05 gr-qc hep-th

Alok Laddha This is my paper · ORCID
classification gr-qchep-th
keywords constrainthamiltonianeuclideanoff-shellquantumalgebraanomalyborrowing
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We initiate the hunt for a definition of Hamiltonian constraint in Euclidean Loop Quantum Gravity (LQG) which faithfully represents quantum Dirac algebra. Borrowing key ideas from previous works on Hamiltonian constraint in LQG and several toy models, we present some evidence that there exists such a continuum Hamiltonian constraint operator which is well defined on a suitable generalization of the Lewandowski-Marolf Habitat and is anomaly free off-shell.

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Cited by 1 Pith paper

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

  1. Geometrical Quantum Time in the $U(1)^3$ Model of Euclidean Quantum Gravity

    gr-qc 2024-11 reject novelty 4.0 of 10

    In the U(1)^3 toy model of loop quantum gravity, the authors rearrange the quantum Hamiltonian constraint into a discrete evolution equation and, via a questionable continuum limit, a Schrödinger-like equation with a ...

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