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Loop quantum gravity: an outside view

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arxiv hep-th/0501114 v4 pith:G6DDBJLC submitted 2005-01-14 hep-th gr-qc

classification hep-thgr-qc
keywords gravityquantumconstraintloopachievementsalgebraambiguitiesappearance
verification ladder T0 review T1 audit T2 compute T3 formal

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We review aspects of loop quantum gravity in a pedagogical manner, with the aim of enabling a precise but critical assessment of its achievements so far. We emphasise that the off-shell (`strong') closure of the constraint algebra is a crucial test of quantum space-time covariance, and thereby of the consistency, of the theory. Special attention is paid to the appearance of a large number of ambiguities, in particular in the formulation of the Hamiltonian constraint. Developing suitable approximation methods to establish a connection with classical gravity on the one hand, and with the physics of elementary particles on the other, remains a major challenge.

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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. An Exactly Soluble Group Field Theory

    gr-qc 2024-12 conditional novelty 6.0 of 10

    A non-interacting group field theory exactly reproduces the Husain-Kuchar model's spinfoam amplitudes and Fock space, bridging canonical and covariant quantization approaches.

  2. Test of Quantum Gravity in Optical Magnetometers

    gr-qc 2025-05 conditional novelty 4.0 of 10

    GUP-induced shifts and broadening of the 129Xe Larmor frequency are estimated to be reachable with a projected 10^-15 sensitivity magnetometer if the GUP parameter α0 is near 10^8.

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