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arxiv 1205.0733 v2 pith:SFF4IZ3Y submitted 2012-05-03 gr-qc

Discrete Symmetries in Covariant LQG

classification gr-qc
keywords covariantslightlytheoryacrossactionaffectedclassicalcoherently
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study time-reversal and parity ---on the physical manifold and in internal space--- in covariant loop gravity. We consider a minor modification of the Holst action which makes it transform coherently under such transformations. The classical theory is not affected but the quantum theory is slightly different. In particular, the simplicity constraints are slightly modified and this restricts orientation flips in a spinfoam to occur only across degenerate regions, thus reducing the sources of potential divergences.

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Cited by 3 Pith papers

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

  1. Toller matrices and the Feynman $i\varepsilon$ in spinfoams

    gr-qc 2026-04 unverdicted novelty 7.0

    Toller matrices T^(±) in causal spinfoam amplitudes satisfy T^(+) + T^(-) = D and admit equivalent definitions via analyticity, iε prescription, and boost-eigenvalue integrals that reproduce the Euclidean-to-Lorentzia...

  2. Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition

    physics.gen-ph 2026-05 unverdicted novelty 6.0

    The emergence of the cosmological arrow of time is identified with a confinement-deconfinement transition in a Z2 lattice gauge theory on LQG spin networks, with the deconfined phase corresponding to a CZX-type SPT phase.

  3. Spinfoams, $\gamma$-duality and parity violation in primordial gravitational waves

    gr-qc 2024-03 unverdicted novelty 6.0

    γ-duality in the EPRL spinfoam model determines the relation between parity-even and parity-odd terms in an effective gravity theory, allowing the Barbero-Immirzi parameter to be measured from inflationary tensor observables.