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Suppression of proton decay in quantum gravity

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arxiv 2304.06759 v2 pith:EXJ2YT7Y submitted 2023-04-13 hep-ph gr-qchep-th

classification hep-phgr-qchep-th
keywords protonquantumgravitydecayfour-fermionlifetimeinteractionsanalyze
verification ladder T0 review T1 audit T2 compute T3 formal
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The bound on the proton lifetime is one of a small handful of observations that constrains physics not far from the Planck scale. This calls for a calculation of the proton lifetime in quantum gravity. Here, we calculate how quantum fluctuations of the metric impact four-fermion interactions which mediate proton decay. We find that quantum gravity lowers the scaling dimension of the four-fermion interaction, suppressing proton decay and raising the proton lifetime significantly. As a special case, we analyze asymptotically safe quantum gravity, in which we discover that proton-decay-mediating four-fermion interactions are strictly zero.

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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. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.

  2. Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems

    hep-th 2025-01 conditional novelty 6.0 of 10

    Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.

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