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Leading Logarithm Quantum Gravity

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arxiv 2409.12003 v1 pith:3Z5IQLJA submitted 2024-09-18 gr-qc hep-th

S. P. Miao , N. C. Tsamis , R. P. Woodard This is my paper
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keywords gravityseculartechniqueduringfactorsgravitoninflationleading
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abstract

The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation these factors eventually overwhelm the small loop-counting parameter of $G H^2$, causing perturbation theory to break down. A technique was recently developed for summing the leading secular effects at each order in non-linear sigma models, which possess the same kind of derivative interactions as gravity. This technique combines a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. We generalize the new technique to quantum gravity, resulting in a Langevin equation in which secular changes in gravitational phenomena are driven by stochastic fluctuations of the graviton field.

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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. Stochastic inflation from a non-equilibrium renormalization group

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    A generalized Fokker-Planck equation for stochastic inflation is derived from a Polchinski-type renormalization group flow on the density matrix, incorporating dissipative and diffusive corrections beyond the leading order.

  2. Stochastic inflation from a non-equilibrium renormalization group

    hep-th 2026-05 conditional novelty 7.0 of 10

    Stochastic inflation is the leading infrared limit of a coarse-grained Schwinger–Keldysh effective theory, and the same Fokker–Planck dynamics follows from a Polchinski-type renormalization-group flow for the reduced ...

  3. An Unfinished Collaboration with A. A. Starobinsky

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Quantum gravitational infrared fluctuations could make the rescaled spatial metric undergo Brownian motion on SL(3,R)/SO(3), producing exponential anisotropy and a quantum violation of cosmic no-hair.

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