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Gravitons Enhance Fermions during Inflation

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arxiv gr-qc/0603135 v3 pith:MR6P6O2L submitted 2006-03-31 gr-qc hep-th

classification gr-qchep-th
keywords duringfermionsinflationalthoughapproximationbehavesclassicalcoefficients
verification ladder T0 review T1 audit T2 compute T3 formal
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We solve the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time dependent field strength renormalization of Z_2(t) = 1 - \frac{17}{4 \pi} G H^2 \ln(a) + O(G^2). We show that this also follows from making the Hartree approximation, although the numerical coefficients differ.

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Cited by 5 Pith papers

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

  1. Resumming Fermion Loops for Inflationary Gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The 1-loop graviton self-energy from a massless fermion loop is derived on any cosmological background, and the resulting de Sitter corrections to gravitational waves and the Newtonian potential are resummed via a ren...

  2. Resumming Photon Loops for Inflationary Gravity

    gr-qc 2024-12 accept novelty 6.0 of 10

    Photon loops on de Sitter background are conserved at one loop and produce a positive, logarithmically growing correction to the Weyl tensor and Newtonian potential that resums to a power law.

  3. Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter

    hep-th 2026-02 unverdicted novelty 5.0 of 10

    Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.

  4. Graviton propagator in de Sitter space in a simple one-parameter gauge

    gr-qc 2025-11 unverdicted novelty 5.0 of 10

    Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.

  5. Resummations for Inflationary Quantum Gravity

    gr-qc 2025-01 conditional novelty 3.0 of 10

    Secular logarithms from inflationary graviton loops can be resummed by combining a modified stochastic formalism with a modified renormalization group, though the pure-gravity sector remains incomplete.

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