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Quantum Corrections to the Reissner-Nordstr\"{o}m and Kerr-Newman Metrics

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arxiv hep-th/0112237 v1 pith:XVC4KJVK submitted 2001-12-26 hep-th gr-qchep-ph

John F. Donoghue , Barry R. Holstein , Björn Garbrecht , Thomas Konstandin This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords metricscorrectionsquantumkerr-newmanreissner-nordstralphachargedclassical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We use effective field theory techniques to examine the quantum corrections to the gravitational metrics of charged particles, with and without spin. In momentum space the masslessness of the photon implies the presence of nonanalytic pieces $\sim \sqrt{-q^2},q^2\log -q^2$ etc. in the form factors of the energy-momentum tensor. We show how the former reproduces the classical non-linear terms of the Reissner-Nordstr\"{o}m and Kerr-Newman metrics while the latter can be interpreted as quantum corrections to these metrics, of order $G\alpha\hbar/mr^3$

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Forward citations

Cited by 4 Pith papers

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

  1. Classical potential for general spinning bodies

    hep-th 2019-08 accept novelty 7.0 of 10

    The authors derive the all-orders-in-spin, leading-PN classical gravitational potential for general spinning bodies and show that finite-spin minimal coupling matches the Kerr black hole potential after Hilbert-space ...

  2. Higher-Derivative Corrections to Reissner--Nordstr\"om Black Holes from Worldline QFT

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    RF² corrections to RN black holes are computed via worldline QFT, verified exactly in G, and shown to require the weak gravity conjecture for non-negative extremal temperature.

  3. Universality of the Poincar\'e gravitational form factor constraints

    hep-th 2019-08 accept novelty 6.0 of 10

    The zero-momentum gravitational form factor constraints A(0)=G(0)=1 hold for any relativistic spin state definition, including massless states, and follow purely from Poincaré covariance.

  4. Quantum and Classical mechanics vs QFT

    physics.gen-ph 2026-02 reject novelty 4.0 of 10

    Planck's constant is proposed as an emergent order parameter, making quantum mechanics the bridge between quantum field theory and classical mechanics.

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