A nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons

Abstract

The Pauli--Villars (PV) regularization scheme is applied to a calculation of the dressed-electron state and its anomalous magnetic moment in light-front-quantized quantum electrodynamics (QED) in Feynman gauge. The regularization is provided by heavy, negative-metric fields added to the Lagrangian. The light-front QED Hamiltonian then leads to a well-defined eigenvalue problem for the dressed-electron state expressed as a Fock-state expansion. The Fock-state wave functions satisfy coupled integral equations that come from this eigenproblem. A finite system of equations is obtained by truncation to no more than two photons and no positrons; this extends earlier work that was limited to dressing by a single photon. Numerical techniques are applied to solve the coupled system and compute the anomalous moment, for which we obtain agreement with experiment, within numerical errors, but observe a small systematic discrepancy that should be due to the absence of electron-positron loops and of three-photon self-energy effects. We also discuss the prospects for application of the method to quantum chromodynamics.

33 pages, 9 figures, RevTeX 4.1; corrected typos and updated references

References in corpus (8)

• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• The Lee-Wick Standard Model
• Hamiltonian light-front field theory in a basis function approach
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• A Higher-Derivative Lee-Wick Standard Model
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• Boost-invariant Hamiltonian approach to heavy quarkonia

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• Hamiltonian Light-Front Field Theory: Recent Progress and Tantalizing Prospects
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