### Abstract

The Pauli-Villars regularization scheme is applied to a calculation of the dressed-electron state and its anomalous magnetic moment in light-front- quantized 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.

Original language | English (US) |
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Article number | 074030 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 81 |

Issue number | 7 |

DOIs | |

State | Published - Apr 26 2010 |

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## Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*81*(7), [074030]. https://doi.org/10.1103/PhysRevD.81.074030