TY - JOUR

T1 - Nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons

AU - Chabysheva, Sophia S

AU - Hiller, John R

PY - 2010/4/26

Y1 - 2010/4/26

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.81.074030

DO - 10.1103/PhysRevD.81.074030

M3 - Article

AN - SCOPUS:77951946281

SN - 1550-7998

VL - 81

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

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

IS - 7

M1 - 074030

ER -