Nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons
- Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812 (United States)
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.
- OSTI ID:
- 21409492
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 81, Issue 7; Other Information: DOI: 10.1103/PhysRevD.81.074030; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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QUANTUM ELECTRODYNAMICS
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