Restoration of the chiral limit in Pauli-Villars-regulated light-front QED

Journal Article · Mon Jun 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.114017· OSTI ID:21296452

Chabysheva, Sofia S; Hiller, John R ^[1]

---

1. Department of Physics, Southern Methodist University, Dallas, Texas 75275 USA, and Department of Physics, University of Minnesota-Duluth, Duluth, Minnesota 55812 (United States)

The dressed-electron eigenstate of Feynman-gauge QED is computed in light-front quantization with a Fock-space truncation to include at most the one-photon/one-electron sector. The theory is regulated by the inclusion of three massive Pauli-Villars (PV) particles, one PV electron, and two PV photons. In particular, the chiral-limit is investigated, and the correct limit is found to require two PV photons, not just one as previously thought. The renormalization and covariance of the electron current are also analyzed. We find that the plus component is well behaved and use its spin-flip matrix element to compute the electron's anomalous moment. The dependence of the moment on the regulator masses is shown to be slowly varying when the second PV photon is used to guarantee the correct chiral limit.

• OSTI ID: 21296452
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPUTERIZED SIMULATION
ELECTRONS
MASS
MATRIX ELEMENTS
PHOTONS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
RENORMALIZATION
SPACE
SPIN FLIP