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

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.

11.15.Tk
11.10.Ef
11.10.Gh
12.38.Lg
quantum electrodynamics
quantization: light front
electron
photon
symmetry: chiral
current: covariance

References(35)

Figures(3)

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