Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED

Abstract

We study the physical electron in quantum electrodynamics expanded on the light-cone Fock space in order to address two problems: (1) the physics of the electron's anomalous magnetic moment $a_e$ in nonperturbative QED, and (2) the practical problems of ultraviolet regularization and renormalization in truncated nonperturbative light-cone Hamiltonian theory. We present results for $a_e$ computed in a light-cone gauge Fock space truncated to include one bare electron and at most two photons; i.e., up to two photons in flight. The calculational scheme uses an invariant mass cutoff, discretized light-cone quantization (DLCQ), a Tamm--Dancoff truncation of the Fock space, and a photon mass regulator. We introduce new weighting methods which greatly improve convergence to the continuum within DLCQ. Nonperturbative renormalization of the coupling and electron mass are carried out, and a limit on the magnitude of the effective physical coupling strength is computed. A large renormalized coupling strength ${\alpha }_R=0.1$ is then used to make the nonperturbative effects in the electron anomalous moment from the one-electron, two-photon Fock state sector numerically detectable.

RevTex, 35 pages

References in corpus (16)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Pauli--Villars as a Nonperturbative Ultraviolet Regulator in Discretized Light-Cone Quantization
• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• Light-Cone Wavefunctions at Small $x$
• Equivalence of renormalized covariant and light-front perturbation theory: I. Longitudinal divergences in the Yukawa model
• Equivalence of renormalized covariant and light-front perturbation theory: II. Transverse divergences in the Yukawa model
• Flow equations for QED in the light front dynamics
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• QCD near the Light Cone
• (1+1)-Dimensional Yang-Mills Theory Coupled to Adjoint Fermions on the Light Front
• The Lamb Shift in a Light Front Hamiltonian Approach
• Finiteness Conditions for Light-Front Hamiltonians
• Variational Mass Perturbation Theory for Light-Front Bound-State Equations
• 4th order similarity renormalization of a model hamiltonian
• Effects of Massive Gluons on Quarkonia in Light-Front QCD
• Mesons a in Collinear QCD Model

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