Quantum Electrodynamics in the Light-Front Weyl Gauge

Abstract

We examine QED(3+1) quantised in the `front form' with finite `volume' regularisation, namely in Discretised Light-Cone Quantisation. Instead of the light-cone or Coulomb gauges, we impose the light-front Weyl gauge $A^{-}=0$. The Dirac method is used to arrive at the quantum commutation relations for the independent variables. We apply `quantum mechanical gauge fixing' to implement Gauß' law, and derive the physical Hamiltonian in terms of unconstrained variables. As in the instant form, this Hamiltonian is invariant under global residual gauge transformations, namely displacements. On the light-cone the symmetry manifests itself quite differently.

LaTeX file, 30 pages (A4 size), no figures. Submitted to Physical review D. January 18, 1996. Originally posted, erroneously, with missing `Weyl' in title. Otherwise, paper is identical

References in corpus (6)

• Quantum Mechanics of the Vacuum State in Two-Dimensional QCD with Adjoint Fermions
• On the Discretized Light-Cone Quantization of Electrodynamics
• NAMBU-GOLDSTONE BOSON ON THE LIGHT-FRONT
• On Zero Modes and the Vacuum Problem -- A Study of Scalar Adjoint Matter in Two-Dimensional Yang-Mills Theory via Light-Cone Quantisation
• Signatures of Confinement in Axial Gauge QCD
• Can the Nambu-Goldstone Boson Live on the Light-Front?

Cited by in corpus (3)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative renormalization and the electron's anomalous moment in large-alpha QED
• QCD near the Light Cone