English

Quantum Electrodynamics in the Light-Front Weyl Gauge

High Energy Physics - Theory 2009-10-30 v2

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=0A^-=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 Gau{\ss}' 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.

Keywords

Cite

@article{arxiv.hep-th/9601094,
  title  = {Quantum Electrodynamics in the Light-Front Weyl Gauge},
  author = {J. Przeszowski and H. W. L. Naus and A. C. Kalloniatis},
  journal= {arXiv preprint arXiv:hep-th/9601094},
  year   = {2009}
}

Comments

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

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