Quantum electrodynamics in the light-front Weyl gauge

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.5135· OSTI ID:387560

Przeszowski, J ^[1]; Naus, H W ^[2]; Kalloniatis, A C ^[3]

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1. Institute of Fundamental Technological Research, Polish Academy of Science, Swietokrzyska 21, 00-049 Warsaw (Poland)
2. Max-Planck-Institut fuer Kernphysik and Institut fuer Theoretische Physik, University of Heidelberg, Heidelberg (Germany)
3. Max-Planck-Institut fuer Kernphysik, Postfach 10 39 80, D-69029 Heidelberg (Germany)

We examine (3+1)-dimensional QED quantized in the {open_quote}{open_quote}front form{close_quote}{close_quote} with finite {open_quote}{open_quote}volume{close_quote}{close_quote} regularization, namely, in discretized light-cone quantization. Instead of the light-cone or Coulomb gauges, we impose the light-front Weyl gauge {ital A}{sup {minus}}=0. The Dirac method is used to arrive at the quantum commutation relations for the independent variables. We apply {open_quote}{open_quote}quantum-mechanical gauge fixing{close_quote}{close_quote} to implement Gauss{close_quote} 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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 387560
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMMUTATION RELATIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
HAMILTONIANS
LIGHT CONE
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM MECHANICS