Operator Ordering and Feynman Rules in Gauge Theories

Apr, 1980
58 pages
Published in:
  • Phys.Rev.D 22 (1980) 939,
  • Phys.Scripta 23 (1981) 970-972
Report number:
  • CU-TP-174

Citations per year

19791991200320152025051015
Abstract: (APS)
The ordering of operators in the Yang-Mills Hamiltonian is determined for the V0=0 gauge and for a general noncovariant gauge χ(Vi)=0, with χ a linear function of the spatial components of the gauge field Vμ. We show that a Cartesian ordering of the V0=0 gauge Hamiltonian defines a quantum theory equivalent to that of the usual, covariant-gauge Feynman rules. However, a straightforward change of variables reduces this V0=0 gauge Hamiltonian to a χ(Vi)=0 gauge Hamiltonian with an unconventional operator ordering. The resulting Hamiltonian theory, when translated into Feynman graphs, is shown to imply new nonlocal interactions, even in the familiar Coulomb gauge.
  • gauge field theory: Yang-Mills
  • quantization
  • transformation: gauge
  • Feynman graph
  • field theory: Hamiltonian formalism
  • field theory: path integral
  • GAUGE FIELD THEORY: COULOMB GAUGE