Operator Ordering and Feynman Rules in Gauge Theories
Apr, 198058 pages
Published in:
- Phys.Rev.D 22 (1980) 939,
- Phys.Scripta 23 (1981) 970-972
Report number:
- CU-TP-174
Citations per year
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
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