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The ordering of operators in the Yang-Mills Hamiltonian is determined for the V₀=0 gauge and for a general noncovariant gauge (V₈) =0, with a linear function of the spatial components of the gauge field V_. 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 (V₈) =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.
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Christ et al. (Fri,) studied this question.
www.synapsesocial.com/papers/6a05b396af928b8b7c345241 — DOI: https://doi.org/10.1103/physrevd.22.939
Norman H. Christ
T. D. Lee
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
Columbia University
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