Abstract
The ordering of operators in the Yang-Mills Hamiltonian is determined for the gauge and for a general noncovariant gauge , with a linear function of the spatial components of the gauge field . We show that a Cartesian ordering of the gauge Hamiltonian defines a quantum theory equivalent to that of the usual, covariant-gauge Feynman rules. However, a straightforward change of variables reduces this gauge Hamiltonian to a 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.
- Received 10 April 1980
DOI:https://doi.org/10.1103/PhysRevD.22.939
©1980 American Physical Society