Yang-Mills theory and quantum chromodynamics in the temporal gauge

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Abstract
A canonical formulation is given for Yang-Mills theory and quantum chromodynamics in the temporal gauge. Operator constraints are avoided so that canonical commutation rules apply throughout. The use of ghost operators for longitudinal and timelike gluons permits the selection of states that obey the gauge-fixing condition and Gauss’s law as time-independent constraints. Propagators for longitudinal gluons are evaluated and an argument is given in support of the conclusion that the part of the propagator that violates time-translation invariance has no effect on perturbative S-matrix elements. The validity of asymptotic free-field representations for quarks and gluons in perturbative S-matrix calculations is related to the Lie algebra that characterizes the gauge theory.

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