Abstract
It is shown that the path-integral quantization of a magnetic-monopole string Lagrangian can be carried out in the ${A}^{0}=0$ gauge without imposing constraints or fixing the gauge completely. Longitudinal modes and the string variables associated with the gauge freedom are not eliminated, but the quantum fluctuations of these variables are integrated out in the Feynman path integral, and the electric Coulomb interaction potential and the charge-monopole interaction potential are obtained as effective potentials. The constraints are imposed on the state vectors. It is shown how to construct such state vectors obeying constraints at all times by using the path integral.
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