Abstract
The quantization of a particle which moves in the neighborhood of a Newtonian path is investigated as a model with typical characteristics of a field theory with classical finite energy configurations. The transformation to collective and fluctuation coordinates results in a singular Lagrangian. It is shown that the associated first class constraints generate a gauge group under which the first-order Lagrangian is invariant. It is then shown that in the BRST extension also the Hamiltonian is invariant and allows the complete quantization of the theory. Finally various gauge-fixing conditions are discussed as well as the integration of the path integral and the derivation of Schwinger-Dyson equations.
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