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arxiv: hep-th/9810235 · v1 · submitted 1998-10-29 · ✦ hep-th

Superfield Formulation of the Phase Space Path Integral

classification ✦ hep-th
keywords integralpathformulationphasespacesuperfieldconstraintscorrect
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We give a superfield formulation of the path integral on an arbitrary curved phase space, with or without first class constraints. Canonical tranformations and BRST transformations enter in a unified manner. The superpartners of the original phase space variables precisely conspire to produce the correct path integral measure, as Pfaffian ghosts. When extended to the case of second-class constraints, the correct path integral measure is again reproduced after integrating over the superpartners. These results suggest that the superfield formulation is of first-principle nature.

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