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arXiv · hep-th/9810235

Superfield Formulation of the Phase Space Path Integral

I. A. Batalin·K. Bering·P. H. Damgaard
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Abstract

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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I. A. Batalin, K. Bering, P. H. Damgaard. 1998-10-29. Superfield Formulation of the Phase Space Path Integral. https://doi.org/10.1016/s0370-2693(98)01537-8

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