English

Superfield Formulation of the Phase Space Path Integral

High Energy Physics - Theory 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9810235,
  title  = {Superfield Formulation of the Phase Space Path Integral},
  author = {I. A. Batalin and K. Bering and P. H. Damgaard},
  journal= {arXiv preprint arXiv:hep-th/9810235},
  year   = {2009}
}

Comments

6 pages, LaTeX

R2 v1 2026-07-22T16:12:50.957Z