From the Superparticle Path Integral to Superfield Theory

Details From the Superparticle Path Integral to Superfield Theory From the Superparticle Path Integral to Superfield Theory

1993-03-31

arxiv.org/abs/hep-th/9303174v1

Nucl.Phys.B410:355-376,1993

Physics

High Energy Physics

High Energy Physics - Theory

28 pages Latex, University of Stockholm preprint USITP-92-12

Scientific paper

10.1016/0550-3213(93)90438-U

We investigate the hitherto unexplored relation between the superparticle path integral and superfield theory. Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive continuum limit, we find a viable discretization of the (D=3,N=2) free superparticle action. The resulting propagator is not the usual superfield one. We extend the discretization to include the coupling to an external gauge supermultiplet and use this to show the equivalence to superfield theory. This is possible since we are able to reformulate the superfield perturbation theory in terms of our new propagator.

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