Discretization of the Superparticle Path Integral

TL;DR

This paper develops a discretization method for the superparticle path integral that preserves symmetries, composition properties, and correct continuum limits, ensuring consistency with classical actions.

Contribution

It introduces a new discretization approach for the (D=3,N=2) superparticle action that maintains key symmetries and properties of the continuous theory.

Findings

Discretization preserves global symmetries.

Ensures correct continuum limit.

Maintains composition property of path integrals.

Abstract

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) superparticle action.