Siegel superparticle, higher order fermionic constraints, and path integrals

TL;DR

This paper investigates the Siegel superparticle in flat superspace, deriving its path integral representation, highlighting the importance of higher order fermionic constraints in the quantization process.

Contribution

It provides a canonical quantization and path integral formulation of the Siegel superparticle, emphasizing the role of higher order fermionic constraints in the theory.

Findings

Path integral involves the Siegel action in a gauge-fixed form.

Higher order fermionic constraints significantly influence the path integral.

Canonical quantization yields the massless Wess-Zumino model as an effective theory.

Abstract

We study Siegel superparticle moving in $R^{4|4}$ flat superspace. Canonical quantization is accomplished yielding the massless Wess-Zumino model as an effective field theory. Path integral representation for the corresponding superpropagator is constructed and proven to involve the Siegel action in a gauge fixed form. It is shown that higher order fermionic constraints intrinsic in the theory, though being a consequence of others in $d=4$, make a crucial contribution into the path integral.