Path Integrals for Parastatistics

TL;DR

This paper shows how to quantize parastatistics using path integrals, providing generating functionals and commutation relations for parabose and parafermi fields in both formalisms.

Contribution

It introduces a path integral approach to parastatistics, including generating functionals and commutation relations for parabose and parafermi fields.

Findings

Path integrals can be used to quantize parastatistics.

Generated functional forms for free and interacting fields.

Provided commutation relations in both canonical and path integral form.

Abstract

We demonstrate that parastatistics can be quantized using path integrals by calculating the generating functionals for time-ordered products of both free and interacting parabose and parafermi fields in terms of path integrals. We also give a convenient form of the commutation relations for the Green components of the parabose and parafermi operators in both the canonical and path integral formalisms.