Path Integral Representation for Weyl Particle Propagator

TL;DR

This paper introduces a path integral approach for massless spin-1/2 particles, resulting in a super-symmetric, P- and T-non-invariant pseudoclassical model, and discusses its Dirac quantization.

Contribution

It provides a novel path integral representation for massless Weyl particles with a super-symmetric pseudoclassical framework.

Findings

Developed a super-symmetric pseudoclassical model for massless particles

Established a path integral formulation for Weyl particle propagator

Analyzed Dirac quantization of the proposed model

Abstract

We present a path integral representation for massless spin one-half particles. It is shown that this gives us a super-symmetric, P-and T-non-invariant pseudoclassical model for relativistic massless spinning particles. Dirac quantization of this model is considered.