Covariant Quantization of the Brink-Schwarz Superparticle

TL;DR

This paper presents a covariant quantization method for the Brink-Schwarz superparticle using antibracket formalism, effectively handling infinite ghost fields and confirming that only physical degrees of freedom remain.

Contribution

It introduces a covariant quantization approach employing an off-shell twistor-like formalism to manage infinite ghost fields without altering physical content.

Findings

Antibracket cohomology contains only physical degrees of freedom.

Successfully fixes gauge for each ghost sector.

Maintains covariance in superparticle quantization.

Abstract

The quantization of the Brink-Schwarz-Casalbuoni superparticle is performed in an explicitly covariant way using the antibracket formalism. Since an infinite number of ghost fields are required, within a suitable off-shell twistor-like formalism, we are able to fix the gauge of each ghost sector without modifying the physical content of the theory. The computation reveals that the antibracket cohomology contains only the physical degrees of freedom.