Supersymmetric Gupta-Bleuler Quantization

TL;DR

This paper develops a supersymmetric quantization method for massless vector fields using a covariant approach and the Hilbert-Krein structure in N=1 superspace, advancing gauge-invariant quantization techniques.

Contribution

It introduces a supersymmetric Gupta-Bleuler quantization framework utilizing the Hilbert-Krein structure for the first time.

Findings

Formulation of a covariant supersymmetric quantization method.

Implementation of the Hilbert-Krein structure in N=1 superspace.

Achieved gauge-invariant quantization of massless vector fields.

Abstract

We formulate the Gupta-Bleuler canonical, covariant and gauge invariant supersymmetric quantization of the supersymmetric (massless) vector field. Our main tool is the recently introduced Hilbert-Krein structure of the N=1 superspace.