On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons

TL;DR

This paper proves the renormalizability of the Curci-Ferrari model for massive vector bosons using BRST methods, identifies additional renormalization factors, and explores the physical state space and supersymmetrization.

Contribution

It demonstrates the renormalizability of the Curci-Ferrari model with explicit calculations and extends understanding of its physical states and supersymmetric versions.

Findings

Five Z factors identified instead of three.

Explicit one-loop calculations verify renormalizability.

Many physical states have negative norm.

Abstract

We prove the renormalizability of the Curci-Ferrari model with and without auxiliary fields using BRST methods. In both cases we find 5 $Z$ factors instead of 3. We verify our results by explicit one loop calculations. We determine a set of generators for the ``physical states'', many of which have negative norm. Supersymmetrization is considered.