Local particle-ghost symmetry

TL;DR

This paper explores the quantization of systems with local particle-ghost symmetry, a fermionic symmetry involving particles and their ghost counterparts, ensuring unitarity through subsidiary conditions.

Contribution

It introduces the concept of local particle-ghost symmetry and discusses its quantization, distinct from supersymmetry and BRST symmetry.

Findings

Particle-ghost symmetry is a fermionic symmetry involving ordinary particles and ghosts.

Subsidiary conditions ensure the unitarity of the quantized systems.

The study provides a framework for quantizing systems with this novel symmetry.

Abstract

We study the quantization of systems with local particle-ghost symmetries. The systems contain ordinary particles including gauge bosons and their counterparts obeying different statistics. The particle-ghost symmetry is a kind of fermionic symmetry, different from the space-time supersymmetry and the BRST symmetry. Subsidiary conditions on states guarantee the unitarity of systems.