Harmonic BRST Quantization of Systems with Irreducible Holomorphic Boson and Fermion Constraints

TL;DR

This paper extends the harmonic BRST quantization method to systems with both bosonic and fermionic holomorphic constraints, ensuring correct measure reproduction in path integrals.

Contribution

It introduces an extension of harmonic BRST quantization applicable to mixed bosonic and fermionic systems with holomorphic constraints.

Findings

Harmonic BRST method applies to systems with mixed constraints

Path integral reproduces Senjanovic measure accurately

Extension covers both first- and second-class constraints

Abstract

We show that the harmonic Becchi-Rouet-Stora-Tyutin method of quantizing bosonic systems with second-class constraints or first-class holomorphic constraints extends to systems having both bosonic and fermionic second-class or first-class holomorphic constraints. Using a limit argument, we show that the harmonic BRST modified path integral reproduces the correct Senjanovic measure.