Hamiltonian BRST-anti-BRST Theory

TL;DR

This paper develops a Hamiltonian BRST-anti-BRST framework for arbitrary reducible first class systems, extending homological perturbation methods to biresolutions and establishing connections with existing formalisms.

Contribution

It introduces a biresolution approach to Hamiltonian BRST-anti-BRST theory, demonstrating the existence of generators and linking with standard and covariant formalisms.

Findings

Existence of BRST and anti-BRST generators confirmed

Extended homological perturbation to biresolutions

Connections established with standard BRST and sp(2) formalisms

Abstract

The hamiltonian BRST-anti-BRST theory is developed in the general case of arbitrary reducible first class systems. This is done by extending the methods of homological perturbation theory, originally based on the use of a single resolution, to the case of a biresolution. The BRST and the anti-BRST generators are shown to exist. The respective links with the ordinary BRST formulation and with the $ sp(2) $-covariant formalism are also established.