A systematic study of finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism

TL;DR

This paper systematically analyzes finite BRST-BFV transformations within the $Sp(2)$-extended Hamiltonian formalism, deriving their Jacobians and solutions to the compensation equation for gauge-fixing changes.

Contribution

It provides explicit formulas for Jacobians and solutions to the compensation equation, advancing the understanding of finite BRST-BFV transformations in extended Hamiltonian formalisms.

Findings

Explicit Jacobians for finite BRST-BFV transformations.

Solutions to the compensation equation for gauge-fixing changes.

Framework for generating finite gauge transformations in Hamiltonian formalism.

Abstract

We study systematically finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate arbitrary finite change of gauge-fixing functions in the path integral.