Finite BRST-BFV transformations for dynamical systems with second-class constraints
Igor A. Batalin, Peter M. Lavrov, Igor V. Tyutin
TL;DR
This paper develops finite field dependent BRST-BFV transformations for systems with both first- and second-class constraints, providing explicit Jacobians and solutions for gauge-fixing changes in the path integral.
Contribution
It introduces explicit Jacobians and solutions for finite BRST-BFV transformations applicable to systems with mixed constraints, enhancing gauge-fixing flexibility.
Findings
Derived explicit Jacobians for finite transformations
Solved the compensation equation for gauge-fixing changes
Extended formalism to systems with second-class constraints
Abstract
We study finite field dependent BRST-BFV transformations for dynamical systems with first- and second-class constraints within the generalized Hamiltonian formalism. We find explicitly their Jacobians and the form of a solution to the compensation equation necessary for generating an arbitrary finite change of gauge-fixing functionals in the path integral.
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