On the BFFT quantization of first order systems

Abstract

By using the field-antifield formalism, we show that the method of Batalin, Fradkin, Fradkina and Tyutin to convert Hamiltonian systems submitted to second class constraints introduces compensating fields which do not belong to the BRST cohomology at ghost number one. This assures that the gauge symmetries which arise from the BFFT procedure are not obstructed at quantum level. An example where massive electrodynamics is coupled to chiral fermions is considered. We solve the quantum master equation for the model and show that the respective counterterm has a decisive role in extracting anomalous expectation values associated with the divergence of the Noether chiral current.

18 pages, LaTeX, no figures, to appear in Journal of Mathematical Physics

References in corpus (3)

• Hamiltonian embedding of the massive Yang-Mills theory and the generalized Stückelberg formalism
• BFFT quantization with nonlinear constraints
• Anomalous Global Currents and Compensating Fields in the BV Formalism

Cited by in corpus (5)

• Non-Trivial Ghosts and Second Class Constraints
• Modified gauge unfixing formalism and gauge symmetries in the non-commutative chiral bosons theory
• Covariant Gauge Fixing and Canonical Quantization
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold
• Hamiltonian and Lagrangian BRST quantization in Riemann Manifold II