On the Batalin, Fradkin, Fradkina, and Tyutin 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.

Hamiltonian and Lagrangian BRST Quantization in Riemann Manifold

“…These symmetry transformations are same as the one obtained in [68]. It can be shown, on the basis of argument given in ref [89] that enlarged symmetries due to compensating fields (BFFT variables) are not anomalous. These fields plays non-trivial role at the quantum level because the existence of a counter-term modify expectation values of relevant physical quantities.…”

“…The result has been verified using simple example of particle on torus [81][82][83][84]. At the end we will construct BRST transformation of the system using Batalin-Vilkovisky (BV) quantization method [86][87][88][89]. This is the first part of the two part manuscript.…”

“…We will perform the quantization of system described above along the field-antifield formalism [86][87][88] for BFFT system discussed in ref [89]. To do so we will introduce antifields ϕ…”

Hamiltonian and Lagrangian BRST quantization in Riemann Manifold

“…The result has been verified using a simple example of particle on torus [14]. At the end we will construct BRST transformation of the system using Batalin-Vilkovisky (BV) quantization [15,16]. This is the first part of the two part paper.…”

“…We will perform the quantization of system described above along the field-antifield formalism for BFFT system discussed in ref [15,16]. To do so we will introduce antifields φ…”