BRST Analysis and BFV Quantization of the Generalized Quantum Rigid Rotor
Abstract
We identify a strong similarity among several distinct originally second-class systems, including both mechanical and field theory models, which can be naturally described in a gauge-invariant way. The canonical structure of such related systems is encoded into a gauge-invariant generalization of the quantum rigid rotor. We pursue the BRST symmetry analysis and the BFV functional quantization for the mentioned gauge-invariant version of the generalized quantum rigid rotor. We obtain different equivalent effective actions according to specific gauge-fixing choices, showing explicitly their BRST symmetries. We apply and exemplify the ideas discussed to two particular models, namely, motion along an elliptical path and the nonlinear sigma model, showing that our results reproduce and connect previously unrelated known gauge-invariant systems.
Cite
@article{arxiv.2008.06817,
title = {BRST Analysis and BFV Quantization of the Generalized Quantum Rigid Rotor},
author = {Ronaldo Thibes},
journal= {arXiv preprint arXiv:2008.06817},
year = {2021}
}