BRST-BFV method for nonstationary systems

TL;DR

This paper extends the BRST-BFV quantization method to nonstationary systems, including a reformulation of the two-dimensional rotor problem, providing a framework for quantizing time-dependent constrained systems.

Contribution

It generalizes the BRST-BFV method and Batalin-Tyutin approach to nonstationary systems, enabling their quantization within this formalism.

Findings

Successfully formulated the BRST-BFV method for nonstationary systems.

Calculated the propagator for a time-dependent two-dimensional rotor.

Demonstrated the applicability of the method to systems with time-dependent constraints.

Abstract

Starting from an associated reparametrization-invariant action, the generalization of the BRST-BFV method for the case of nonstationary systems is constructed. The extension of the Batalin-Tyutin conversional approach is also considered in the nonstationary case. In order to illustrate these ideas, the propagator for the time-dependent two-dimensional rotor is calculated by reformulating the problem as a system with only first class constraints and subsequently using the BRST-BFV prescription previously obtained.