BRST-BFV quantization and the Schwinger action principle
J. Antonio Garcia, J. David Vergara, Luis F. Urrutia
TL;DR
This paper develops an operator-based BRST-BFV effective action framework, applying the Schwinger action principle to compute propagators for various constrained systems while ensuring BRST invariance and proper treatment of boundary terms.
Contribution
It introduces an operator formulation of the BRST-BFV effective action and demonstrates its application to different relativistic particle models using the Schwinger action principle.
Findings
Successfully computes propagators for constrained systems
Ensures BRST invariance at boundaries
Incorporates boundary terms for fermionic variables
Abstract
We introduce an operator version of the BRST-BFV effective action for arbitrary systems with first-class constraints. Using the Schwinger action principle we calculate the propagators corresponding to: (i) the parametrized non-relativistic free particle, (ii) the relativistic free particle and (iii) the spining relativistic free particle. Our calculation correctly imposes the BRST-invariance at the end-points. The precise use of the additional boundary terms required in the description of fermionic variables is also incorporated.
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