BRST charge for nonlinear algebras
I.L. Buchbinder, P.M. Lavrov
TL;DR
This paper develops a method to construct the classical nilpotent BRST charge for nonlinear gauge algebras characterized by polynomial commutators of constraints.
Contribution
It introduces a systematic approach to build the BRST charge for nonlinear algebras with polynomial constraint relations.
Findings
Successfully constructs BRST charges for specific nonlinear algebras.
Provides a framework applicable to a class of nonlinear gauge theories.
Enhances understanding of gauge symmetry quantization in complex systems.
Abstract
We study the construction of the classical nilpotent canonical BRST charge for the nonlinear gauge algebras where a commutator (in terms of Poisson brackets) of the constraints is a finite order polynomial of the constraints.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Black Holes and Theoretical Physics