Classical Becchi-Rouet-Stora-Tyutin charge for nonlinear algebras

We study the construction of the classical nilpotent canonical Becchi-Rouet-Stora-Tyutin (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. Such a polynomial is characterized by the coe...

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Bibliographic Details
Published in:Journal of mathematical physics 2007-08, Vol.48 (8), p.082306-082306-15
Main Authors: Buchbinder, I. L., Lavrov, P. M.
Format: Article
Language:English
Subjects:
ALGEBRA
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMMUTATORS
GAUGE INVARIANCE
Nonlinear equations
NONLINEAR PROBLEMS
Physics
POLYNOMIALS
QUANTUM FIELD THEORY
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Summary:We study the construction of the classical nilpotent canonical Becchi-Rouet-Stora-Tyutin (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. Such a polynomial is characterized by the coefficients forming a set of higher order structure constraints. Assuming the set of constraints to be linearly independent, we find the restrictions on the structure constraints when the nilpotent BRST charge can be written in a simple and universal form. In the case of quadratically nonlinear algebras, we find the expression for third order contribution in the ghost fields to the BRST charge without the use of any additional restrictions on the structure constants.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2767537