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

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2767537· OSTI ID:21013595

Buchbinder, I L; Lavrov, P M ^[1]

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1. Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634041 (Russian Federation)

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.

• OSTI ID: 21013595
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATORS
GAUGE INVARIANCE
NONLINEAR PROBLEMS
POLYNOMIALS
QUANTUM FIELD THEORY