# Generalization of Faddeev--Popov Rules in Yang--Mills Theories: N=3,4 BRST Symmetries

@article{Reshetnyak2018GeneralizationOF,
title={Generalization of Faddeev--Popov Rules in Yang--Mills Theories: N=3,4 BRST Symmetries},
author={Alexander A. Reshetnyak},
journal={International Journal of Modern Physics A},
year={2018},
volume={33},
pages={1850006}
}
• A. Reshetnyak
• Published 30 December 2016
• Mathematics, Physics
• International Journal of Modern Physics A
The Faddeev–Popov rules for a local and Poincare-covariant Lagrangian quantization of a gauge theory with gauge group are generalized to the case of an invariance of the respective quantum actions, S(N), with respect to N-parametric Abelian SUSY transformations with odd-valued parameters λp, p = 1,…,N and generators sp: spsq + sqsp = 0, for N = 3, 4, implying the substitution of an N-plet of ghost fields, Cp, instead of the parameter, ξ, of infinitesimal gauge transformations: ξ = Cpλ p. The…
3 Citations

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