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

  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},
  • 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… 

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