# 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} }

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

### Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories

- MathematicsInternational Journal of Geometric Methods in Modern Physics
- 2021

The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge fixing mechanisms…

### Constrained BRST-BFV Lagrangian formulations for higher spin fields in Minkowski spaces

- PhysicsJournal of High Energy Physics
- 2018

A bstractBRST-BFV method to construct constrained Lagrangian formulations for (ir)reducible half-integer higher-spin Poincare group representations in Minkowski space is suggested. The procedure is…

### Non-Abelian gauge theories with composite fields in the background field method

- Physics
- 2020

Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green’s functions for a Yang–Mills theory with composite and background fields…

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