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… 

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References

SHOWING 1-10 OF 85 REFERENCES

Comments on interactions in the SUSY models

We consider special supersymmetry (SUSY) transformations with m generators $$\overleftarrow{s}_\alpha ,$$s←α, for some class of models and study the physical consequences when making the

Field-dependent BRST-anti-BRST Lagrangian transformations

We continue our study of finite BRST–anti-BRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790 [hep-th] and arXiv:1406.0179 [hep-th]], with a doublet

On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field-antifield formalism is developed. It is

Local and BRST-invariant Yang-Mills theory within the Gribov horizon

We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies a la Gribov
...