Generalization of Faddeev–Popov rules in Yang–Mills theories: N = 3,4 BRST symmetries

DOI10.1142/S0217751X18500069zbMath1431.81100arXiv1701.00009OpenAlexW3099342669MaRDI QIDQ3133596

Alexander A. Reshetnyak

Publication date: 5 February 2018

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00009

zbMATH Keywords

Yang-Mills theoryWard identitiesgauge invariancefunctional integralBRST symmetryZinn-Justin equationextended BRST symmetryLagrangian quantization\(N = 3\) and \(N = 4\) BRST transformationsdiagrammatic Feynman techniqueFaddeev-Popov rulesfinite BRST transformationsgauge dependence problemGribov-Zwanziger model with nonperturbative BRST invarianceSlavnov generator

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Quantization in field theory; cohomological methods (81T70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Geometry and topology of anti-BRST symmetry in quantized Yang–Mills gauge theories

Cites Work

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• Hamiltonian superfield formalism with \(N\) supercharges
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• FADDEEV–POPOV GHOSTS
• Erratum: Covariant quantization of gauge theories in the framework of extended BRST symmetry [J. Math. Phys. 3 1, 1487 (1990)]
• A systematic study of finite field-dependent BRST-BV transformations in Sp(2) extended field–antifield formalism
• Harmonic Superspace
• Quantization of relativistic systems with constraints

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