On the finiteness of the BRS modulo-d cocycles

Abstract

Ladders of field polynomial differential forms obeying systems of descent equations and corresponding to observables and anomalies of gauge theories are renormalized. They obey renormalized descent equations. Moreover they are shown to have vanishing anomalous dimensions. As an application a simple proof of the nonrenormalization theorem for the nonabelian gauge anomaly is given.

21 p., UGVA-DPT 1992/03-759, Publ. in Nucl Phys. B381 (1992) 373

Cited by in corpus (17)

• Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
• Renormalization and finiteness of topological BF theories
• Renormalization of Non-Semisimple Gauge Models with the Background Field Method
• A Poincare lemma for sigma models of AKSZ type
• The Abelian Antighost Equation for The Standard Model in the `t Hooft-Background Gauge
• Constructive algebraic renormalization of the abelian Higgs-Kibble model
• Adler-Bardeen theorem and vanishing of the gauge beta function
• Infrared and Ultraviolet Finiteness of Topological BF Theory in Two Dimensions
• Algebraic Characterization of Vector Supersymmetry in Topological Field Theories
• Ghost condensates in Yang-Mills theories in the Landau gauge
• Algebraic renormalization of antisymmetric tensor matter fields
• Protected Operators in N=2,4 Supersymmetric Theories
• Conformal Symmetry and the Chiral Anomaly
• Classical and quantum aspects of the extended antifield formalism
• Refining the anomaly consistency condition
• An analysis on the convergence of equal-time commutators and the closure of the BRST algebra in Yang-Mills theories
• Background independence and the Adler-Bardeen theorem