Higher-order non-symmetric counterterms in pure Yang-Mills theory

Abstract

We analyze the restoration of the Slavnov-Taylor (ST) identities for pure massless Yang-Mills theory in the Landau gauge within the BPHZL renormalization scheme with IR regulator. We obtain the most general form of the action-like part of the symmetric regularized action, obeying the relevant ST identities and all other relevant symmetries of the model, to all orders in the loop expansion. We also give a cohomological characterization of the fulfillment of BPHZL IR power-counting criterion, guaranteeing the existence of the limit where the IR regulator goes to zero. The technique analyzed in this paper is needed in the study of the restoration of the ST identities for those models, like the MSSM, where massless particles are present and no invariant regularization scheme is known to preserve the full set of ST identities of the theory.

Final version published in the journal

References in corpus (5)

• Renormalization of the Minimal Supersymmetric Standard Model
• The Algebraic Method
• BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting ${\gamma }_5$
• Slavnov-Taylor Parameterization for the Quantum Restoration of BRST Symmetries in Anomaly-Free Gauge Theories
• Refined chiral Slavnov-Taylor identities: Renormalization and Local Physics

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• Slavnov-Taylor parameterization of Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents
• Path-integral over non-linearly realized groups and Hierarchy solutions
• BPHZ renormalization and its application to non-commutative field theory
• Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
• Gauge Fields on Non-Commutative Spaces and Renormalization