Slavnov-Taylor parameterization of Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents

Abstract

We study the all-order restoration of the Slavnov-Taylor (ST) identities for Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents. By making use of the ST parameterization of the symmetric quantum effective action a natural set of normalization conditions is derived allowing to reduce the algebraic complexity of higher orders ST identities up to a homogeneous linear problem. Explicit formulas for the action-like part of the symmetric vertex functional are given to all orders in the loop expansion.

Latex, 30 pages. Final version published in the journal

References in corpus (3)

• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Regularization by Dimensional Reduction: Consistency, Quantum Action Principle, and Supersymmetry
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions

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• Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach