Operator cutoff regularization and renormalization group in Yang-Mills theory

Abstract

The symmetry-preserving nature of the operator cutoff regularization and its analogy with the invariant Slavnov regularization are demonstrated at one loop order for pure Yang-Mills theory. The presence of momentum cutoff scales in our regularization offers a direct application of the Wilson-Kadanoff renormalization group to the theory. In particular, via the Schwinger-Dyson self-consistency argument, the one-loop perturbative equation is dressed into a nonlinear renormalization group evolution equation which takes into consideration the contributions of higher dimensional operators and provides a systematic way of exploring the influence of these operators as the strong coupling, infrared limit is approached.