OPERATOR CUTOFF REGULARIZATION AND RENORMALIZATION-GROUP IN YANG-MILLS THEORY

The symmetry-preserving nature of the operator cutoff regularization a nd its analogy with the invariant Slavnov regularization are demonstra ted at one loop order for pure Yang-Mills theory. The presence of mome ntum cutoff scales in our regularization offers a direct application o f the Wilson-Kadanoff renormalization group to the theory. In particul ar, via the Schwinger-Dyson self-consistency argument, the one-loop pe rturbative 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 explori ng the influence of these operators as the strong coupling, infrared l imit is approached.