Operator cutoff regularization and renormalization group in Yang-Mills theory
- 15 October 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 56 (8) , 5008-5033
- https://doi.org/10.1103/physrevd.56.5008
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.Keywords
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