Renormalizability of the center-vortex free sector of Yang-Mills theory

Abstract

In this work, we analyzed a recent proposal to detect $SU(N)$ continuum Yang-Mills sectors labeled by center vortices, inspired by Laplacian-type center gauges in the lattice. Initially, after the introduction of appropriate external sources, we obtained a rich set of sector-dependent Ward identities, which can be used to control the form of the divergences. Next, we were able to show the all-order multiplicative renormalizability of the center-vortex free sector. These are important steps towards the establishment of a first principles, well-defined, and calculable Yang-Mills ensemble.

arXiv comment17 pages. No figures. Final version accepted for publication at the Physical Review D

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• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism