Renormalizability of center-vortex sectors in continuum Yang-Mills theory

Recently, a novel approach to quantize SU(N) Yang-Mills theory was proposed, where the configuration space {Aμ} is split into sectors labeled by topological defects, and then the gauge is fixed by a sector dependent condition. As the procedure is local in {Aμ}, it could be free from Gribov copies. In this work, we review the renormalizability of sectors labeled by an arbitrary number of elementary center vortices.