Renormalizability of a first principles Yang-Mills center-vortex ensemble

Abstract

Recently, a new procedure to quantize the $SU(N)$ Yang-Mills theory in the nonperturbative regime was proposed. The idea is to divide the configuration space $\{A_{\mu }\}$ into sectors labeled by different topological degrees of freedom and fix the gauge separately on each one of them. As Singer's theorem on gauge copies only refers to gauge fixing conditions that are global in $\{A_{\mu }\}$, this construction might avoid the Gribov problem. In this work, we present a proof of the renormalizability in the center-vortex sectors, thus establishing the calculability of the Yang-Mills center-vortex ensemble.

References in corpus (3)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Confinement of quarks and valence gluons in SU(N) Yang-Mills-Higgs models
• From center-vortex ensembles to the confining flux tube

Cited by in corpus (3)

• The infrared Yang-Mills wave functional due to percolating center vortices
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism