Aug 2 – 6, 2021
Europe/Brussels timezone

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

Aug 5, 2021, 9:20 AM


Parallel contribution A: Vacuum structure and confinement Parallels Focus Subsection


David Rosa Junior (University of Tübingen, Fluminense Federal University)


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.

Primary authors

David Rosa Junior (University of Tübingen, Fluminense Federal University) Prof. Rodrigo F. Sobreiro (Fluminense Federal University) Dr Diego Fiorentini (Fluminense Federal University) Prof. Luis E. Oxman (Fluminense Federal University)

Presentation materials