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arXiv · 2002.02343

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

D. Fiorentini·D. R. Junior·L. E. Oxman·R. F. Sobreiro
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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.

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D. Fiorentini, D. R. Junior, L. E. Oxman, R. F. Sobreiro. 2020-02-06. Renormalizability of the center-vortex free sector of Yang-Mills theory. https://doi.org/10.1103/physrevd.101.085007

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