Renormalizability of a Yang-Mills center-vortex ensemble

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

doi:10.1103/PhysRevD.105.125015

Renormalizability of a Yang-Mills center-vortex ensemble

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

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2 Scopus citations

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 {Aμ} 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 {Aμ}, 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.

Original language	English
Article number	125015
Journal	Physical Review D
Volume	105
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.105.125015
State	Published - 15 Jun 2022
Externally published	Yes

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title = "Renormalizability of a 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 {Aμ} 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 {Aμ}, 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.",

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AU - Sobreiro, R. F.

PY - 2022/6/15

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AB - 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 {Aμ} 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 {Aμ}, 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.

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Renormalizability of a Yang-Mills center-vortex ensemble

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