From Center-Vortex Ensembles to the Confining Flux Tube

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivatio...

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Main Authors: David R. Junior, Luis E. Oxman, Gustavo M. Simões
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/8/253
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author David R. Junior
Luis E. Oxman
Gustavo M. Simões
author_facet David R. Junior
Luis E. Oxman
Gustavo M. Simões
author_sort David R. Junior
collection DOAJ
description In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.
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spelling doaj.art-7069552d8035476c841853331d2f44142023-11-22T10:05:12ZengMDPI AGUniverse2218-19972021-07-017825310.3390/universe7080253From Center-Vortex Ensembles to the Confining Flux TubeDavid R. Junior0Luis E. Oxman1Gustavo M. Simões2Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea, s/n, Niterói 24210-340, BrazilInstituto de Física, Universidade Federal Fluminense, Avenida Litorânea, s/n, Niterói 24210-340, BrazilInstituto de Física, Universidade Federal Fluminense, Avenida Litorânea, s/n, Niterói 24210-340, BrazilIn this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.https://www.mdpi.com/2218-1997/7/8/253confinementensembles and effective fieldstopological solitons
spellingShingle David R. Junior
Luis E. Oxman
Gustavo M. Simões
From Center-Vortex Ensembles to the Confining Flux Tube
Universe
confinement
ensembles and effective fields
topological solitons
title From Center-Vortex Ensembles to the Confining Flux Tube
title_full From Center-Vortex Ensembles to the Confining Flux Tube
title_fullStr From Center-Vortex Ensembles to the Confining Flux Tube
title_full_unstemmed From Center-Vortex Ensembles to the Confining Flux Tube
title_short From Center-Vortex Ensembles to the Confining Flux Tube
title_sort from center vortex ensembles to the confining flux tube
topic confinement
ensembles and effective fields
topological solitons
url https://www.mdpi.com/2218-1997/7/8/253
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