Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents

Abstract A characteristic signature of quark confinement is the concentration of the chromoelectric field between a static quark–antiquark pair in a flux tube. However, the structure of this flux tube, and hence of the confining force, has not been completely understood. Here we perform new lattice...

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Main Authors: M. Baker, V. Chelnokov, L. Cosmai, F. Cuteri, A. Papa
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10848-2
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author M. Baker
V. Chelnokov
L. Cosmai
F. Cuteri
A. Papa
author_facet M. Baker
V. Chelnokov
L. Cosmai
F. Cuteri
A. Papa
author_sort M. Baker
collection DOAJ
description Abstract A characteristic signature of quark confinement is the concentration of the chromoelectric field between a static quark–antiquark pair in a flux tube. However, the structure of this flux tube, and hence of the confining force, has not been completely understood. Here we perform new lattice measurements of field distributions on smeared Monte Carlo ensembles in SU(3) gauge theory. On the basis of these simulations we demonstrate that the confining force can be understood using the analogy with the basic principles of electromagnetism as elucidated by Maxwell. We derive a chromomagnetic Lorentz force density coupling the chromoelectric field to chromomagnetic currents and integrate this force density over the flux tube interior to obtain a Maxwell-like force that squeezes the flux tube in the transverse direction. We show that the strength of this transverse confining force is equal to the value of the string tension calculated numerically from the chromoelectric field on the midplane between the quarks, verifying the consistency of these two complementary pictures of confinement.
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spelling doaj.art-8c29292fb9a14c34825b27853cd1a2972023-11-26T14:02:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-01821011110.1140/epjc/s10052-022-10848-2Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currentsM. Baker0V. Chelnokov1L. Cosmai2F. Cuteri3A. Papa4Department of Physics, University of WashingtonInstitut für Theoretische Physik, Goethe UniversitätINFN-Sezione di BariInstitut für Theoretische Physik, Goethe UniversitätDipartimento di Fisica, Università della CalabriaAbstract A characteristic signature of quark confinement is the concentration of the chromoelectric field between a static quark–antiquark pair in a flux tube. However, the structure of this flux tube, and hence of the confining force, has not been completely understood. Here we perform new lattice measurements of field distributions on smeared Monte Carlo ensembles in SU(3) gauge theory. On the basis of these simulations we demonstrate that the confining force can be understood using the analogy with the basic principles of electromagnetism as elucidated by Maxwell. We derive a chromomagnetic Lorentz force density coupling the chromoelectric field to chromomagnetic currents and integrate this force density over the flux tube interior to obtain a Maxwell-like force that squeezes the flux tube in the transverse direction. We show that the strength of this transverse confining force is equal to the value of the string tension calculated numerically from the chromoelectric field on the midplane between the quarks, verifying the consistency of these two complementary pictures of confinement.https://doi.org/10.1140/epjc/s10052-022-10848-2
spellingShingle M. Baker
V. Chelnokov
L. Cosmai
F. Cuteri
A. Papa
Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
European Physical Journal C: Particles and Fields
title Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
title_full Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
title_fullStr Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
title_full_unstemmed Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
title_short Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
title_sort unveiling confinement in pure gauge su 3 flux tubes fields and magnetic currents
url https://doi.org/10.1140/epjc/s10052-022-10848-2
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