The QCD Vacuum as a Disordered Chromomagnetic Condensate

An attempt is made to describe from first principles the large-scale structure of the confining vacuum in quantum chromodynamics. Starting from our previous variational studies of the SU(2) pure gauge theory in an external Abelian chromomagnetic field and extending Feynman’s qualitative analysis in...

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Main Author: Paolo Cea
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/10/3/111
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author Paolo Cea
author_facet Paolo Cea
author_sort Paolo Cea
collection DOAJ
description An attempt is made to describe from first principles the large-scale structure of the confining vacuum in quantum chromodynamics. Starting from our previous variational studies of the SU(2) pure gauge theory in an external Abelian chromomagnetic field and extending Feynman’s qualitative analysis in (2+1)-dimensional SU(2) gauge theory, we show that the SU(3) vacuum in three-space and one-time dimensions behaves like a disordered chromomagnetic condensate. Color confinement is assured by the presence of a mass gap together with the absence of color long-range correlations. We offer a clear physical picture for the formation of the flux tube between static quark charges that allows us to determine the color structure and the transverse profile of the flux-tube chromoelectric field. The transverse profile of the flux-tube chromoelectric field turns out to be in reasonable agreement with lattice data. We, also, show that our quantum vacuum allows for both the color and ordinary Meissner effect. We find that for massless quarks, the quantum vacuum can accommodate a finite non-zero density of fermion zero modes leading to the dynamical breaking of the chiral symmetry.
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spelling doaj.art-dd5026b7ef8e4ccf865b56503cd9f1eb2024-03-27T14:06:37ZengMDPI AGUniverse2218-19972024-02-0110311110.3390/universe10030111The QCD Vacuum as a Disordered Chromomagnetic CondensatePaolo Cea0INFN, Sezione di Bari, Via G. Amendola 176, 70126 Bari, ItalyAn attempt is made to describe from first principles the large-scale structure of the confining vacuum in quantum chromodynamics. Starting from our previous variational studies of the SU(2) pure gauge theory in an external Abelian chromomagnetic field and extending Feynman’s qualitative analysis in (2+1)-dimensional SU(2) gauge theory, we show that the SU(3) vacuum in three-space and one-time dimensions behaves like a disordered chromomagnetic condensate. Color confinement is assured by the presence of a mass gap together with the absence of color long-range correlations. We offer a clear physical picture for the formation of the flux tube between static quark charges that allows us to determine the color structure and the transverse profile of the flux-tube chromoelectric field. The transverse profile of the flux-tube chromoelectric field turns out to be in reasonable agreement with lattice data. We, also, show that our quantum vacuum allows for both the color and ordinary Meissner effect. We find that for massless quarks, the quantum vacuum can accommodate a finite non-zero density of fermion zero modes leading to the dynamical breaking of the chiral symmetry.https://www.mdpi.com/2218-1997/10/3/111confinementflux tubechiral symmetry breakinglattice gauge theory
spellingShingle Paolo Cea
The QCD Vacuum as a Disordered Chromomagnetic Condensate
Universe
confinement
flux tube
chiral symmetry breaking
lattice gauge theory
title The QCD Vacuum as a Disordered Chromomagnetic Condensate
title_full The QCD Vacuum as a Disordered Chromomagnetic Condensate
title_fullStr The QCD Vacuum as a Disordered Chromomagnetic Condensate
title_full_unstemmed The QCD Vacuum as a Disordered Chromomagnetic Condensate
title_short The QCD Vacuum as a Disordered Chromomagnetic Condensate
title_sort qcd vacuum as a disordered chromomagnetic condensate
topic confinement
flux tube
chiral symmetry breaking
lattice gauge theory
url https://www.mdpi.com/2218-1997/10/3/111
work_keys_str_mv AT paolocea theqcdvacuumasadisorderedchromomagneticcondensate
AT paolocea qcdvacuumasadisorderedchromomagneticcondensate