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The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A color dielectric function G ∣ ϕ ∣ coupled with a Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after spontaneous symmetry breaking (SSB) of the gauge symmetry. The particles are expected to form through the quark-gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. The QCD-like vacuum η 2 m η 2 F μ ν F μ ν , confining potential V c r , string tension σ , penetration depth λ , superconducting and normal monopole densities ( n s n n ), and the effective masses ( m η 2 and m A 2 ) will be investigated at finite temperature T . We also calculate the strong “running” coupling α s and subsequently the QCD β -function. The dual superconducting nature of the QCD vacuum will be investigated based on monopole condensation.
The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A color dielectric function G ∣ ϕ ∣ coupled with a Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after spontaneous symmetry breaking (SSB) of the gauge symmetry. The particles are expected to form through the quark-gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. The QCD-like vacuum η 2 m η 2 F μ ν F μ ν , confining potential V c r , string tension σ , penetration depth λ , superconducting and normal monopole densities ( n s n n ), and the effective masses ( m η 2 and m A 2 ) will be investigated at finite temperature T . We also calculate the strong “running” coupling α s and subsequently the QCD β -function. The dual superconducting nature of the QCD vacuum will be investigated based on monopole condensation.
We build a new phenomenological framework that bridges the long wavelength bulk viscous transport properties of the strongly-coupled quark-gluon plasma (sQGP) and short distance hard jet transport properties in the QGP. The full nonperturbative chromo-electric (E) and chromo-magnetic (M) structure of the near "perfect fluid" like sQGP in the critical transition region are integrated into a semi-Quark-Gluon-Monopole Plasma (sQGMP) model lattice-compatibly and implemented into the new CUJET3.0 jet quenching framework. All observables computed from CUJET3.0 are found to be consistent with available data at RHIC and LHC simultaneously. A quantitative connection between the shear viscosity and jet transport parameter is rigorously established within this framework. We deduce the T = 160−600 MeV dependence of the QGP's η/s: its near vanishing value in the near T c regime is determined by the composition of E and M charges, it increases as T rises, and its high T limit is fixed by color screening scales.
Under the assumption of the Abelian dominance in QCD, we show that chiral condensate is locally present around a QCD monopole. The appearance of the chiral condensate around a GUT monopole was shown in the previous analysis of the Rubakov effect. We apply a similar analysis to the QCD monopole. It follows that the condensation of the monopole carrying the chiral condensate leads to the chiral symmetry breaking as well as quark confinement. To realize the result explicitly, we present a phenomenological linear sigma model coupled with the monopoles, in which the monopole condensation causes the chiral symmetry breaking as well as confinement. The monopoles are assumed to be described by a model of dual superconductor. Because the monopoles couple with mesons, we point out the presence of an observable color singlet monopole coupled with the mesons.PACS numbers: 12.38. Aw,11.30.Rd,12.38.Lg,12.39.Fe It has been shown with lattice gauge theories[1] that quark confinement and chiral symmetry breaking simultaneously arises in SU(3) gauge theory with massless quark color triplets. That is, the transition temperature between confinement and deconfinement phases almost coincides with the transition temperature between chiral symmetric and antisymmetric phases. Although extensive studies [2][3][4][5][6][7][8] have been performed, the explicit connection between the confinement and the chiral symmetry breaking has been still not clear. The confinement is caused by the monopole condensation [9][10][11] in the analysis with the use of maximal Abelian gauge [12]. On the other hand, the chiral symmetry breaking is caused by the chiral condensation of quark-antiquark pair. It arises with instanton effects through chiral anomaly. No theoretical relation between the monopole condensate and the chiral condensate is found, although there were numerical evidences[3] that the monopole condensates are correlated with the chiral condensates.In this paper we show that the chiral condensate is locally present around a QCD monopole. Thus, the monopole condensation leads to the chiral symmetry breaking. As we briefly explain below, when a massless fermion collides with a monopole, the fermion flips its chirality; the chirality is not conserved around a monopole. The flip of the chirality can arise owing to the presence of the local chiral condensate around a monopole. The fact was shown in previous analyses [13][14][15] of Rubakov effect where massless fermions scattering with a monopole in grand unified theories ( GUT monopole ) was explored. Although the main purpose of the analyses was to show the presence of the Rubakov effect, that is, the baryon decay, the presence of the chiral condensate was also shown as a by-product.The GUT monopoles discussed in the Rubakov effect are ones arising in grand unified theories in which SU(2) gauge subgroup is broken into U(1) gauge group by a Higgs triplet. They are 'tHooft-Polyakov monopoles [16]. The effect was studied in SU(2) gauge theory with the monopole excitations. ( The monopoles result ...
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