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An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature
High Energy Physics - Phenomenology · Submitted 3 May 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A color dielectric function $G(|\phi|)$ coupled with Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after {\it spontaneous symmetry breaking} (SSB) of the gauge symmetry. The particles are expected to form through quark gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. The QCD-like vacuum $\langle\eta^2m_\eta^2F^{\mu\nu}F_{\mu\nu}\rangle$, confining potential $V_c(r)$, string tension $\sigma$, penetration depth $\lambda$, superconducting and normal monopole densities ($n_s\,n_n$) and the effective masses ($m_\eta^{2}$ and $m_A^{2}$) will be investigated at finite temperature $T$. We also calculate the strong `running' coupling $\alpha_s$ and subsequently the QCD $\beta$-function. {\it Dual superconducting} nature of the QCD vacuum will be investigated based on monopole condensation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. | background 0.56 | 0.18 | 0.22 | asserted 1.00 |
| s1 | A color dielectric function $G(|\phi|)$ coupled with Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after {\it spontaneous symmetry breaking} (SSB) of the gauge symmetry. | method 0.87 | 0.60 | 0.10 | asserted 0.96 |
| s2 | The particles are expected to form through quark gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. | background 0.96 | 0.08 | 0.05 | hedged possibility 0.94 |
| s3 | The QCD-like vacuum $\langle\eta^2m_\eta^2F^{\mu\nu}F_{\mu\nu}\rangle$, confining potential $V_c(r)$, string tension $\sigma$, penetration depth $\lambda$, superconducting and normal monopole densities ($n_s\,n_n$) and the effective masses ($m_\eta^{2}$ and $m_A^{2}$) will be investigated at finite temperature $T$. | contribution 0.97 | 0.57 | 0.09 | asserted 0.72 |
| s4 | We also calculate the strong `running' coupling $\alpha_s$ and subsequently the QCD $\beta$-function. {\it Dual superconducting} nature of the QCD vacuum will be investigated based on monopole condensation. | contribution 0.93 | 0.91 | 0.20 | asserted 0.96 |
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The paper
Original abstract
The glueballs lead to gluon and QCD monopole condensations as by-products of color confinement. A color dielectric function $G(|\phi|)$ coupled with Abelian gauge field is properly defined to mediate the glueball interactions at confining regime after {\it spontaneous symmetry breaking} (SSB) of the gauge symmetry. The particles are expected to form through quark gluon plasma (QGP) hadronization phase where the free quarks and gluons start clamping together to form hadrons. The QCD-like vacuum $\langle\eta^2m_\eta^2F^{\mu\nu}F_{\mu\nu}\rangle$, confining potential $V_c(r)$, string tension $\sigma$, penetration depth $\lambda$, superconducting and normal monopole densities ($n_s\,n_n$) and the effective masses ($m_\eta^{2}$ and $m_A^{2}$) will be investigated at finite temperature $T$. We also calculate the strong `running' coupling $\alpha_s$ and subsequently the QCD $\beta$-function. {\it Dual superconducting} nature of the QCD vacuum will be investigated based on monopole condensation.
Human review
How the literature uses it
2 arXiv papers cite this in 10 sentences
Papers citing it · 8 sentences without a confident label
Uses its data or values 1 paper
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From QCD lattice simulations results, QCD sum rule and QCD phenomenology, the lightest scalar glueball mass with quantum number $J^PC = 0^++$ and frequency $f_0(1710)$, has been determined to be $m_ϕ = 1.73 GeV$ [ref] (and references therein).
Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space · Analysis · 0.88
Compares with it 1 paper
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Similar relations have been reached in Refs. [ref] to be $m_A = m_ϕ/2$, using models with color dielectric function.
Tachyonic AdS/QCD, Determining the Strong Running Coupling and \beta-function in both UV and IR Regions of AdS Space · Analysis · 0.92
What it cites · 41 sentences without a confident label
Uses the method or tool of 3 papers
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We are also now setting $G(η)=ξ^2V(η)$ (similar process was adopted in Ref. [ref] ), where $ξ^2$ is a dimensionful constant associated with the Regge slope $(2πα')^2$ that absorbs the dimensionality of $V(η)$, so $G(η)$ remains dimensionless and Eq. ([ref]) reads [equation] In the last step, we have assumed that the particles are far away from the charge source $q$, and in such a limit terms of the order $O(1/r^4)$ can be disregarded.
The (de)-confinement transition in tachyonic matter at finite temperature · Confinement · 0.90
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We are also now setting $G(η)=ξ^2V(η)$ (similar process was adopted in Ref. [ref] ), where $ξ^2$ is a dimensionful constant associated with the Regge slope $(2πα')^2$ that absorbs the dimensionality of $V(η)$, so $G(η)$ remains dimensionless and Eq. ([ref]) reads [equation] In the last step, we have assumed that the particles are far away from the charge source $q$, and in such a limit terms of the order $O(1/r^4)$ can be disregarded.
Confinement of fermions in tachyon matter · Confinement · 0.90
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We are also now setting $G(η)=ξ^2V(η)$ (similar process was adopted in Ref. [ref] ), where $ξ^2$ is a dimensionful constant associated with the Regge slope $(2πα')^2$ that absorbs the dimensionality of $V(η)$, so $G(η)$ remains dimensionless and Eq. ([ref]) reads [equation] In the last step, we have assumed that the particles are far away from the charge source $q$, and in such a limit terms of the order $O(1/r^4)$ can be disregarded.
Confinement of Fermions in Tachyon Matter at Finite Temperature · Confinement · 0.90
Uses data or values from 1 paper
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Its value estimated from sum rule for gluon condensate is $0.006±0.012 GeV^4$ [ref] and the Bag model is also quoted as $(145)^4 MeV^4$.
Condensates in Quantum Chromodynamics · Analysis · 0.99
Compares with 4 papers
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Therefore, the approach adopted in this paper accounts for the temperature corrections to both the glueball field $⟨Δ^2⟩$ in Eq.([ref]) and the gauge field $⟨F^μνF_μν⟩$, while in Ref. [ref] only the thermal correction to the scalar field $⟨ϕ_T^2⟩$ was considered.
The (de)-confinement transition in tachyonic matter at finite temperature · Gluon Condensation · 0.98
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However, most of the results on QCD lattice calculations point to a temperature correction of order $-T^2$ to the string tension [ref] meanwhile, the model proposes correction in order of $-T^4$ in Eq.([ref]).
Heavy Quark Potentials in Quenched QCD at High Temperature · Conclusion · 0.89
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Now, comparing $λ$ with the results in Refs. [ref] , where [equation] we rearrange the expression obtained for $λ$ in the model framework, [equation] to make it suitable for comparison.
Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory · Dual Superconductivity · 0.99
Cites as background 9 papers
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The involvement of monopoles in chiral symmetry has recently been investigated as well [ref] .
Chiral symmetry breaking and monopoles in gauge theories · Introduction · 0.80
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There are several works on nonzero isospin chemical potential ($μ_I$) and baryon chemical potential ($μ_B$) in pion condensation [ref] and they are related to the two flavor quarks that constitute the pions as $μ_I=(μ_u-μ_d)/2$ and $μ_B=(μ_u+μ_d)/2$ respectively.
Numerical Portrait of a Relativistic BCS Gapped Superfluid · Dual Superconductivity · 0.89
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There are several works on nonzero isospin chemical potential ($μ_I$) and baryon chemical potential ($μ_B$) in pion condensation [ref] and they are related to the two flavor quarks that constitute the pions as $μ_I=(μ_u-μ_d)/2$ and $μ_B=(μ_u+μ_d)/2$ respectively.
Ladder-QCD at finite isospin chemical potential · Dual Superconductivity · 0.89
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