High Energy Physics - Phenomenology · arXiv:hep-ph/0311268 v2 · submitted 21 Nov 2003
Mesonic correlation lengths in high-temperature QCD
The paper says
“We determine the latter following analogies with the NRQCD effective theory, used for the study of heavy quarkonia at zero temperature: we find (for the quenched case) \xi^-1 = 2 \pi T + 0.1408 g^2 T, and compare with lattice results.”
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Abstract
We consider spatial correlation lengths \xi for various QCD light quark bilinears at temperatures above a few hundred MeV. Some of the correlation lengths (such as that related to baryon density) coincide with what has been measured earlier on from glueball-like states; others do not couple to glueballs, and have a well-known perturbative leading-order expression as well as a computable next-to-leading-order correction. We determine the latter following analogies with the NRQCD effective theory, used for the study of heavy quarkonia at zero temperature: we find (for the quenched case) \xi^-1 = 2 \pi T + 0.1408 g^2 T, and compare with lattice results. One manifestation of U_A(1) symmetry non-restoration is also pointed out.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.94 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We consider spatial correlation lengths \xi for various QCD light quark bilinears at temperatures above a few hundred MeV. | contribution 0.79 | 0.38 | 0.05 | asserted 0.72 |
| Some of the correlation lengths (such as that related to baryon density) coincide with what has been measured earlier on from glueball-like states; others do not couple to glueballs, and have a well-known perturbative leading-order expression as well as a computable next-to-leading-order correction. | result 0.92 | 0.20 | 0.25 | asserted 0.98 |
| We determine the latter following analogies with the NRQCD effective theory, used for the study of heavy quarkonia at zero temperature: we find (for the quenched case) \xi^{-1} = 2 \pi T + 0.1408 g^2 T, and compare with lattice results. | result 0.79 | 0.96 | 0.40 | asserted 1.00 |
| One manifestation of U_A(1) symmetry non-restoration is also pointed out. | result 0.69 | 0.61 | 0.10 | asserted 0.83 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.76
What was examined, and what was not
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- arXiv listing abstract v2
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,752 input tokens, $0.0002 reported.
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Cited by 14 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Real-time static potential in hot QCD hep-ph · Nov 2006
- Z(3)-symmetric effective theory for SU(3) Yang-Mills theory at high temperature hep-ph · Apr 2006
- Two-loop QCD gauge coupling at high temperatures hep-ph · Mar 2005
- Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures hep-lat · Jan 2025
- Robust approach to thermal resummation: Standard Model meets a singlet hep-ph · Feb 2021
- Meson Screening Masses in (2+1)-Flavor QCD hep-lat · Aug 2019
- Can quarkonia survive deconfinement ? hep-ph · May 2007
- Chiral spin symmetry and the QCD phase diagram hep-ph · Apr 2022
- On the strength of the $U_A(1)$ anomaly at the chiral phase transition in $N_f=2$ QCD hep-lat · Aug 2016
- In-medium modifications of open and hidden strange-charm mesons from spatial correlation functions hep-lat · Nov 2014
- Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model nucl-th · Jul 2019
- Axial $U(1)$ Symmetry Breaking in Hot QCD: From Topology to the Chiral Phase Transition nucl-th · Sep 2026
- Non-perturbative thermal QCD at very high temperatures: computational strategy and hadronic screening masses hep-lat · Nov 2024
- Lattice QCD at non-zero temperature hep-lat · Mar 2012
How the literature uses it
18 arXiv papers cite this in 44 sentences
Papers citing it · 27 sentences without a confident label
Uses its method or tool 3 papers
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If the radial coordinate is normalized to inverse electric mass r̂= r M_E one get effective Schreodinger equation (eqn (6.15) of [ref] ) which has the form -ψ”-1x ψ'+ρ(log(x/2)+γ_E-K_0(x) )ψ =Ê_0 ψNote that the coefficient in front of the potential
Mesonic "screening masses" in high temperature QCD · Theory of the 2+1-dimensional “quarkonium" · 0.96
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[ref] and [ref], [equation] and $ρ$ is a re-parametrization of the dimensionful quantities of the problem [ref] , [equation]
Baryonic thermal screening mass at NLO · Numerical solution · 0.93
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Using non-relativistic approximation i.e. expanding in powers of $𝒪(1/M)$ [ref] one obtains the NRQCD Lagrangian that denotes the dynamics of a fermion-like excitations.
The spatial string tension and its effects on screening correlators in a thermal QCD plasma · Derivation of spin dependent potential · 0.88
Uses its data or values 2 papers
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The renormalized mass has been calculated within EQCD [ref] as $M=πT+g^2 T/8 πC_F+𝒪(g^4T)$.
The spatial string tension and its effects on screening correlators in a thermal QCD plasma · Details of Screening Mass calculation · 0.92
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The value of $p_2$ is fixed by the EQCD calculation [ref] , while $p_3,p_4,s_4$ are not yet known analytically and consequently fitted to the lattice data.
Chiral spin symmetry and hot/dense QCD · Screening masses and the equation of state · 0.98
Compares with it 4 papers
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The coefficient of the $𝒪(g^2)$ term is consistent with the perturbative estimate ($0.01688$) [ref] but non-perturbative interactions which contribute at $𝒪(g^4)$ is also of the same magnitude with opposite sign.
The spatial string tension and its effects on screening correlators in a thermal QCD plasma · Introduction · 0.85
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Also shown is the leading perturbative result $∼2πT$, corresponding to the Matsubara modes of two free quarks, and the first correction $∼g^2$ evaluated within EQCD [ref] .
Chiral spin symmetry and the QCD phase diagram · Meson screening masses · 0.89
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For comparison, we note that an analogous computation for the mesonic screening masses yields a $∼3%$ positive correction in the static sector [ref] ,
Baryonic thermal screening mass at NLO · Conclusions · 0.99
Cites it as background 5 papers
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In Sec. [ref], we review the argument of [ref] for $(1)_A$ violation at high temperature.
U(1) axial symmetry and Dirac spectra in QCD at high temperature · Introduction · 0.91
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Originally established for non-Abelian gauge theories [ref] , the formalism was generalised in the mid-1990s [ref] and simultaneously successful in hot QCD [ref] as reviewed in [ref] .
Robust approach to thermal resummation: Standard Model meets a singlet · Introduction · 0.92
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The complete $O(g^2_ T)$ correction to flavour non-singlet mesonic screening masses was determined a long time ago, in the framework of a dimensionally reduced effective theory [ref] .
Baryonic thermal screening mass at NLO · Introduction · 0.83
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