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Dynamical correlations across momentum scales in the quark-gluon plasma
Nuclear Theory · Submitted 11 Dec 2025
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These novel, experimentally accessible observables provide unique insight into dynamical correlations across momentum scales in the QGP.
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The abstract, sentence by sentence
Experimental probes of the Quark-Gluon Plasma (QGP) generated in heavy-ion collisions span a broad range in momentum scale: low transverse momentum (low $p_T$) measurements probe collective dynamics, while high $p_T$ measurements probe the response to QGP excitation by jets (jet quenching). However, the dynamical interplay between QGP collective dynamics and jet quenching is currently poorly understood. We present a new framework for exploring dynamical correlations across momentum scales in heavy-ion collisions, based on the $p_T$-differential radial-flow observable $v_0(p_T)$. Measured $v_0(p_T)$ phenomenology is traced to the evolution in strength and coherence of distinct underlying fluctuation modes. We then propose new experimental observables to quantify this evolution. The eigenvalue spectrum of the reference-aligned covariance matrix $V_0$ characterizes the effective fluctuation rank, while the ratio $\lambda_1/\lambda_2$ provides a compact measure of the leading departure from single-mode behavior. The $p_T$-dependence of the corresponding eigenvectors then maps the evolution from a single coherent soft mode to multi-mode dynamics including coalescence and jet quenching. These novel, experimentally accessible observables provide unique insight into dynamical correlations across momentum scales in the QGP.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Experimental probes of the Quark-Gluon Plasma (QGP) generated in heavy-ion collisions span a broad range in momentum scale: low transverse momentum (low $p_T$) measurements probe collective dynamics, while high $p_T$ measurements probe the response to QGP excitation by jets (jet quenching). | background 1.00 | 0.06 | 0.03 | asserted 1.00 |
| s1 | However, the dynamical interplay between QGP collective dynamics and jet quenching is currently poorly understood. | gap 1.00 | 0.04 | 0.02 | asserted 0.99 |
| s2 | We present a new framework for exploring dynamical correlations across momentum scales in heavy-ion collisions, based on the $p_T$-differential radial-flow observable $v_0(p_T)$. | contribution 0.97 | 0.92 | 0.12 | asserted 1.00 |
| s3 | Measured $v_0(p_T)$ phenomenology is traced to the evolution in strength and coherence of distinct underlying fluctuation modes. | interpretation 0.80 | 0.46 | 0.19 | asserted 1.00 |
| s4 | We then propose new experimental observables to quantify this evolution. | contribution 0.94 | 0.85 | 0.09 | asserted 0.84 |
| s5 | The eigenvalue spectrum of the reference-aligned covariance matrix $V_0$ characterizes the effective fluctuation rank, while the ratio $\lambda_1/\lambda_2$ provides a compact measure of the leading departure from single-mode behavior. | method 0.75 | 0.60 | 0.15 | asserted 1.00 |
| s6 | The $p_T$-dependence of the corresponding eigenvectors then maps the evolution from a single coherent soft mode to multi-mode dynamics including coalescence and jet quenching. | interpretation 0.78 | 0.51 | 0.29 | asserted 0.98 |
| s7 | These novel, experimentally accessible observables provide unique insight into dynamical correlations across momentum scales in the QGP. | interpretation 0.80 | 0.62 | 0.67 | asserted 0.98 |
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The paper
Original abstract
Experimental probes of the Quark-Gluon Plasma (QGP) generated in heavy-ion collisions span a broad range in momentum scale: low transverse momentum (low $p_T$) measurements probe collective dynamics, while high $p_T$ measurements probe the response to QGP excitation by jets (jet quenching). However, the dynamical interplay between QGP collective dynamics and jet quenching is currently poorly understood. We present a new framework for exploring dynamical correlations across momentum scales in heavy-ion collisions, based on the $p_T$-differential radial-flow observable $v_0(p_T)$. Measured $v_0(p_T)$ phenomenology is traced to the evolution in strength and coherence of distinct underlying fluctuation modes. We then propose new experimental observables to quantify this evolution. The eigenvalue spectrum of the reference-aligned covariance matrix $V_0$ characterizes the effective fluctuation rank, while the ratio $\lambda_1/\lambda_2$ provides a compact measure of the leading departure from single-mode behavior. The $p_T$-dependence of the corresponding eigenvectors then maps the evolution from a single coherent soft mode to multi-mode dynamics including coalescence and jet quenching. These novel, experimentally accessible observables provide unique insight into dynamical correlations across momentum scales in the QGP.
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References
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it
Cites it as support 1 paper
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Such soft–hard and flavor-dependent correlations are valuable because they test how bulk fluctuations are transmitted to microscopic probes, thereby helping to break degeneracies that remain in single-sector analyses [ref] .
Multistage dynamical modeling of heavy-ion collisions · Strangeness and heavy flavor as dynamical probes · 0.98
Cites it as background 1 paper
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Moreover, in the context of radial flow, a recently proposed observable, denoted as $v_0$ and its $p_T$-differential counterpart $v_0(p_T)$, quantifies radial flow through correlations between the mean transverse momentum and the spectra [ref] , and is expected to be sensitive to the bulk viscosity of the medium [ref] .
Rapidity dependence of mean transverse momentum fluctuation and decorrelation in baryon-dense medium · Introduction · 0.85
What it cites · 73 sentences without a confident label
Uses the method or tool of 5 papers
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The quantities $V_0$, $r$, and , are experimentally measurable, using techniques similar to those used for measuring high-order flow harmonics [ref] .
Fluctuations of harmonic and radial flow in heavy ion collisions with principal components · Introduction · 0.87
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The quantities $V_0$, $r$, and , are experimentally measurable, using techniques similar to those used for measuring high-order flow harmonics [ref] .
Harmonic decomposition of two-particle angular correlations in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV · Introduction · 0.87
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The quantities $V_0$, $r$, and , are experimentally measurable, using techniques similar to those used for measuring high-order flow harmonics [ref] .
Long-range and short-range dihadron angular correlations in central PbPb collisions at a nucleon-nucleon center of mass energy of 2.76 TeV · Introduction · 0.87
Compares with 1 paper
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Figure [ref] shows a buildup of through sequential activation of the soft, mid-, and hard components, separately for pions, kaons, and protons, compared to ALICE data [ref] .
2504.04796 · Introduction · 0.87
Cites as support 2 papers
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However, QGP phenomena in these different momentum regimes should be coupled physically; for instance jet quenching is strongly influenced by long–range coherence effects that are the QCD analogue to the Landau–Pomeranchuk–Migdal effect in QED [ref] , and the QGP response to jet excitation should have a collective component [ref] .
Medium Response and Jet-Hadron Correlations in Relativistic Heavy-Ion Collisions · Introduction · 0.96
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However, QGP phenomena in these different momentum regimes should be coupled physically; for instance jet quenching is strongly influenced by long–range coherence effects that are the QCD analogue to the Landau–Pomeranchuk–Migdal effect in QED [ref] , and the QGP response to jet excitation should have a collective component [ref] .
QGP@50: More than Four Decades of Jet Quenching · Introduction · 0.96
Cites as background 3 papers
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A QGP filled the early universe, and QGP is generated and studied today by the interaction of heavy nuclei at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) [ref] .
"QGP Signatures" Revisited · Introduction · 0.99
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A QGP filled the early universe, and QGP is generated and studied today by the interaction of heavy nuclei at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) [ref] .
Heavy Ion Collisions: The Big Picture, and the Big Questions · Introduction · 0.99
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Strongly-interacting matter at very high temperature and density forms a Quark–Gluon Plasma (QGP), in which quarks and gluons are deconfined [ref] .
Heavy Ion Collisions: Achievements and Challenges · Introduction · 1.00
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