Thermodynamics of the QCD transition from lattice

Szabolcs Borsanyi

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Thermodynamics of the QCD transition from lattice

Szabolcs Borsanyi

High Energy Physics - Lattice · Submitted 25 Oct 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We also show predictions for higher cumulants, which will be experimentally available in near future.

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The compiled record

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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,888 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.10 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We discuss recent developments in lattice QCD for the bulk thermodynamics of the transition. We review the current status of the equation of state, the possible implications of a magnetic field and the fluctuations of conserved charges, like the net electric charge or baryon number. We also show predictions for higher cumulants, which will be experimentally available in near future.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss recent developments in lattice QCD for the bulk thermodynamics of the transition.	contribution 0.68	0.20	0.07	asserted 0.59
s1	We review the current status of the equation of state, the possible implications of a magnetic field and the fluctuations of conserved charges, like the net electric charge or baryon number.	contribution 0.84	0.15	0.10	hedged possibility 0.48
s2	We also show predictions for higher cumulants, which will be experimentally available in near future.	contribution 0.44	0.82	0.15	asserted 0.99

What kind of paper the classifier reports this is: review 0.98 · evidence from simulation or computation 0.69.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We discuss recent developments in lattice QCD for the bulk thermodynamics of the transition. We review the current status of the equation of state, the possible implications of a magnetic field and the fluctuations of conserved charges, like the net electric charge or baryon number. We also show predictions for higher cumulants, which will be experimentally available in near future.

Human review

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data
hep-ph 2013-07 accept novelty 6.0 of 10

An exact one-loop hard-thermal-loop calculation confirms that the widely used mass-over-temperature expansion of the QCD pressure and quark number susceptibilities converges to roughly one percent.
D meson elliptic flow in non-central Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76TeV
nucl-ex 2013-05 accept novelty 6.0 of 10

D mesons in 30-50% central Pb-Pb collisions at 2.76 TeV show positive elliptic flow, averaging 0.204 in 2 < pT < 6 GeV/c, comparable in magnitude to light-flavour hadrons.
Fluctuations and correlations in high temperature QCD
hep-lat 2015-07 conditional novelty 5.0 of 10

Continuum-extrapolated lattice QCD shows the hadron resonance gas describes charge fluctuations below the crossover and three-loop hard thermal loop perturbation theory describes them above about 250 MeV.
Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
nucl-th 2023-03 accept novelty 2.0 of 10

The MUSES collaboration compiles theoretical and observational constraints on the equation of state of dense and hot strongly interacting matter, together with the temperature and density range over which each constra...
Perturbative Thermal QCD: Formalism and Applications
hep-ph 2020-02 accept novelty 2.0 of 10

A comprehensive review of real-time and imaginary-time perturbative thermal QCD, covering the resummations needed for soft and collinear physics and the resulting calculations of photon rates, transport coefficients, ...

Show 1 more citing papers

Collective flow and viscosity in relativistic heavy-ion collisions
nucl-th 2013-01 conditional novelty 2.0 of 10

The quark-gluon plasma behaves as a liquid whose specific shear viscosity sits near 2.5 times the conjectured 1/(4pi) bound, extracted from anisotropic flow systematics at RHIC and the LHC with roughly 50% systematic ...

How the literature uses it

19 arXiv papers cite this in 26 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 16 sentences without a confident label

Uses its data or values 6 papers

This time, the continuum extrapolated Wuppertal-Budapest (WB; green dots) lattice data are taken from [ref] , and the $N_τ=8$ BNL-Bielefeld (BNL-B; black dots) results, using a highly improved staggered quark (HISQ) action, from [ref] .

Probing the finite density equation of state of QCD via resummed perturbation theory · The three flavor case · 0.96
The continuum extrapolated WB lattice data are this time taken from [ref] , while the $N_τ=8$ BNL-Bielefeld results are again from [ref] .

Quark number susceptibilities from resummed perturbation theory · Results · 0.87
The band near to the temperature axis displays the lattice estimate for presented in Ref. [ref] , $=147±5 MeV$.

Melting Hadrons, Boiling Quarks · Hadrons from QGP: What do we learn? · 0.89

Compares with it 3 papers

[ref] and lattice data from both the Wuppertal-Budapest (WB) [ref] and BNL-Bielefeld (BNL-B) [ref] collaborations.

Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data · Results for three flavors · 0.99
In figure [ref] (left), we plot our DR and HTLpt results together with lattice data from [ref] , which at temperatures around $T=$ 300 – 400 MeV seem to agree nicely with the one-loop HTLpt band, but soon start approaching the DR prediction.

Kurtoses and high order cumulants: Insights from resummed perturbation theory · Kurtoses · 0.85
Let us mention that the preliminary continuum estimate of the fourth order quark number susceptibility obtained with the stout action is also below the resummed 3d perturbative result [ref] .

Quark number susceptibilities at high temperatures · Comparison of the lattice and the weak coupling results · 0.83

Cites it as background 1 paper

Under these conditions, according to Quantum-Chromodynamics (QCD) calculations on the lattice, the confinement of quarks and gluons inside hadrons is no longer effective and a phase transition to a Quark-Gluon Plasma (QGP) occurs [ref] .

D meson elliptic flow in non-central Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76TeV · Introduction · 0.97

What it cites · 6 sentences without a confident label

Cites as background 3 papers

Nevertheless, starting with Ref. [ref] a renewed interest has been seen for $μ_B>0$ questions in lattice QCD, and several indirect strategies exist [ref] .

The phase diagram of quantum chromodynamics · Phase diagram · 0.88
Nevertheless, starting with Ref. [ref] a renewed interest has been seen for $μ_B>0$ questions in lattice QCD, and several indirect strategies exist [ref] .

Lattice QCD at non-zero temperature and baryon density · Phase diagram · 0.88
For a comprehensive review see Ref. [ref] .

The QCD equation of state from the lattice · Equation of state · 0.99

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