{"arxiv_id":"hep-lat/0402006","incoming":{"papers":130,"sentences":184,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0710.1217","title":"Exploring the QCD phase diagram","url":"/paper/0710.1217","section":"Discussion","sentence":"Our results about the critical surface appear to be in qualitative contradiction with those of [ref] , [ref] , which both conclude for the existence of a critical point $(μ_E,T_E)$ at small chemical potential $μ_E/T_E 1$.","intent_p":0.74,"contests_p":0.72}]},{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2106.03165","title":"Lattice QCD Equation of State for Nonvanishing Chemical Potential by Resumming Taylor Expansion","url":"/paper/2106.03165","section":"Introduction","sentence":"Generalization to multi-parameter and joint expansion in $T,$.– Akin to multi-parameter reweighting [ref] in bare gauge coupling, $Δβ=β-β_0$, and quark mass, $Δm=m-m_0$, our resummation scheme also can be extended to obtain $_N(T,)$ starting from a different temperature $T_0(β_0)$ and bare quark mass $m_0$,","intent_p":0.84,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":8,"sentences":8,"quotes":[{"arxiv_id":"2507.13254","title":"High-precision baryon number cumulants from lattice QCD in a finite box: cumulant ratios, Lee-Yang zeros and critical endpoint predictions","url":"/paper/2507.13254","section":"Introduction","sentence":"In this manuscript we study Lee-Yang zeros, which offer a different approach to the study of the phase diagram [ref] , by means of a two-step extrapolation (see Ref. [ref] for a detailed explanation).","intent_p":0.8,"contests_p":null},{"arxiv_id":"0712.2930","title":"Recent Result in QCD Thermodynamics from the Lattice","url":"/paper/0712.2930","section":"Results at non-vanishing baryonic chemical potential","sentence":"Using the multi-parameter reweighting technique [ref] we studied dynamical QCD with $n_f$=2+1 staggered quarks of physical masses on $N_t$=4 lattices [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2108.09213","title":"Lattice simulations of the QCD chiral transition at real baryon density","url":"/paper/2108.09213","section":"B.1. Staggered rooting at finite chemical potential","sentence":"In this paper, as in Refs. [ref] , we adopt the following prescription.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1911.00043","title":"Radius of convergence in lattice QCD at finite $\\mu_B$ with rooted staggered fermions","url":"/paper/1911.00043","section":"Introduction","sentence":"A convenient way to do reweighting, which allows for a straightforward determination of the Lee-Yang zeros, is to compute the spectrum of the so-called reduced matrix $P$ [ref] on an ensemble of gauge configurations at $μ_q=0$, which then allows to reweight to any finite $μ_q$ using the relation $M(μ̂) = e^-kVμ̂(P - e^μ̂)$, where $M(μ̂)$ is a lattice discretization of the QCD Dirac operator at finite $μ_q$ and $k$ is the same model dependent constant appearing in the partition function.","intent_p":0.9,"contests_p":null},{"arxiv_id":"2009.12067","title":"Information theoretical view of QCD effective model with heavy quarks","url":"/paper/2009.12067","section":"Nonzero real $μ$","sentence":"To circumvent the problem, we here use the reweighting method [ref] ; we make the probability distribution by using the phase quenched one and the observable quantities are reweighted to make it correctly.","intent_p":0.95,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":17,"sentences":17,"quotes":[{"arxiv_id":"1506.05873","title":"The Trajectory of the Cosmic Plasma Through the Quark Matter Phase Diagram","url":"/paper/1506.05873","section":"Section","sentence":"There is as yet no complete agreement as to the location of the quark matter critical endpoint, as obtained from lattice studies: in [ref] one finds a discussion of various proposed points in the phase diagram, such as one (see [ref] ) with coordinates $(μ_B^CEP/T^CEP, T^CEP/T^C_0) ≈(1.68, 0.94)$, where $T^C_0$ is the crossover temperature at $μ_B = 0$, for which we follow [ref] and take the value $≈$ 150 MeV; but also another with coordinates $(μ_B^CEP/T^CEP, T^CEP/T^C_0) ≈(2.2, 0.99)$ (see [ref] ).","intent_p":0.8,"contests_p":null},{"arxiv_id":"0901.1748","title":"A Novel Approach to Model Hybrid Stars","url":"/paper/0901.1748","section":"Introduction","sentence":"The lattice data includes a first order phase transition at $T=270$ MeV and a pressure functional P(T) similar to Refs. [ref] at $μ=0$ for pure gauge, a crossover at vanishing chemical potential with a transition temperature of $171$ MeV (determined as the peak of the change of the chiral condensate and $Φ$) and the location of the critical end-point (at $μ_c=354$ MeV , $T_c=167$ MeV for symmetric matter in accordance with one of the existent calculations [ref] ).","intent_p":0.97,"contests_p":null},{"arxiv_id":"0808.0672","title":"Status of Lattice Studies of the QCD Phase Diagram","url":"/paper/0808.0672","section":"Calculations at finite density","sentence":"The case of physical quark masses, after conversion to continuum units, is shown in [ref] (right) [ref] .","intent_p":0.92,"contests_p":null},{"arxiv_id":"0907.3403","title":"On the critical end point of the QCD and the NJL model phase diagrams","url":"/paper/0907.3403","section":"Introduction","sentence":"The numerical simulations of Ref. [ref] predict $μ_E≈350$ MeV and $T_E ≈160$ MeV.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1005.4814","title":"The phase diagram of dense QCD","url":"/paper/1005.4814","section":"Lattice QCD at low baryon density","sentence":"It was then concluded that the QCD critical point is located at $(,T)=(,)=(360±40,162±2)$ for physical quark masses [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":9,"sentences":10,"quotes":[{"arxiv_id":"2112.02134","title":"New approach to lattice QCD at finite density: reweighting without an overlap problem","url":"/paper/2112.02134","section":"Unimproved action at $N_τ=4$","sentence":"As can be seen in that Figure, the leading Fisher zero extrapolates to a point on the real line at around $μ_B/T=2.4$, in agreement with the result of Ref. [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0806.1736","title":"Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model","url":"/paper/0806.1736","section":"conclusion","sentence":"The obtained expression is in excellent agreement with numerical computations [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1005.0539","title":"Simulating QCD at finite density","url":"/paper/1005.0539","section":"The curvature of the critical surface","sentence":"Indeed, this must happen if one wishes to reconcile our result with that of Fodor and Katz [ref] , whose critical point Fig. [ref] lies at $μ/T ∼0.7$ for mass parameters similar to eq.","intent_p":0.94,"contests_p":null},{"arxiv_id":"1102.2325","title":"Nuclear matter, nuclei, and neutron stars in hadron and quark-hadron models","url":"/paper/1102.2325","section":"Effective Chiral Model","sentence":"The other two parameters of the potential have been adjusted in order to obtain a phase diagram that has a first-order phase transitions at high densities which ends in a critical end-point at a temperature $T$ and chemical potential $μ$ in agreement with results from lattice calculations [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1706.00455","title":"Critical point in the phase diagram of primordial quark-gluon matter from black hole physics","url":"/paper/1706.00455","section":"Holographic thermodynamics at finite baryon density","sentence":"We close this section by mentioning that our prediction for the QCD critical point in the phase diagram is located at a smaller $T$ and larger $μ_B$ than other previous estimates using different approaches ranging from lattice QCD-based analyses [ref] , an experimentally-driven finite-size scaling analysis [ref] , and Dyson-Schwinger models [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0808.1447","title":"Confinement- Deconfinement Phase Transition in Hot and Dense QCD at Large N","url":"/paper/0808.1447","section":"Confinement- Deconfinement Phase Transition in hot QCD at large $N$.","sentence":"In particular, it includes: $∙$ lattice computations of topological susceptibility in the vicinity of the phase transition [ref] ; $∙$ lattice computations of the critical temperature $T_c(μ)$ as a function of $μ$ at small $μ$ [ref] ; $∙$ analysis of the holographic models of QCD in vicinity of the phase transition at nonzero temperature [ref] .","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":39,"sentences":39,"quotes":[{"arxiv_id":"2112.02134","title":"New approach to lattice QCD at finite density: reweighting without an overlap problem","url":"/paper/2112.02134","section":"Introduction","sentence":"A number of approaches have been proposed to side-step this problem, such as reweighting [ref] , Taylor expansion around zero chemical potential [ref] , analytic continuation from purely imaginary chemical potentials [ref] , or the complex Langevin approach [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2511.19255","title":"Magnetic susceptibility of a hot hadronic medium and quark degrees of freedom near the QCD cross-over point","url":"/paper/2511.19255","section":"Introduction","sentence":"It is well known that at vanishing chemical potentials, QCD exhibits a cross-over phase transition [ref] near the pseudo-critical temperature $T_c∼155$ MeV, passing gradually from hadronic degrees of freedom below $T_c$ to quarks and gluons above.","intent_p":0.9,"contests_p":null},{"arxiv_id":"2002.02821","title":"The QCD crossover at finite chemical potential from lattice simulations","url":"/paper/2002.02821","section":"Introduction","sentence":"Though there have been attempts in extracting information about the location of the supposed CEP from lattice simulations [ref] , these attempts face great difficulties, as extrapolation-type methods have the property that they give reliable results mostly in the immediate vicinity of $μ_B=0$.","intent_p":0.91,"contests_p":null},{"arxiv_id":"0901.3018","title":"The curvature of the QCD phase transition line","url":"/paper/0901.3018","section":"Possible scenarios","sentence":"There are several works in the literature in which the value of the curvature was computed [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2605.10441","title":"RG-Consistent (P)NJL Model: Impact of Thermal Cutoff Modifications on Thermodynamics and Net-Baryon Number Fluctuations","url":"/paper/2605.10441","section":"Introduction","sentence":"The endpoint separating these two regimes is commonly referred to as the QCD critical point [ref] .","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":107},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"hep-lat/0402006","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T15:02:17+00:00","loaded_at":"2026-10-28T01:02:18.112312+00:00","evidence":"substantial","account":[],"groups":[{"kind":"data_used","label":"Uses its data or values","papers":2,"entries":[{"p":0.98,"quote":null,"citing":[{"self":false,"year":2009,"title":"Chiral Symmetry Restoration and Deconfinement to Quark Matter in Neutron Stars","arxiv_id":"0910.1312"}],"verified":true,"paraphrase":"Chose its mixed temperature and chemical potential parameter to reproduce a critical endpoint at μ_c=354 MeV and T_c=167 MeV for symmetric matter and zero net strangeness in accordance with this paper's lattice data."},{"p":0.92,"quote":null,"citing":[{"self":false,"year":2009,"title":"Event-by-Event Fluctuations and the Search for the Critical Point within the NA49 Experiment","arxiv_id":"0910.0558"}],"verified":true,"paraphrase":"Took the position of the critical point in μ (at μ=360 MeV) from this paper's lattice QCD calculations."}],"papers_all":20,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":1,"contests":1,"data_used":20,"comparison":10,"method_or_tool":8,"supports_this_paper":2},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":18,"self_papers":19,"citing_papers":160,"sentences_read":27,"citing_sentences":217,"unambiguous_read":27,"typed_independent":37,"independent_papers":141,"by_kind_independent":{"extends":1,"contests":1,"data_used":20,"comparison":8,"method_or_tool":5,"supports_this_paper":2}},"input_sha256":"c15d70aff61dd53d30601dc399337c6094669761f866745ae8b723d8d2c0c630","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"2 later papers by other authors are listed below: 2 used its data or values."},"_links":{"html":"https://pith.science/paper/hep-lat/0402006"}}