Dyson-Schwinger equations towards cold-dense QCD matter with improved truncations

Yu-Xin Liu; Zhan Bai

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Dyson-Schwinger equations towards cold-dense QCD matter with improved truncations

Zhan Bai, Yu-Xin Liu

High Energy Physics - Phenomenology · Submitted 25 Oct 2023

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

The authors' main claim The result shows that our modified scheme can not only describe the phase transition of the cold dense matter well but also the deduced equation of state of the matter can describe the recent astronomical observations consistently.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.31 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.35 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter. Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the CLRQ vertex and infrared-constant gluon model. For the dynamical chiral symmetry breaking solution of the DSE, we require that the emergence of quark number density to be at the chemical potential for the nuclear liquid-gas phase transition to take place, by incorporating a chemical potential dependent modification factor to the gluon model. The result shows that our modified scheme can not only describe the phase transition of the cold dense matter well but also the deduced equation of state of the matter can describe the recent astronomical observations consistently.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter.	contribution 0.90	0.89	0.03	asserted 0.74
s1	Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the CLRQ vertex and infrared-constant gluon model.	method 0.92	0.86	0.02	asserted 0.98
s2	For the dynamical chiral symmetry breaking solution of the DSE, we require that the emergence of quark number density to be at the chemical potential for the nuclear liquid-gas phase transition to take place, by incorporating a chemical potential dependent modification factor to the gluon model.	method 0.97	0.86	0.05	asserted 0.96
s3	The result shows that our modified scheme can not only describe the phase transition of the cold dense matter well but also the deduced equation of state of the matter can describe the recent astronomical observations consistently.	result 0.94	0.95	0.91	asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.56 · evidence from simulation or computation 0.94.

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The paper

Original abstract

We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter. Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the CLRQ vertex and infrared-constant gluon model. For the dynamical chiral symmetry breaking solution of the DSE, we require that the emergence of quark number density to be at the chemical potential for the nuclear liquid-gas phase transition to take place, by incorporating a chemical potential dependent modification factor to the gluon model. The result shows that our modified scheme can not only describe the phase transition of the cold dense matter well but also the deduced equation of state of the matter can describe the recent astronomical observations consistently.

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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

What it cites · 118 sentences without a confident label

Uses the method or tool of 2 papers

For the modification function $h(μ_q)$, we follow our previous work [ref] : [equation] where $μ_q,c=923/3$MeV is the quark chemical potential corresponding to the nuclear liquid-gas phase transition, $β$ is a parameter to be fixed.

QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach · Modification to truncation scheme · 0.89
After solving the gap equation at some quark chemical potential, the number density of quarks can be obtained through [ref] :

Chemical potential and the gap equation · Emergence of quark number and comparison of the schemes · 0.97

Uses data or values from 1 paper

In this paper, we take $η=0.65$ as that in Ref. [ref] .

QCD phase transitions via a refined truncation of Dyson-Schwinger equations · Dyson-Schwinger equation approach · 0.99

Cites as support 3 papers

However, both the mass function and the chiral susceptibility ($∂B/∂m_q^$) are negative in small chemical potential region (see, e.g. Ref. [ref] ), and it has been proved that the negative chiral susceptibility corresponds to an unstable phase [ref] .

Phase diagram and critical endpoint for strongly-interacting quarks · Isosymmetric phase transition and coexistence region · 0.97
However, both the mass function and the chiral susceptibility ($∂B/∂m_q^$) are negative in small chemical potential region (see, e.g. Ref. [ref] ), and it has been proved that the negative chiral susceptibility corresponds to an unstable phase [ref] .

Interaction model for the gap equation · Isosymmetric phase transition and coexistence region · 0.97
However, both the mass function and the chiral susceptibility ($∂B/∂m_q^$) are negative in small chemical potential region (see, e.g. Ref. [ref] ), and it has been proved that the negative chiral susceptibility corresponds to an unstable phase [ref] .

QCD phase transitions via a refined truncation of Dyson-Schwinger equations · Isosymmetric phase transition and coexistence region · 0.97

Cites as background 33 papers

The DSE approach has also been taken to study the cold dense matter [ref] , which is relevant in neutron stars.

Chemical potential and the gap equation · Introduction · 0.93
The DSE approach has also been taken to study the cold dense matter [ref] , which is relevant in neutron stars.

Hybrid stars with the Dyson-Schwinger quark model · Introduction · 0.93
The DSE approach has also been taken to study the cold dense matter [ref] , which is relevant in neutron stars.

Hybrid protoneutron stars with the Dyson-Schwinger quark model · Introduction · 0.93

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