Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Tang, Can; Gao, Fei; Liu, Yuxin

doi:10.1103/physrevd.100.056001

Cited by 30 publications

(17 citation statements)

References 156 publications

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“…9 we show the renormalized light chiral condensate obtained from the current computation in comparison to lattice data at vanishing chemical potential, [82]. The chiral transition temperatures in (34) are in quantitative agreement with the lattice, [50,82,83], and fRG results, [23]. In Appendix B we also compare the temperature dependence of the renormalized light chiral condensate computed in the present work and that from [23] for different chemical potential.…”

Section: Resultssupporting

confidence: 67%

“…The solution of the gap equation of the quark propagator solely requires the knowledge of the quark-gluon vertex and the gluon propagator. These correlation functions carry the full information about confinement and chiral symmetry breaking, and their quantitative computation within functional methods has been the subject of many works in the past two decades; for fRG works see e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and for DSE works see e.g., [8,9,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. For related lattice studies see e.g., [45][46][47][48][49][50][51][52][53][54][55]…”

Section: Introductionmentioning

confidence: 99%

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QCD phase structure from functional methods

2020

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We discuss the QCD phase structure at finite temperature and chemical potential for 2-flavor and 2 þ 1flavor QCD. The results are achieved by computing QCD correlation functions within a generalized functional approach that combines Dyson-Schwinger equations (DSE) and the functional renormalization group (fRG). In this setup fRG precision data from [A. K. Cyrol, M. Mitter, J. M. Pawlowski, and N. Strodthoff, Phys. Rev. D 97, 054006 (2018).] for the vacuum quark-gluon vertex and gluon propagator of 2-flavor QCD used as input, and the respective DSEs are expanded about this input. While the vacuum results for other correlation functions serve as a self-consistency check for functional approaches, the results at finite temperature and density are computed, for the first time, without the need of phenomenological infrared parameters.

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Section: Resultssupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

QCD phase structure from functional methods

2020

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“…[67,68,[98][99][100][101]) is a continuous field theory of QCD, which can simultaneously deal with the confinement and dynamical chiral symmetry breaking, and is available on the entire T − μ plane as well as zero current quark mass limit. The DS equations include in fact an infinite number of coupled integral equations, and in order to solve them, one must take truncation [102][103][104][105][106][107][108][109] and model the dressed gluon propagator [110][111][112][113]. The DS equation approach has been taken to study the phase transition and the CEP [15][16][17][18][19][20][21][22]25,26,[114][115][116][117][118][119][120], and also been used to study the cold dense matter [121][122][123][124][125][126][127].…”

Section: (): V-volmentioning

confidence: 99%

QCD phase transition and equation of state of stellar strong interaction matter via Dyson–Schwinger equation approach

Bai

Liu

2021

Eur. Phys. J. C

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We study the phase structure and phase transition of cold dense QCD matter via the Dyson–Schwinger equation approach. We take the rainbow approximation and the Gaussian-type gluon model. In order to guarantee that the quark number density begins to appear at the nuclear liquid-gas phase transition chemical potential, we propose a chemical potential dependent modification factor for the gluon model. We find that for the iso-symmetric quark matter, the modification reduces the chemical potential of the phase coexistence region of the first-order phase transition. We also implement the relativistic mean field theory to describe the hadron matter, and make use of the Maxwell and Gibbs construction method to study the phase transition of $$\beta $$ β -equilibrium and charge neutral matter in compact stars. The results show that the phase transition will not happen in case of the Gaussian-type gluon model without any modification. The results also indicate that the upper boundary of the coexistence region should be larger than the current Nambu solution existing region. We also calculate the mass-radius relation of the compact stars, and find that the hadron-quark phase transition happens at too high chemical potential so that the maximum mass of the compact star is hardly affected by the hadron-quark phase transition.

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“…[67,68,[98][99][100]) is a continuous field theory of QCD, which can simultaneously deal with the confinement and dynamical chiral symmetry breaking, and is available on the entire T − µ plane as well as zero current quark mass limit. The DS equations include in fact an infinite number of coupled integral equations, and in order to solve them, one must take truncations [101][102][103][104][105][106][107] and model the dressed gluon propagator [108][109][110][111]. The DS equation approach has been taken to study the phase transition and the CEP [15-22, 25, 26, 112-118], and also been used to study the cold dense matter [119][120][121][122][123][124].…”

Section: Introductionmentioning

confidence: 99%

QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach

Bai,

Liu

2021

Preprint

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We study the phase structure and phase transition of cold dense QCD matter via the Dyson-Schwinger equation approach. We take the rainbow approximation and the Gaussian-type gluon model. In order to guarantee that the quark number density begins to appear at the nuclear liquidgas phase transition chemical potential, we propose a chemical potential dependent modification factor for the gluon model. We find that for the iso-symmetric quark matter, the modification reduces the chemical potential of the phase coexistence region of the first-order phase transition. We also implement the relativistic mean field theory to describe the hadron matter, and make use of the Maxwell and Gibbs construction method to study the phase transition of β-equilibrium and charge neutral matter in compact stars. The results show that the phase transition will not happen in case of the Gaussian-type gluon model without any modification. The results also indicate that the upper boundary of the coexistence region should be larger than the current Nambu solution existing region. We also calculate the mass-radius relation of the compact stars, and find that the hadron-quark phase transition happens at too high chemical potential so that the maximum mass of the compact star is hardly affected by the hadron-quark phase transition.

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Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Cited by 30 publications

References 156 publications

QCD phase structure from functional methods

QCD phase structure from functional methods

QCD phase transition and equation of state of stellar strong interaction matter via Dyson–Schwinger equation approach

QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach

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