QCD phase structure from functional methods

Gao, Fei; Pawlowski, Jan M.

doi:10.1103/physrevd.102.034027

Cited by 118 publications

(158 citation statements)

References 88 publications

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“…The normalization is given by the maximum of the susceptibility at the physical pion mass; see Eq. (5). We observe that the results from the two methods agree very well for m π ≳ 30 MeV.…”

Section: Resultsmentioning

confidence: 56%

“…Fitting the relation 7 M is the maximum of the susceptibility at the physical pion mass; see Eq. (5). The lattice QCD data have been taken from Refs.…”

Section: Resultsmentioning

confidence: 99%

“…[1,2] for functional renormalization group studies (fRG) and, e.g., Refs. [3][4][5] for Dyson-Schwinger studies. Still, in the high-density regime, the systematic error of the current computations grows large.…”

Section: Introductionmentioning

confidence: 99%

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Chiral susceptibility in ( 2+1 )-flavor QCD

Braun

Pawlowski

et al. 2020

Phys. Rev. D

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We calculate chiral susceptibilities in (2 þ 1)-flavor QCD for different masses of the light quarks using the functional renormalization group (fRG) approach to first principles QCD. We follow the evolution of the chiral susceptibilities with decreasing masses as obtained from both the light-quark and the reduced quark condensate. The latter compares very well with recent results from the HotQCD Collaboration for pion masses m π ≳ 100 MeV. For smaller pion masses, fRG and lattice results are still consistent. In particular, the estimates for the chiral critical temperature are in very good agreement. We close by discussing different extrapolations to the chiral limit.

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Section: Resultsmentioning

confidence: 56%

“…Fitting the relation 7 M is the maximum of the susceptibility at the physical pion mass; see Eq. (5). The lattice QCD data have been taken from Refs.…”

Section: Resultsmentioning

confidence: 99%

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Chiral susceptibility in ( 2+1 )-flavor QCD

Braun

Pawlowski

et al. 2020

Phys. Rev. D

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“…Numerous lattice attempts to overcome the sign problem provide reliable information only in the region of small baryon density [2]. In the absence of straightforward results from lattice simulation of QCD, one applies different analytical approaches to study the ðμ; TÞ phase diagram: mean field approaches [3][4][5][6][7][8][9], the method of Dyson-Schwinger equations and the renormalization group [10][11][12][13], the large-N c approach [14], perturbative QCD [15,16] and others. Although the results obtained theoretically are important, it is rather difficult to estimate the reliability of these predictions.…”

Section: Introductionmentioning

confidence: 99%

Lattice study of thermodynamic properties of dense QC2D

et al. 2020

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In this paper we study thermodynamic properties of dense cold SUð2Þ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to N f ¼ 2 quark flavours. We calculate baryon density, renormalized chiral and diquark condensates for various baryon chemical potentials in the region μ ∈ ð0; 2000Þ MeV. It is found that in the region μ ∈ ð0; 540Þ MeV the system is well described by the ChPT predictions. In the region μ > 540 MeV the system becomes sufficiently dense and ChPT is no longer applicable to describe lattice data. For chemical potentials μ > 900 MeV we observe formation of the Fermi sphere, and the system is similar to the one described by the Bardeen-Cooper-Schrieffer theory where the diquarks play a role of Cooper pairs. In order to study how nonzero baryon density influences the gluon background we calculate chromoelectric and chromomagnetic fields, as well as the topological susceptibility. We find that the chromoelectric field and the topological susceptibility decrease, whereas the chromomagnetic field increases with rising of baryon chemical potential. Finally we study the equation of state of dense two-color quark matter.

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“…The studies have suggested that the QCD matter experiences a crossover at zero chemical potential as the temperature increases. At low temperature, the QCD matter could be well described by the hadron resonance gas, while it gradually becomes quark gluon plasma at high temperature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. As the temperature changes, the thermal mass of hadrons will shift, the thermal a e-mail: gao@thphys.uni-heidelberg.de (corresponding author) b e-mail: mding.ectstar@gmail.com width will usually get larger and the decay of hadrons will then change.…”

Section: Introductionmentioning

confidence: 99%

Thermal properties of $$\pi $$ and $$\rho $$ meson

Gao¹,

Ding

2020

Eur. Phys. J. C

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We computed the pole masses and decay constants of $$\pi $$ π and $$\rho $$ ρ meson at finite temperature in the framework of Dyson–Schwinger equations and Bethe–Salpeter equations approach. Below transition temperature, pion pole mass increases monotonously, while $$\rho $$ ρ meson seems to be temperature independent. Above transition temperature, pion mass approaches the free field limit of screening mass $$\sim 2\pi T$$ ∼ 2 π T , whereas $$\rho $$ ρ meson is about twice as large as that limit. Pion and the longitudinal projection of $$\rho $$ ρ meson decay constants have similar behaviour as the order parameter of chiral symmetry, whereas the transverse projection of $$\rho $$ ρ meson decay constant rises monotonously as temperature increases. The inflection point of decay constant and the chiral susceptibility get the same phase transition temperature. Though there is no access to the thermal width of mesons within this scheme, it is discussed by analyzing the Gell-Mann-Oakes-Renner (GMOR) relation in medium. These thermal properties of hadron observables will help us understand the QCD phases at finite temperature and can be employed to improve the experimental data analysis and heavy ion collision simulations.

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QCD phase structure from functional methods

Cited by 118 publications

References 88 publications

Chiral susceptibility in ( 2+1 )-flavor QCD

Chiral susceptibility in ( 2+1 )-flavor QCD

Lattice study of thermodynamic properties of dense QC2D

Thermal properties of $$\pi $$ and $$\rho $$ meson

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