Shocks and quark-meson scatterings at large density

Grossi, Eduardo; Ihssen, Friederike; Pawlowski, Jan M.; Wink, Nicolas

doi:10.1103/physrevd.104.016028

Cited by 20 publications

(30 citation statements)

References 119 publications

(206 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the contrary, the methods in the other class are able to provide us with the global properties of the potential, but usually their numerical implements are relatively more difficult. The second class includes the discretization of the potential on a grid [97], the pseudo-spectral methods [152][153][154][155], e.g., the Chebyshev expansion of the potential [151], the discontinuous Galerkin method [156,157], etc. In what follows we give a brief discussion about the Taylor expansion and the Chebyshev expansion of the potential.…”

Section: Flow Of the Effective Potentialmentioning

confidence: 99%

“…Thus, the potential is discretized on a grid to resolve the flow equation, and see [97] for more details. One [157], where the color stands for the value of the order parameter. The plot is adopted from [157].…”

Section: Phase Structurementioning

confidence: 99%

“…One [157], where the color stands for the value of the order parameter. The plot is adopted from [157].…”

Section: Phase Structurementioning

confidence: 99%

“…It is conjectured that this artifact might arise from the defect that the discontinuity for the potential at high baryon chemical potential is not well dealt with within the grid or pseudo-spectral methods. Recently, a discontinuous Galerkin method has been developed to resolve the flow equation of the effective potential [156,157], and the relevant result for the two-flavor phase diagram is shown in Figure 15 [157]. Within this approach, the formation and propagation of shocks are allowed, and see [156,157] for a detailed discussion.…”

Section: Phase Structurementioning

confidence: 99%

“…Recently, a discontinuous Galerkin method has been developed to resolve the flow equation of the effective potential [156,157], and the relevant result for the two-flavor phase diagram is shown in Figure 15 [157]. Within this approach, the formation and propagation of shocks are allowed, and see [156,157] for a detailed discussion.…”

Section: Phase Structurementioning

confidence: 99%

See 4 more Smart Citations

QCD at finite temperature and density within the fRG approach: An overview

2022

Preprint

View full text Add to dashboard Cite

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which quantum, thermal and density fluctuations are integrated in successively with the evolution of the renormalization group (RG) scale. The fRG results for the QCD phase structure and the location of the critical end point (CEP), the QCD equation of state (EoS), the magnetic EoS, baryon number fluctuations confronted with recent experimental measurements, various critical exponents, spectral functions in the critical region, the dynamical critical exponent, etc., are presented. Recent estimates of the location of the CEP from first-principle QCD calculations within fRG and Dyson-Schwinger Equations, which passes through lattice benchmark tests at small baryon chemical potentials, converge in a rather small region at baryon chemical potentials of about 600 MeV. A region of inhomogeneous instability indicated by a negative wave function renormalization is found with µB 420 MeV. It is found that the non-monotonic dependence of the kurtosis of the net-proton number distributions on the beam collision energy observed in experiments, could arise from the increasingly sharp crossover in the regime of low collision energy.

show abstract

Section: Flow Of the Effective Potentialmentioning

confidence: 99%

Section: Phase Structurementioning

confidence: 99%

“…One [157], where the color stands for the value of the order parameter. The plot is adopted from [157].…”

Section: Phase Structurementioning

confidence: 99%

Section: Phase Structurementioning

confidence: 99%

Section: Phase Structurementioning

confidence: 99%

See 3 more Smart Citations

QCD at finite temperature and density within the fRG approach: An overview

2022

Preprint

View full text Add to dashboard Cite

show abstract

Local discontinuous Galerkin for the functional renormalisation group

Ihssen,

Pawlowski,

Sattler

et al. 2024

Computer Physics Communications

View full text Add to dashboard Cite

QCD at finite temperature and density within the fRG approach: an overview

Fu¹

2022

Commun. Theor. Phys.

View full text Add to dashboard Cite

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which quantum, thermal and density fluctuations are integrated in successively with the evolution of the renormalization group (RG) scale. The fRG results for the QCD phase structure and the location of the critical end point (CEP), the QCD equation of state (EoS), the magnetic EoS, baryon number fluctuations confronted with recent experimental measurements, various critical exponents, spectral functions in the critical region, the dynamical critical exponent, etc., are presented. Recent estimates of the location of the CEP from first-principle QCD calculations within fRG and Dyson-Schwinger Equations, which passes through lattice benchmark tests at small baryon chemical potentials, converge in a rather small region at baryon chemical potentials of about 600 MeV. A region of inhomogeneous instability indicated by a negative wave function renormalization is found with $\mu_B\gtrsim 420$ MeV. It is found that the non-monotonic dependence of the kurtosis of the net-proton number distributions on the beam collision energy observed in experiments, could arise from the increasingly sharp crossover in the regime of low collision energy.

show abstract

Shocks and quark-meson scatterings at large density

Cited by 20 publications

References 119 publications

QCD at finite temperature and density within the fRG approach: An overview

QCD at finite temperature and density within the fRG approach: An overview

Local discontinuous Galerkin for the functional renormalisation group

QCD at finite temperature and density within the fRG approach: an overview

Contact Info

Product

Resources

About