Nature of the phase transition for finite temperature 
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 QCD with nonperturbatively 
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Kuramashi, Y.; Nakamura, Y.; Ohno, Hiroshi; Takeda, Shinji

doi:10.1103/physrevd.101.054509

Cited by 37 publications

(50 citation statements)

References 61 publications

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“…20 (Ref. [ 145 ]) Sketch of the kurtosis intersection analysis. The minimum of the kurtosis is determined from multiensemble reweighting and then fit for different volumes.…”

Section: Columbia Plotmentioning

confidence: 99%

“…21 (Ref. [ 145 ]) The scaling exponent of the maximum susceptibility with the volume: . The results are shown for and 12 with connecting lines.…”

Section: Columbia Plotmentioning

confidence: 99%

“…Reference [ 145 ] investigates the Columbia plot for the case with improved Wilson quarks and the Iwasaki gauge action up to . It uses multiensemble reweighting to determine the minimum of the kurtosis.…”

Section: Columbia Plotmentioning

confidence: 99%

“…Values are from Refs. [ 135 – 137 , 145 , 149 , 150 , 152 – 156 ]. The color of the points denotes the fermion type used in the simulations.…”

Section: Columbia Plotmentioning

confidence: 99%

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Overview of the QCD phase diagram

Guenther

2021

Eur. Phys. J. A

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In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review we focus on the developments in the last two years. Especially the addition of external influences or new parameter ranges yields an increasing number of interesting results. We discuss the progress for small, finite densities from both extrapolation-based methods (Taylor expansion and analytic continuation for imaginary chemical potential) and complex Langevin simulations, for heavy quark bound states (quarkonium), the dependence on the quark masses (Columbia plot) and the influence of a magnetic field. Many of these conditions are relevant for the understanding of both the QCD transition in the early universe and heavy ion collision experiments, which are conducted for example at the LHC and RHIC.

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“…20 (Ref. [ 145 ]) Sketch of the kurtosis intersection analysis. The minimum of the kurtosis is determined from multiensemble reweighting and then fit for different volumes.…”

Section: Columbia Plotmentioning

confidence: 99%

“…21 (Ref. [ 145 ]) The scaling exponent of the maximum susceptibility with the volume: . The results are shown for and 12 with connecting lines.…”

Section: Columbia Plotmentioning

confidence: 99%

Section: Columbia Plotmentioning

confidence: 99%

“…Values are from Refs. [ 135 – 137 , 145 , 149 , 150 , 152 – 156 ]. The color of the points denotes the fermion type used in the simulations.…”

Section: Columbia Plotmentioning

confidence: 99%

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Overview of the QCD phase diagram

Guenther

2021

Eur. Phys. J. A

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“…One of the main motivations of the current study is to explore the chiral phase structure of N f ¼ 3 QCD in a background magnetic field. At the vanishing magnetic field the true first order phase transition is not yet observed, and state-of-the-art estimates on the critical pion mass m c π based on lattice QCD simulations are m c π ≲ 50 MeV using improved staggered fermions [13,14] and m c π ≲ 110 MeV using clover-improved Wilson fermions [15,16]. Since the background magnetic field always enhances the strength of the transition one may wonder whether it could enlarge the first order chiral phase transition region in N f ¼ 3 QCD, i.e., having a larger value of the critical pion mass.…”

Section: Introductionmentioning

confidence: 99%

Chiral phase structure of three flavor QCD in a background magnetic field

et al. 2020

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We investigate the chiral phase structure of three flavor QCD in a background Uð1Þ magnetic field using the standard staggered action and the Wilson plaquette gauge action. We perform simulations on lattices with a temporal extent of N τ ¼ 4 and four spatial extents of N σ ¼ 8, 16, 20 and 24. We choose a quark mass in lattice spacing as am ¼ 0.030 with corresponding pion mass estimated as m π ∼ 280 MeV such that there exists a crossover transition at vanishing magnetic fields, and adopt two values of magnetic field strength in lattice spacing a ffiffiffiffiffiffi eB p ≃ 1.5 and 2 corresponding to eB=m 2 π ∼ 11 and 20, respectively. We find that the transition becomes stronger in the presence of a background magnetic field, and turns into a first order as seen from the volume scaling of the order parameter susceptibility as well as the metastable states in the time history of the chiral condensate. On the other hand, the chiral condensate and transition temperature always increase with B even within the regime of a first order phase transition. This suggests that the discrepancy in the behavior of chiral condensates and transition temperature as a function of B between earlier lattice studies using larger-than-physical pion masses with standard staggered fermions and those using physical pions with improved staggered fermions is mainly due to lattice cutoff effects.

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On the order of the QCD chiral phase transition for different numbers of quark flavours

Cuteri

Philipsen

Sciarra

2021

J. High Energ. Phys.

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The nature of the QCD chiral phase transition in the limit of vanishing quark masses has remained elusive for a long time, since it cannot be simulated directly on the lattice and is strongly cutoff-dependent. We report on a comprehensive ongoing study using unimproved staggered fermions with Nf ∈ [2, 8] mass-degenerate flavours on Nτ ∈ {4, 6, 8} lattices, in which we locate the chiral critical surface separating regions with first-order transitions from crossover regions in the bare parameter space of the lattice theory. Employing the fact that it terminates in a tricritical line, this surface can be extrapolated to the chiral limit using tricritical scaling with known exponents. Knowing the order of the transitions in the lattice parameter space, conclusions for approaching the continuum chiral limit in the proper order can be drawn. While a narrow first-order region cannot be ruled out, we find initial evidence consistent with a second-order chiral transition in all massless theories with Nf ≤ 6, and possibly up to the onset of the conformal window at 9 ≲ $$ {N}_{\mathrm{f}}^{\ast } $$ N f ∗ ≲ 12. A reanalysis of already published $$ \mathcal{O} $$ O (a)-improved Nf = 3 Wilson data on Nτ ∈ [4, 12] is also consistent with tricritical scaling, and the associated change from first to second-order on the way to the continuum chiral limit. We discuss a modified Columbia plot and a phase diagram for many-flavour QCD that reflect these possible features.

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Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(

Cited by 37 publications

References 61 publications

Overview of the QCD phase diagram

Overview of the QCD phase diagram

Chiral phase structure of three flavor QCD in a background magnetic field

On the order of the QCD chiral phase transition for different numbers of quark flavours

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