Aspects of topological actions on the lattice

Forcrand, Philippe de; Akerlund, Oscar

doi:10.22323/1.251.0169

Cited by 7 publications

(10 citation statements)

References 12 publications

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“…Thus it is likely that the critical mass is so small that modern computers cannot access it directly, or it could be zero. Moreover an insightful result for N f = 4 QCD was reported by de Forcrand and D'Elia [42] where the standard staggered fermions are used to study the critical point. They found large cutoff effects compared with N f = 3 case and the critical mass tends to be zero with decreasing the lattice spacing.…”

Section: Discussionmentioning

confidence: 88%

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
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We study the nature of the finite temperature phase transition for three-flavor QCD. In particular we investigate the location of the critical endpoint along the three flavor symmetric line in the light quark mass region of the Columbia plot. In the study, the Iwasaki gauge action and the nonperturvatively O(a) improved Wilson-Clover fermion action are employed. We newly generate data at Nt = 12 and set an upper bound of the critical pseudoscalar meson mass in the continuum limit mPS,E 110 MeV.

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Section: Discussionmentioning

confidence: 88%

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
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“…However for both staggered as well as Wilson fermions, the first order region tends to shrink when the lattice spacings are made finer. In a very insightful report [58] it has been motivated that as one approaches the continuum limit, the first order region for N f = 3 or even N f = 4 will shrink even further. For more updates on the status of critical m π for N f = 4 QCD with Wilson fermions, see [59].…”

Section: Towards Understanding the Columbia Plotmentioning

confidence: 99%

Recent Progress on the QCD Phase Diagram

Sharma¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Recent progress and the latest results on the bulk thermodynamic properties of QCD matter from lattice is reviewed. In particular I will stress upon the fact that lattice techniques are now entering into precision era where they can provide us with new insights on even the microscopic degrees of freedom in different phases of QCD. I will discuss some instances from the recent studies of topological fluctuations and screening masses. The progress towards understanding the effects of anomalous U A (1) symmetry on the chiral crossover transition and transport properties of QCD matter will also be discussed.

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“…First, in view of the apparent strong reduction of the chiral first order region, we would like to understand if a chiral tri-critical pion mass can still be located. The exploration of the QCD phase diagram at zero chemical potential, usually summarized in the so-called Columbia plot, has provided evidence for a general shrinking of the first order regions as the continuum limit is approached, and presently it is not even clear if a first order survives in the chiral limit for the N f = 4 or N f = 3 case [63], where standard universality arguments would predict it [64]. Therefore, the fact that a first order RW endpoint transition is still found in the chiral and continuum limit of N f = 2 + 1 QCD is not guaranteed.…”

Section: Introductionmentioning

confidence: 99%

Roberge-Weiss endpoint and chiral symmetry restoration in Nf=2+1 QCD

et al. 2019

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We investigate the fate of the Roberge-Weiss endpoint transition and its connection with the restoration of chiral symmetry as the chiral limit of N f = 2 + 1 QCD is approached. We adopt a stout staggered discretization on lattices with Nt = 4 sites in the temporal direction; the chiral limit is approached maintaining a constant physical value of the strange-to-light mass ratio and exploring three different light quark masses, corresponding to pseudo-Goldstone pion masses mπ ≃ 100, 70 and 50 MeV around the transition. A finite size scaling analysis provides evidence that the transition remains second order, in the 3D Ising universality class, in all the explored mass range. The residual chiral symmetry of the staggered action also allows us to investigate the relation between the Roberge-Weiss endpoint transition and the chiral restoration transition as the chiral limit is approached: our results, including the critical scaling of the chiral condensate, are consistent with a coincidence of the two transitions in the chiral limit; however we are not able to discern the symmetry controlling the critical behavior, because the critical indexes relevant to the scaling of the chiral condensate are very close to each other for the two possible universality classes (3D Ising or O(2)).

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Aspects of topological actions on the lattice

Cited by 7 publications

References 12 publications

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
View full text Add to dashboard Cite

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
View full text Add to dashboard Cite

Recent Progress on the QCD Phase Diagram

Roberge-Weiss endpoint and chiral symmetry restoration in Nf=2+1 QCD

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Aspects of topological actions on the lattice

Cited by 7 publications

References 12 publications

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(Kuramashi1, Nakamura2, Ohno3 et al. 2020Phys. Rev. D374450View full textAdd to dashboardCite

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(Kuramashi1, Nakamura2, Ohno3 et al. 2020Phys. Rev. D374450View full textAdd to dashboardCite

Recent Progress on the QCD Phase Diagram

Roberge-Weiss endpoint and chiral symmetry restoration in Nf=2+1 QCD

Contact Info

Product

Resources

About

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
View full text Add to dashboard Cite

Nature of the phase transition for finite temperature Nf=3 QCD with nonperturbatively O(
Kuramashi¹,
Nakamura²,
Ohno³
et al. 2020
Phys. Rev. D
37
4
45
0
View full text Add to dashboard Cite