Fine lattice simulations with chirally symmetric fermions

Noaki, J.; Aoki, Sinya; Cossu, Guido; Fukaya, Hidenori; Hashimoto, S.; Kaneko, T.

doi:10.22323/1.187.0263

Cited by 12 publications

(17 citation statements)

References 9 publications

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“…As already reported in [1], we found a long thermalization time for the finer lattices at β = 4.35. It gives a warning that the thermalization and autocorrelation should be monitored and checked for various quantities covering both gluonic and fermionic observables.…”

Section: Thermalization and Autocorrelationsupporting

confidence: 89%

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Fine lattice simulations with the Ginsparg-Wilson fermions

Noaki¹

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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We present the status of 2+1-flavor QCD simulations with the Möbius domain-wall fermions at lattice spacings of a −1 = 2.4 and 3.6 GeV. Violation of the Ginsparg-Wilson relation measured by the residual mass is below 0.5 MeV or lower. After giving an overview of the gauge ensemble generation, we discuss the scale setting by the Yang-Mills flow observables in detail. We also discuss autocorrelations in the hybrid Monte Carlo simulations and correlations between lighthadron correlators and the topological charge.

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Section: Thermalization and Autocorrelationsupporting

confidence: 89%

“…The tree-level improved Symanzik action is employed for the gauge sector. The formalism and the status at an earlier stage were presented in [1]. For the development of our simulation code, see [2].…”

Section: Overview Of Numerical Simulationmentioning

confidence: 99%

Fine lattice simulations with the Ginsparg-Wilson fermions

Noaki¹

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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“…We are studying N f = 2 QCD with tree-level Symanzik improved gauge action and smeared Möbius domain-wall fermions. The details of this fermonic action were reported in the proceedings of the previous lattice conference [11] and are the same as our zero temperature simulations [13]. Simulation points cover a region of temperatures between 150 and 250 MeV with up to three different masses for the points just above the phase transition.…”

Section: Discussionmentioning

confidence: 99%

Axial U(1) symmetry at finite temperature with Mobius domain-wall fermions

Cossu¹,

Fukaya²,

Hashimoto³

et al. 2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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We investigate the axial U(1) symmetry restoration at finite temperature in two flavor QCD. We employ the Möbius domain-wall formalism that is designed to achieve good chiral symmetry. We show the measurements of a difference of meson susceptibilities, sensitive to the U(1) A symmetry breaking. The signal is dominated by zero and near-zero modes. By reweighting the measure to that of overlap fermions we find a suppression of the U(1) A breaking effects above the chiral transition temperature.

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“…Möbius domain-wall fermions. The details of this fermonic action are reported in [13] and are the same as our zero temperature simulations [15]. Simulation points cover a region of temperatures between 150 and 250 MeV with up to three different masses for the points just above the phase transition.…”

Section: Pos(lattice 2015)196mentioning

confidence: 99%

On the axial U(1) symmetry at finite temperature

Cossu¹,

Fukaya²,

Hashimoto³

et al. 2016

Proceedings of the 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015)

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We study the U(1) A anomaly in two-flavor lattice QCD at finite temperature with the Möbius domain-wall Dirac operator. We generate gauge configurations in the temperature range (0.9, 1.2)T c on different physical volumes, L = 2-4 fm, and lattice spacings. We measure the difference of the susceptibilities of the flavor non-singlet scalar (χ δ) and pseudoscalar (χ π) mesons. They are related by an axial U(1) transformation and the difference vanishes if the axial U(1) symmetry is respected. We identify the source of axial U(1) symmetry breaking at finite temperature in the lowest eigenmodes, for the observable χ π − χ δ. We then reweight the Möbius domainwall fermion partition function to that of the overlap-Dirac operator to fully recover chiral symmetry. Our data show a significant discrepancy in the results coming from the Möbius domainwall valence quarks, the overlap valence quarks on our DWF configurations and the reweighted ones that have full chiral symmetry. After recovering full chiral symmetry we conclude that the difference χ π − χ δ shows a suppression in the chiral limit that is compatible with an effective restoration of U(1) A at T T c in the scalar meson channels.

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Fine lattice simulations with chirally symmetric fermions

Cited by 12 publications

References 9 publications

Fine lattice simulations with the Ginsparg-Wilson fermions

Fine lattice simulations with the Ginsparg-Wilson fermions

Axial U(1) symmetry at finite temperature with Mobius domain-wall fermions

On the axial U(1) symmetry at finite temperature

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