Publisher’s Note: Lattice study of conformality in twelve-flavor QCD [Phys. Rev. D<b>86</b>, 054506 (2012)PRVDAQ1550-7998]

Aoki, Yasumichi; Aoyama, T.; Kurachi, Masayoshi; Maskawa, Toshihide; Nagai, Kazuo; Ohki, Hiroshi; Shibata, Akihiro; Yamawaki, Koichi; Yamazaki, Takeshi

doi:10.1103/physrevd.86.059903

Cited by 61 publications

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“…The most extensive measurements have been carried out for the case N f = 12 and include the following values: γ IR ∼ 0.414 ± 0.016 [27], γ IR ≃ 0.35 [28], γ IR ≃ 0.4 [29], γ IR = 0.27(3) [30], γ IR ≃ 0.25 [31], γ IR = 0.235(46) [32], and 0.2 < ∼ γ IR < ∼ 0.4 [33] (see [26]- [33] for discussions of estimates of overall uncertaintites in these measurements). Our value γ IR,∆ 4 = 0.338 and our extrapolated γ IR = 0.40 are consistent with this range of lattice measurements and are somewhat higher than the five-loop value γ IR,5ℓ = 0.255 from the conventional α series that we obtained in [22].…”

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confidence: 99%

Scheme-independent calculation of γψ¯ψ,IR for an SU(3) gauge theory

2016

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We present a scheme-independent calculation of the infrared value of the anomalous dimension of the fermion bilinear, γ ψψ,IR in an SU(3) gauge theory as a function of the number of fermions, N f , via a series expansion in powers of ∆ f , where ∆ f = (16.5 − N f ), to order ∆ 4 f . We perform an extrapolation to obtain the first determination of the exact γ ψψ,IR from continuum field theory. The results are compared with calculations of the n-loop values of this anomalous dimension from series in powers of the coupling and from lattice measurements.

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confidence: 99%

Scheme-independent calculation of γψ¯ψ,IR for an SU(3) gauge theory

2016

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“…One of the lasting controversies in this research avenue is the IR property of SU(3) gauge theory with 12 massless flavours in the fundamental representation. While several studies led to the result that this theory can contain an infrared fixed point (IRFP) [1,2,3,4,5,6,7], there is evidence to support the opposite conclusion [8].…”

Section: Introductionmentioning

confidence: 97%

SU(3) gauge theory with 12 flavours in a twisted box

Lin¹,

Ogawa²,

Ohki³

et al. 2015

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

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We present preliminary result for the step-scaling study of the coupling constant with the YangMills gradient flow, in the twelve-favour SU(3) gauge theory. In this work, the lattice simulation is performed using unimproved staggered fermions and the Wilson plaquette gauge action, from which the gradient flow is also implemented. Imposing twisted boundary condition a'la t'Hooft and Parisi, our calculation is performed at zero fermion mass. The renormalised coupling constant is extracted via the computation of the energy density. In order to examine the reliability of the continuum extrapolation, we investigate this coupling constant using two different lattice discretisations. Our result shows that in order to control the systematic effects in the continuum extrapolation, it is necessary to implement a large enough gradient-flow time. In the current calculation, the gauge-field averaging radius corresponding to the flow time has to be as large as 40% of the lattice size.

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“…In these QCD+QED calculations, isospin symmetry is explicitly broken as the up and down quarks have different charges q u q d . This means that at the physical point, 1+1+1 flavour simulations are needed [12], noting that the down and strange quark have different masses m d m s . This motivates us to seek improvements to the single flavour RHMC algorithm that parallel the advances made for the degenerate two flavour case.…”

Section: Introductionmentioning

confidence: 99%

“…[8][9][10][11][12]. In these QCD+QED calculations, isospin symmetry is explicitly broken as the up and down quarks have different charges q u q d .…”

Section: Introductionmentioning

confidence: 99%

Single flavour filtering for RHMC in BQCD

et al. 2018

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Abstract. Filtering algorithms for two degenerate quark flavours have advanced to the point that, in 2+1 flavour simulations, the cost of the strange quark is significant compared with the light quarks. This makes efficient filtering algorithms for single flavour actions highly desirable, in particular when considering 1+1+1 flavour simulations for QED+QCD. Here we discuss methods for filtering the RHMC algorithm that are implemented within BQCD, an open-source Fortran program for Hybrid Monte Carlo simulations.

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Publisher’s Note: Lattice study of conformality in twelve-flavor QCD [Phys. Rev. D86, 054506 (2012)PRVDAQ1550-7998]

Cited by 61 publications

References 0 publications

Scheme-independent calculation of γψ¯ψ,IR for an SU(3) gauge theory

Scheme-independent calculation of γψ¯ψ,IR for an SU(3) gauge theory

SU(3) gauge theory with 12 flavours in a twisted box

Single flavour filtering for RHMC in BQCD

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