Scale setting the Möbius domain wall fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales 
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Miller, Nolan; Carpenter, Logan C; Berkowitz, Evan; Chang, Chia Cheng; Hörz, Ben; Howarth, Dean; Monge-Camacho, Henry; Rinaldi, Enrico; Brantley, David; Körber, Christopher; Bouchard, C.; Clark, M. A.; Gambhir, Arjun Singh; Monahan, Christopher; Nicholson, Amy; Vranas, P.; Walker-Loud, André

doi:10.1103/physrevd.103.054511

Cited by 18 publications

(21 citation statements)

References 114 publications

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“…• Solving MDWF Dirac equations for the light quark determinants in the evolution phase of the RBC/UKQCD collaborations' RBC96 lattice. The results are shown in figure 5 and [18,19]. The results are shown in figure 6 and table 4.…”

Section: Resultsmentioning

confidence: 91%

Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs

Clark

Jung

et al. 2021

Proceedings of the Platform for Advanced Scientific Computing Conference

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We show that using the multi-splitting algorithm as a preconditioner for the domain wall Dirac linear operator, arising in lattice QCD, effectively reduces the inter-node communication cost, at the expense of performing more on-node floating point and memory operations. Correctly including the boundary snake terms, the preconditioner is implemented in the QUDA framework, where it is found that utilizing kernel fusion and the tensor cores on NVIDIA GPUs is necessary to achieve a sufficiently performant preconditioner. A reduced-dimension (reduced-L s ) strategy is also proposed and tested for the preconditioner. We find the method achieves lower time to solution than regular CG at high node count despite the additional local computational requirements from the preconditioner. This method could be useful for supercomputers with more on-node flops and memory bandwidth than inter-node communication bandwidth.

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Section: Resultsmentioning

confidence: 91%

Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs

Clark

Jung

et al. 2021

Proceedings of the Platform for Advanced Scientific Computing Conference

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“…The results presented here are part of a larger body of work including strong isospin breaking contributions, the meson and octet spectrum, QED effects on the Ω − baryon mass which is frequently used to set the lattice scale (e.g. [6,19]), QED corrections to 𝑔 𝐴 , investigations of the Λ 0 − Σ 0 mixing and QED corrections required for CKM physics. We are also numerically testing the scheme proposed in [20] to separate strong and weak isospin breaking effects.…”

Section: Discussionmentioning

confidence: 99%

“…We now want to scrutinise the contribution of the spatial zero modes in Eq. (19). The integral I can be simplified using polar coordinates In Fig.…”

Section: Zero Modesmentioning

confidence: 99%

“…Numerically, we utilise the mixed-action set-up established by the CalLat collaboration [16] using gauge field configurations with 𝑁 𝑓 = 2 + 1 + 1 dynamical highly improved (rooted) staggered quarks (HISQ) [17] in the sea which are gradient flowed prior to inverting Möbius domain wall fermions in the valence sector. We use the a12m31 (from MILC [18]) and a12m31 XL (from CalLat [19]) ensembles. These ensembles have a lattice spacing 𝑎 ≈ 0.12 fm, identical sea quark masses resulting in a pion mass of approximately 310 MeV and 4-volumes of 𝐿 3 × 𝑇/𝑎 4 = 24 3 × 64 and 48 3 × 64.…”

Section: Computational Set-upmentioning

confidence: 99%

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QED with massive photons for precision physics: zero modes and first result for the hadron spectrum

Clark¹,

Morte²,

Hall³

et al. 2022

Preprint

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The current precision reached by lattice QCD calculations of low-energy hadronic observables, requires not only the introduction of electromagnetic corrections, but also control over all the potential systematic uncertainties introduced by the lattice version of QED. Introducing a massive photon as an infrared regulator in lattice QED, provides a well defined theory, dubbed QED M , amenable to numerical evaluation [1]. The photon mass is removed through extrapolation. In this contribution we scrutinise aspects of QED M such as the presence and fate of the zero modes contributions and we describe the determination of the photon mass corrections in finite and infinite volume. We demonstrate that the required extrapolations are well controlled using numerical data obtained on two ensembles which only differ in volume.

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“…Here the lattice spacings range from ∼0.06 fm (purple) to ∼0.15 fm (red). We convert from lattice units to physical units by scale setting with 𝑀 Ω and the gradient flow scale 𝑤 0 [16]. The violet bands denote the physical point values of each observable; for 𝑀 Ξ in particular, discrepancies between the physical point and the physical pion mass ensembles vanish once corrected for strange quark mistuning and lattice spacing effects.…”

Section: Background: |𝑉 𝑢𝑠 | From Hyperon Decaysmentioning

confidence: 99%

The hyperon spectrum from lattice QCD

Miller¹,

Bradley²,

Clark³

et al. 2022

Preprint

Self Cite

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Hyperon decays present a promising alternative for extracting |𝑉 𝑢𝑠 | from lattice QCD combined with experimental measurements. Currently |𝑉 𝑢𝑠 | is determined from the kaon decay widths and a lattice calculation of the associated form factor. In this proceeding, I will present preliminary work on a lattice determination of the hyperon mass spectrum. I will additionally summarize future goals in which we will calculate the hyperon transition matrix elements, which will provide an alternative means for accessing |𝑉 𝑢𝑠 |. This work is based on a particular formulation of SU(2) chiral perturbation theory for hyperons; determining the extent to which this effective field theory converges is instrumental in understanding the limits of its predictive power, especially since some hyperonic observables are difficult to calculate near the physical pion mass (e.g., hyperonto-nucleon form factors), and thus the use of heavier than physical pion masses is likely to yield more precise results when combined with extrapolations to the physical point.

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Scale setting the Möbius domain wall fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales t0 and w0

Cited by 18 publications

References 114 publications

Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs

Solving DWF dirac equation using multi-splitting preconditioned conjugate gradient with tensor cores on NVIDIA GPUs

QED with massive photons for precision physics: zero modes and first result for the hadron spectrum

The hyperon spectrum from lattice QCD

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