Development of an object oriented lattice QCD code "Bridge++"

Ueda, Satoru; Aoki, Sadao; Aoyama, T.; Kanaya, K.; Matsufuru, Hideo; Motoki, Shinji; Namekawa, Yusuke; Nemura, Hidekatsu; Taniguchi, Yusuke; Ukita, N.

doi:10.1088/1742-6596/523/1/012046

Cited by 43 publications

(31 citation statements)

References 2 publications

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“…The main part of our calculation code is based on the Bridge++ code [45,46]. We thank the JLQCD and CP-PACS Collaborations for providing their 2+1 configurations [38,39].…”

Section: Acknowledgementsmentioning

confidence: 99%

${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators

Akahoshi

Aoki

Aoyama

et al. 2019

Progress of Theoretical and Experimental Physics

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In this paper, we perform the first application of the hybrid method (exact low modes plus stochastically estimated high modes) for all-to-all propagators to the HAL QCD method. We calculate the HAL QCD potentials in the I = 2 ππ scattering in order to see how statistical fluctuations of the potential behave under the hybrid method. All of the calculations are performed with the 2+1 flavor gauge configurations on a 16 3 × 32 lattice at the lattice spacing a ≈ 0.12 fm and m π ≈ 870 MeV. It is revealed that statistical errors for the potential are enhanced by stochastic noises introduced by the hybrid method, which, however, are shown to be reduced by increasing the level of dilutions, in particular, that of space dilutions. From systematic studies, we obtain a guiding principle for a choice of dilution types/levels and a number of eigenvectors to reduce noise contamination to the potential while keeping numerical costs reasonable. We also confirm that we can obtain the scattering phase shifts for the I = 2 ππ system by the hybrid method within a reasonable numerical cost; these phase shifts are consistent with the result obtained with the conventional method. The knowledge that we obtain in this study will become useful for the investgation of hadron resonances that require quark annihilation diagrams such as the ρ meson by the HAL QCD potential with the hybrid method. arXiv:1904.09549v2 [hep-lat]

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“…The main part of our calculation code is based on the Bridge++ code [45,46]. We thank the JLQCD and CP-PACS Collaborations for providing their 2+1 configurations [38,39].…”

Section: Acknowledgementsmentioning

confidence: 99%

${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators

Akahoshi

Aoki

Aoyama

et al. 2019

Progress of Theoretical and Experimental Physics

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“…Using data in the outside region of R, an alternative interacting momentum k 2 s in Eq. (19) can be determined, which is more precise than k 2 t [5]. We obtain k 2 s from a constant fit to −∆φ(x; k)/φ(x; k) with the fit range of [x min , x max ] = [10, 12 √ 3].…”

Section: Sufficient Conditionmentioning

confidence: 99%

“…Our simulation was performed on COMA under Interdisciplinary Computational Science Program of Center for Computational Sciences, University of Tsukuba. This work is based on Bridge++ code (http://bridge.kek.jp/Lattice-code/) [19]. This work is supported in part by JSPS KAKENHI Grant Numbers 16H06002 and 18K03638.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

Namekawa

Yamazaki

2019

Phys. Rev. D

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We evaluate scattering amplitudes at on-shell and half off-shell for I = 2 S-wave two-pion system using the Bethe-Salpeter wave function inside the interaction range in the quenched QCD. The scattering length and effective range are extracted from these scattering amplitudes. Quark mass dependence of them is investigated with the pion mass ranged in 0.52-0.86 GeV. We examine consistency between a result by the conventional finite volume method and our estimate, as well as the phenomenological value.

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“…This work is in part based on Bridge++ code (see, for details, http://bridge.kek.jp/Lattice-code/ and ref. [74]…”

Section: Acknowledgmentsmentioning

confidence: 99%

Is N = 2 Large?

Kitano

Yamada

Yamazaki

2021

J. High Energ. Phys.

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We study θ dependence of the vacuum energy for the 4d SU(2) pure Yang-Mills theory by lattice numerical simulations. The response of topological excitations to the smearing procedure is investigated in detail, in order to extract topological information from smeared gauge configurations. We determine the first two coefficients in the θ expansion of the vacuum energy, the topological susceptibility χ and the first dimensionless coefficient b2, in the continuum limit. We find consistency of the SU(2) results with the large N scaling. By analytic continuing the number of colors, N , to non-integer values, we infer the phase diagram of the vacuum structure of SU(N) gauge theory as a function of N and θ. Based on the numerical results, we provide quantitative evidence that 4d SU(2) Yang-Mills theory at θ = π is gapped with spontaneous breaking of the CP symmetry.

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Development of an object oriented lattice QCD code "Bridge++"

Cited by 43 publications

References 2 publications

${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators

${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators

Quark mass dependence of on-shell and half off-shell scattering amplitudes from Bethe-Salpeter wave function inside the interaction range

Is N = 2 Large?

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