<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>flavor lattice QCD toward the physical point

Aoki, Sinya; Ishikawa, Ken-ichi; Ishizuka, N.; Izubuchi, Taku; Kadoh, Daisuke; Kanaya, K.; Kuramashi, Y.; Namekawa, Yusuke; Okawa, M.; Taniguchi, Yusuke; Ukawa, A.; Ukita, N.; Yoshié, T.

doi:10.1103/physrevd.79.034503

Cited by 410 publications

(414 citation statements)

References 74 publications

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“…The lattice data are a typical example of such calculations [399]; many other groups have performed similar simulations with results that agree very well with each other [400,405,[414][415][416][417][418], see e.g. Fig.…”

Section: Octet and Decuplet Baryonsmentioning

confidence: 66%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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Section: Octet and Decuplet Baryonsmentioning

confidence: 66%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

View full text Add to dashboard Cite

show abstract

“…The result in the first row is obtained by using f = 124.8(5.1) MeV in the SU(2) chiral limit [10], while that in the second row by substituting the measured values of f π .…”

Section: Chpt Analysis To Nnlomentioning

confidence: 99%

“…We apply our calculational setup to a subset of the PACS-CS gauge configurations [10] corresponding to the degenerate up-down hopping parameter in the set κ ud = {0.13700, 0.13727, 0.13754, 0.13770}. The hopping parameter of strange quark is fixed at κ s = 0.1364.…”

Section: Measurementsmentioning

confidence: 99%

“…For the former fit we use (30) to reexpand the expression for the form factor to the necessary order, and use the value of f obtained in [10]. Besides the pion decay constant the ChPT formula of the form factor to NNLO depends on 5 other LECs:…”

Section: Chpt Analysis To Nnlomentioning

confidence: 99%

“…For measurements we employ the N f = 2 + 1 PACS-CS gauge configurations generated on a 32 3 × 64 lattice using the Iwasaki gauge action and the Wilson-clover action at a lattice spacing estimated to be a = 0.0907(13) fm at the physical point [10]. Since the pion mass on this gauge configuration set covers the range from M π ≈ 700MeV down to 156 MeV, we are able to examine both the known range above M π ≈ 300MeV and a novel range below toward the physical pion mass.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD

Nguyen

Ishikawa

Ukawa

et al. 2011

J. High Energ. Phys.

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We present a calculation of the electromagnetic form factor of the pion in N f = 2+1 flavor lattice QCD. Calculations are made on the PACS-CS gauge field configurations generated using Iwasaki gauge action and Wilson-clover quark action on a 32 3 × 64 lattice volume with the lattice spacing estimated as a = 0.0907(13) fm at the physical point. Measurements of the form factor are made using the technique of partially twisted boundary condition to reach small momentum transfer as well as periodic boundary condition with integer momenta.Additional improvements including random wall source techniques and a judicious choice of momenta carried by the incoming and outgoing quarks are employed for error reduction.Analyzing the form factor data for the pion mass at M π ≈ 411 MeV and 296 MeV, we find that the NNLO SU(2) chiral perturbation theory fit yields r 2 = 0.441 ± 0.046 fm 2 for the pion charge radius at the physical pion mass. Albeit the error is quite large, this is consistent with the experimental value of 0.452 ± 0.011 fm 2 . Below M π ≈ 300 MeV, we find that statistical fluctuations in the pion two-and three-point functions become too large to extract statistically meaningful averages on a 32 3 spatial volume. We carry out a sample calculation on a 64 4 lattice with the quark masses close to the physical point, which suggests that form factor calculations at the physical point become feasible by enlarging lattice sizes to M π L ≈ 4.

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A survey of subspace recycling iterative methods

2020

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This survey concerns subspace recycling methods, a popular class of iterative methods that enable effective reuse of subspace information in order to speed up convergence and find good initial vectors over a sequence of linear systems with slowly changing coefficient matrices, multiple right-hand sides, or both. The subspace information that is recycled is usually generated during the run of an iterative method (usually a Krylov subspace method) on one or more of the systems. Following introduction of definitions and notation, we examine the history of early augmentation schemes along with deflation preconditioning schemes and their influence on the development of recycling methods. We then discuss a general residual constraint framework through which many augmented Krylov and recycling methods can both be viewed. We review several augmented and recycling methods within this framework. We then discuss some known effective strategies for choosing subspaces to recycle before taking the reader through more recent developments that have generalized recycling for (sequences of) shifted linear systems, some of them with multiple right-hand sides in mind. We round out our survey with a brief review of application areas that have seen benefit from subspace recycling methods.

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2+1flavor lattice QCD toward the physical point

Cited by 410 publications

References 74 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD

A survey of subspace recycling iterative methods

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