Novel quark-field creation operator construction for hadronic physics in lattice QCD

Peardon, Mike; Bulava, John; Foley, J.; Morningstar, Colin; Dudek, Jozef J.; Edwards, Robert G.; Joó, Bálint; Lin, Huey-Wen; Richards, David; Juge, Keisuke Jimmy

doi:10.1103/physrevd.80.054506

Cited by 351 publications

(388 citation statements)

References 32 publications

(48 reference statements)

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“…Unfortunately, the noise increases both with τ and the number of operators used; in practice this enforces a guided selection of operators with maximal overlap with the ground and lowest excited states in a given channel. There are a number of technical tools ('quark source smearing' [261,262], 'distillation' [263], AMIAS [264], etc.) to increase the signal-to-noise ratio that have been suggested, refined and successfully applied over the years.…”

Section: Extracting the Hadron Spectrum From Qcdmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

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: Extracting the Hadron Spectrum From Qcdmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

418

530

View full text Add to dashboard Cite

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“…The rather small volume V = 16 3 × 32 (L ≃ 2 fm) simplifies the use of the powerful full distillation method [29], which allows for the computation of all contractions for the correlation matrix with qq and V π interpolators. A small box also has the advantage that the effect of ρ → 2π and ω → 3π is less significant in our simulation with total momentum zero.…”

Section: Lattice Setupmentioning

confidence: 99%

“…(5.1), (5.2) are smeared according to the distillation method [29], thus effectively replaced by The energy spectrum E n is extracted from the correlation matrix…”

Section: Jhep04(2014)162mentioning

confidence: 99%

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Lang

Leskovec

Mohler

et al. 2014

J. High Energ. Phys.

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Abstract:The light axial-vector resonances a 1 (1260) and b 1 (1235) are explored in N f = 2 lattice QCD by simulating the corresponding scattering channels ρπ and ωπ. Interpolating fields qq and ρπ or ωπ are used to extract the s-wave phase shifts for the first time. The ρ and ω are treated as stable and we argue that this is justified in the considered energy range and for our parameters m π ≃ 266 MeV and L ≃ 2 fm. We neglect other channels that would be open when using physical masses in continuum. Assuming a resonance interpretation a Breit-Wigner fit to the phase shift gives the a 1 (1260) resonance mass m res a 1 = 1.435(53)( +0 −109 ) GeV compared to m exp a 1 = 1.230(40) GeV. The a 1 width Γ a 1 (s) ≡ g 2 p/s is parametrized in terms of the coupling and we obtain g a 1 ρπ = 1.71(39) GeV compared to g exp a 1 ρπ = 1.35(30) GeV derived from Γ exp a 1 = 425(175) MeV. In the b 1 channel, we find energy levels related to π(0)ω(0) and b 1 (1235), and the lowest level is found at E 1 m ω + m π but is within uncertainty also compatible with an attractive interaction. Assuming the coupling g b 1 ωπ extracted from the experimental width we estimate m res b 1 = 1.414(36) +0 −83 .

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“…We use the distillation framework [50] which enables us to efficiently compute correlation functions involving operators with various structures where each operator is projected onto a definite momentum. In table 1 we give the number of distillation vectors, N vecs , used on each lattice volume, along with the number of time-sources used per configuration, N tsrcs .…”

Section: Finite-volume Spectramentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

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172

266

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We present the first lattice QCD study of coupled-channel Dπ, Dη and D sK scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher's method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at m π ≈ 391 MeV, we find a pole corresponding to a J P = 0 + near-threshold bound state with a large coupling to Dπ. We also find a deeply bound J P = 1 − state, and evidence for a J P = 2 + narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.

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Novel quark-field creation operator construction for hadronic physics in lattice QCD

Cited by 351 publications

References 32 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

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