Lattice Methods for Hadron Spectroscopy

Ryan, Sinéad M.

doi:10.1007/978-3-319-08022-2_2

Cited by 4 publications

(4 citation statements)

References 230 publications

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“…Up to a momentum value of P = (1, 1, 2), the plateaus obtained are very clean, and we are able to fit starting from t = 9, with our fit windows ending at t ≥ 13. At the three highest momenta values considered P = (2, 2, 2), (1,3,3) and (3,3,3), finding a suitable fit window is more challenging. The signal at higher momenta forces the fits to be made at earlier times, and hence increases the risk of fitting in a region where true single state dominance has not been achieved.…”

Section: 3 × 64 Resultsmentioning

confidence: 99%

“…The field of lattice QCD has developed far beyond the study of static observables like masses and decay constants. Modern numerical calculations are now pursuing a range of more advanced baryonic observables, for example: excited-state spectroscopy [1][2][3][4]; hadron structure [5,6]; weak transition matrix elements [7][8][9][10]; nuclear interactions and electroweak processes [11][12][13]; and the inclusion of dynamical quantum electrodynamics [14,15]. This expanded scope of observables brings new challenges to extract quantities that typically have much weaker statistical signals than the conventional static observables.…”

Section: Introductionmentioning

confidence: 99%

“…(1,3,3),(3, 3, 3)}, with results shown for N = 1 (black square), 4, (blue triangle) and 8 (red circle) source locations in Figures 6-8. To separate the source locations…”

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confidence: 99%

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Accessing high-momentum nucleons with dilute stochastic sources

Kamleh

Leinweber

et al. 2018

J. Phys. G: Nucl. Part. Phys.

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A novel stochastic technique combining a dilute source grid of Z3 noise with iterative momentumsmearing is used to study the proton correlation function at rest and in boosted frames on two lattice volumes. The technique makes use of the baryonic version of the so-called one-end trick, and the decomposition into signal and noise terms of the resulting stochastic proton correlation function is made explicit. The number and location of the source points in the dilute grid should be chosen so that the benefits of averaging over many locations overcomes the additional statistical error introduced by the noise terms in the desired fitting region. At all nontrivial momentum values considered we find that the choice of N = 4-8 maximally separated source locations is shown to be optimal, providing a reduced statistical error when compared with a single point source. This enables us to successfully fit the proton energy at momentum values as high as | p| 3.75 GeV and | p| 2.82 GeV on the small and large volume respectively.I.

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Section: 3 × 64 Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Accessing high-momentum nucleons with dilute stochastic sources

Kamleh

Leinweber

et al. 2018

J. Phys. G: Nucl. Part. Phys.

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“…We use singleexponential correlated fits, and the time ranges are selected using a variation of "fit histogram" method from ref. [50]. For each t min , t max we calculate the quantity measuring the "fit quality":…”

Section: A21 Finding Plateau Ranges For the Mass Extractionmentioning

confidence: 99%

The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus

Pérez

González-Arroyo

Koren

et al. 2018

J. High Energ. Phys.

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We compute and analyse the low-lying spectrum of 2+1 dimensional SU(N ) Yang-Mills theory on a spatial torus of size l × l with twisted boundary conditions. This paper extends our previous work [1]. In that paper we studied the sector with non-vanishing electric flux and concluded that the energies only depend on the parameters through two combinations: x = λN l/(4π) (with λ the 't Hooft coupling) and the twist angleθ defined in terms of the magnetic flux piercing the two-dimensional box. Here we made a more complete study and we are able to condense our results, obtained by non-perturbative lattice methods, into a simple expression which has important implications for the absence of tachyonic instabilities, volume independence and non-commutative field theory. Then we extend our study to the sector of vanishing electric flux. We conclude that the onset of the would-be large-volume glueball states occurs at an approximately fixed value of x, much before the stringy torelon states have become very massive.

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Resonances in QCD

et al. 2016

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We report on the EMMI Rapid Reaction Task Force meeting 'Resonances in QCD', which took place at GSI October 12-14, 2015. A group of 26 people met to discuss the physics of resonances in QCD. The aim of the meeting was defined by the following three key questions:. •What is needed to understand the physics of resonances in QCD?•Where does QCD lead us to expect resonances with exotic quantum numbers?•What experimental efforts are required to arrive at a coherent picture? For light mesons and baryons only those with up, down and strange quark content were considered. For heavy-light and heavy-heavy meson systems, those with charm quarks were the focus.This document summarizes the discussions by the participants, which in turn led to the coherent conclusions we present here. © 2016 Elsevier B.V

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Lattice Methods for Hadron Spectroscopy

Cited by 4 publications

References 230 publications

Accessing high-momentum nucleons with dilute stochastic sources

Accessing high-momentum nucleons with dilute stochastic sources

The spectrum of 2+1 dimensional Yang-Mills theory on a twisted spatial torus

Resonances in QCD

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