Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED

Borsányi, Szabolcs; Dürr, Stephan; Fodor, Z.; Frison, Julien; Hoelbling, Christian; Katz, Sándor D.; Krieg, Stefan; Kurth, T.; Lellouch, Laurent; Lippert, Th.; Portelli, Antonin; Ramos, Alberto; Sastre, Alfonso; Szabó, Kornélia

doi:10.1103/physrevlett.111.252001

Cited by 89 publications

(118 citation statements)

References 31 publications

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“…On the lattice this is done by including the QED action into the functional integral. Due to the involved computational costs this is a very recent endeavour, with results being presented in [284,285]. We will not discuss further the topic here due to constraints of space.…”

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

438

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

438

530

View full text Add to dashboard Cite

show abstract

“…In some instances, the up-and down-quark masses and quenched Quantum Electrodynamics (QED) have been included in an effort to precisely post-dict the observed isospin splittings in the spectrum of hadrons [4,[6][7][8][9][10][11][12][13]. While naively appearing to be a simple extension of pure LQCD calculations, there are subtleties associated with including QED.…”

Section: Introductionmentioning

confidence: 99%

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

2014

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Now that Lattice QCD calculations are beginning to include QED, it is important to better understand how hadronic properties are modified by finite-volume QED effects. They are known to exhibit power-law scaling with volume, in contrast to the exponential behavior of finite-volume strong interaction effects. We use non-relativistic effective field theories describing the low-momentum behavior of hadrons to determine the finite-volume QED corrections to the masses of mesons, baryons and nuclei out to O 1/L 4 in a volume expansion, where L is the spatial extent of the cubic volume. This generalizes the previously determined expansion for mesons, and extends it by two orders in 1/L to include contributions from the charge radius, magnetic moment and polarizabilities of the hadron. We make an observation about direct calculations of the muon g − 2 in a finite volume.

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“…In particular, hadronic spectra and other hadronic observables are now being calculated in the presence of both isospin violation from the light-quark masses and Quantum Electrodynamics (QED) [1][2][3][4][5][6][7][8][9][10][11]. QED plays a critical role in the stability and structure of nuclei, and therefore first principles calculations of nuclear structure require the inclusion of the electromagnetic (EM) interactions among quarks.…”

Section: Introductionmentioning

confidence: 99%

Two-particle elastic scattering in a finite volume including QED

2014

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The presence of long-range interactions violates a condition necessary to relate the energy of two particles in a finite volume to their S-matrix elements in the manner of Lüscher. While in infinite volume, QED contributions to low-energy charged particle scattering must be resummed to all orders in perturbation theory (the Coulomb ladder diagrams), in a finite volume the momentum operator is gapped, allowing for a perturbative treatment. The leading QED corrections to the two-particle finite-volume energy quantization condition below the inelastic threshold, as well as approximate formulas for energy eigenvalues, are obtained. In particular, we focus on two spinless hadrons in the A + 1 irreducible representation of the cubic group, and truncate the strong interactions to the s-wave. These results are necessary for the analysis of Lattice QCD+QED calculations of charged-hadron interactions, and can be straightforwardly generalized to other representations of the cubic group, to hadrons with spin, and to include higher partial waves.

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Isospin Splittings in the Light-Baryon Octet from Lattice QCD and QED

Cited by 89 publications

References 31 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei

Two-particle elastic scattering in a finite volume including QED

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