Dressed-Quark Anomalous Magnetic Moments

Chang, Lei; Liu, Yuxin; Roberts, C. D.

doi:10.1103/physrevlett.106.072001

Cited by 212 publications

(326 citation statements)

References 27 publications

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“…Similar results have been found in Ref. [245] using a different framework. Notice in particular the results for the three exotic channels obtained in the 2PI truncation: the π 1 (1400) and π 1 (1600) with 1 −+ , which are nonrelativistically forbidden as qq states, are well reproduced beyond rainbow-ladder.…”

Section: Mesonssupporting

confidence: 79%

“…There is, however, a different scheme [244,245] by which a Bethe-Salpeter kernel can be constructed that is also in accord with the axial WTI. To explain the basic ideas we need to anticipate some of the discussion in Secs …”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…Notably, the importance of terms that are correlated with dynamical chiral symmetry breaking and the anomalous chromomagnetic moment has been argued [245,246,381]. Their coefficients are provided by ansatz, whose judicious choice enables the model to improve upon rainbow-ladder in several respects; e.g.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…[245] it was argued that a large chromomagnetic AMM in the quark-gluon vertex beyond rainbowladder would also translate into a large electromagnetic AMM for the quark-photon vertex. Such AMMs have since been introduced in nucleon form factor model calculations where they were found to improve agreement with the data at moderately low Q 2 [505].…”

Section: Dyson-schwinger Calculationsmentioning

confidence: 99%

“…Exploratory lattice results are available in the quenched approximation [223], with unquenched updates under way. In the DSE framework the quark-gluon vertex has been tackled with three different strategies: (i) nonperturbative ansätze for selected tensor structures, constructed along continuations of resummed perturbation theory into the infrared and supplemented with information from the Slavnov-Taylor identities [189,222,[242][243][244][245][246][247]; (ii) explicit solutions of approximated Slavnov-Taylor identities [207]; and (iii) numerical solutions of truncations of the quark-gluon vertex DSE and FRGE [209,213,215,[248][249][250][251][252][253][254][255][256]. At least on a quantitative level the results from these approaches are not in very good agreement with each other.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

See 4 more Smart Citations

Baryons as relativistic three-quark bound states

Eichmann

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et al. 2016

Progress in Particle and Nuclear Physics

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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: Mesonssupporting

confidence: 79%

Section: Approximations and Truncationsmentioning

confidence: 99%

Section: Approximations and Truncationsmentioning

confidence: 99%

Section: Dyson-schwinger Calculationsmentioning

confidence: 99%

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

See 3 more Smart Citations

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

show abstract

Masses of Ground- and Excited-State Hadrons

et al. 2011

Self Cite

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We present the first Dyson-Schwinger equation calculation of the light hadron spectrum that simultaneously correlates the masses of meson and baryon ground-and excited-states within a single framework. At the core of our analysis is a symmetry-preserving treatment of a vector-vector contact interaction. In comparison with relevant quantities the root-mean-square-relative-error/degreeof freedom is 13%. Notable amongst our results is agreement between the computed baryon masses and the bare masses employed in modern dynamical coupled-channels models of pion-nucleon reactions. Our analysis provides insight into numerous aspects of baryon structure; e.g., relationships between the nucleon and ∆ masses and those of the dressed-quark and diquark correlations they contain.

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Looking into the Matter of Light-Quark Hadrons

Roberts

2011

Few-Body Syst

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In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's β-function, a key nonperturbative quantity in hadron physics. The Dyson-Schwinger equations provide a tool with which to work toward this goal. They connect confinement with dynamical chiral symmetry breaking, both with the observable properties of hadrons, and hence can plausibly provide a means of elucidating the material content of real-world QCD. This contribution illustrates these points via comments on: in-hadron condensates; dressed-quark anomalous chromo-and electro-magnetic moments; the spectra of mesons and baryons, and the critical role played by hadron-hadron interactions in producing these spectra.

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Dressed-Quark Anomalous Magnetic Moments

Cited by 212 publications

References 27 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Masses of Ground- and Excited-State Hadrons

Looking into the Matter of Light-Quark Hadrons

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