Sketching the Bethe-Salpeter Kernel

Chang, Lei; Roberts, C. D.

doi:10.1103/physrevlett.103.081601

Cited by 284 publications

(403 citation statements)

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“…At lowest-order in a symmetry-preserving truncation of the model's DSEs [40], one finds algebraically that m π = 0, m σ = 2M [41]. Corrections to the leading order truncation do not change m π but markedly increase m σ [42]. Degeneracy of the lowest excitations in the pseudoscalar and scalar channels is only achieved when M = 0; i.e., if chiral symmetry is not dynamically broken.…”

Section: Consistency With Empirical Informationmentioning

confidence: 99%

Confinement contains condensates

et al. 2012

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Dynamical chiral symmetry breaking and its connection with the generation of hadron masses has historically been viewed as a vacuum phenomenon. We argue that confinement makes such a position untenable. If quark-hadron duality is a reality in QCD, then condensates, those quantities that were commonly viewed as constant empirical mass-scales that fill all spacetime, are instead wholly contained within hadrons; viz., they are a property of hadrons themselves and expressed, e.g., in their Bethe-Salpeter or light-front wave functions. We explain that this paradigm is consistent with empirical evidence, and incidentally expose misconceptions in a recent Comment.Comment: 10 pages, 2 figure

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Section: Consistency With Empirical Informationmentioning

confidence: 99%

Confinement contains condensates

et al. 2012

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“…diquarks on the other hand. Whereas pseudoscalar and vector mesons are well described in rainbow-ladder, scalar and axialvector mesons come out too light [308,332] -which can be remedied with more sophisticated truncations [209,244]. Thus the diquarks will inherit this behaviour: the scalar and axialvector diquarks which are mainly responsible for positive-parity baryons are reliable, whereas the pseudoscalar and vector diquarks will produce negativeparity baryons that are also too light and acquire repulsive shifts beyond rainbow-ladder.…”

Section: Approximations and Truncationsmentioning

confidence: 99%

“…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%

“…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%

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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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“…[13][14][15][16], insights from which have subsequently been exploited; e.g., Refs. [17][18][19][20][21][22][23][24][25][26][27][28].…”

mentioning

confidence: 99%

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

et al. 2012

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We present a workable model for the fermion-photon vertex, which is expressed solely in terms of functions that appear in the fermion propagator and independent of the angle between the relative momenta, and does not explicitly depend on the covariant-gauge parameter. It nevertheless produces a critical coupling for dynamical chiral symmetry breaking that is practically independent of the covariant-gauge parameter and an anomalous magnetic moment distribution for the dressed fermion that agrees in important respects with realistic numerical solutions of the inhomogeneous vector Bethe-Salpeter equation.

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Sketching the Bethe-Salpeter Kernel

Cited by 284 publications

References 32 publications

Confinement contains condensates

Confinement contains condensates

Baryons as relativistic three-quark bound states

Dynamical chiral symmetry breaking and the fermion–gauge-boson vertex

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