Analytic properties of the vertex function in gauge theories. II

Ball, James S.; Chiu, Ting‐Wai

doi:10.1103/physrevd.22.2550

Cited by 256 publications

(352 citation statements)

References 2 publications

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“…The vector WTI states that the longitudinal part of the vector vertex is completely determined by the quark propagator. Its solution is the Ball-Chiu vertex [434,435], together with a further transverse part which is not constrained by gauge invariance:…”

Section: Timelike Meson Poles the Four-point Green Functionmentioning

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

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: Timelike Meson Poles the Four-point Green Functionmentioning

confidence: 99%

“…The vertex Γ µ (k, Q) depends on the relative momentum k and total momentum Q and the fermion momenta are k ± = k ± Q/2. Its Ball-Chiu part [434] Γ µ BC (k, Q) = iγ µ Σ A + 2k µ (i/ k ∆ A + ∆ B ) (B.1)…”

Section: B Quark-photon Vertex and Hadronic Vacuum Polarizationmentioning

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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“…Because of the color factors, Furry's theorem does not apply, and the two diagrams add to produce a factor of two. For the off-shell three-gluon vertex, we adopt the well-known decomposition proposed by Ball and Chiu [6] …”

Section: Decomposition Of the Three-gluon Vertexmentioning

confidence: 99%

“…For the general off-shell case, the decomposition of Ball and Chiu [6] was used. The general off-shell case, as well as all on-shell limits of interest have been considered.…”

mentioning

confidence: 99%

Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension

Davydychev

Osland

Saks

2001

J. High Energy Phys.

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“…With any of these Ansätze the resulting fermion propagator is not gauge-covariant, i.e., physical quantities such as the critical coupling for dynamical symmetry breaking, or the mass itself, are gauge-dependent [17]. A general form for Γ ν (k, p) which does satisfy the Ward Identity was given by Ball and Chiu in 1980 [19]; it consists of a minimal longitudinally constrained term which satisfies the WTI, and a set of tensors spanning the subspace transverse to the photon momentum q.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry breaking in quenched massive strong-coupling four-dimensional QED

Hawes

Williams

1995

Phys. Rev. D

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We present results from a study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in massive strongcoupling quenched QED 4 . Results are compared for three different fermionphoton proper vertex Ansätze: bare γ µ , minimal Ball-Chiu, and CurtisPennington. The procedure is straightforward to implement and numerically stable. This is the first study in which this technique is used and it should prove useful in future DSE studies, whenever renormalization is required in numerical work.

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Analytic properties of the vertex function in gauge theories. II

Cited by 256 publications

References 2 publications

Baryons as relativistic three-quark bound states

Baryons as relativistic three-quark bound states

Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension

Chiral symmetry breaking in quenched massive strong-coupling four-dimensional QED

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