Intrinsic glue and Wilson lines within dressed quarks

R., Costa, Caroline S.; Freese, Adam; Cloët, Ian C.; El-Bennich, Bruno; Krein, G.; Tandy, P. C.

doi:10.1103/physrevc.104.045201

Cited by 4 publications

(2 citation statements)

References 41 publications

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“…The expression in QCD is analogous, yet involves in addition color matrices and ghost fields. Therefore, expanding the Wilson line to leading order in the strong coupling g [138], the matrix element can be expressed approximately by diagrams that describe the gluon dressing of quarks, the two-quark scattering and the interaction of a quark with a ghost via gluon exchange. However, in such an approach the propagators ought to be dressed as in the dressed approximation to H a (k, p) discussed in section 2.4.…”

Section: Conclusive Remarks and Future Developmentsmentioning

confidence: 99%

The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

Albino

Bashir

El-Bennich

et al. 2021

J. High Energ. Phys.

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We extend earlier studies of transverse Ward-Fradkin-Green-Takahashi identities in QED, their usefulness to constrain the transverse fermion-boson vertex and their importance for multiplicative renormalizability, to the equivalent gauge identities in QCD. To this end, we consider transverse Slavnov-Taylor identities that constrain the transverse quark-gluon vertex and derive its eight associated scalar form factors. The complete vertex can be expressed in terms of the quark’s mass and wave-renormalization functions, the ghost-dressing function, the quark-ghost scattering amplitude and a set of eight form factors. The latter parametrize the hitherto unknown nonlocal tensor structure in the transverse Slavnov-Taylor identity which arises from the Fourier transform of a four-point function involving a Wilson line in coordinate space. We determine the functional form of these eight form factors with the constraints provided by the Bashir-Bermudez vertex and study the effects of this novel vertex on the quark in the Dyson-Schwinger equation using lattice QCD input for the gluon and ghost propagators. We observe significant dynamical chiral symmetry breaking and a mass gap that leads to a constituent mass of the order of 500 MeV for the light quarks. The flavor dependence of the mass and wave-renormalization functions as well as their analytic behavior on the complex momentum plane is studied and as an application we calculate the quark condensate and the pion’s weak decay constant in the chiral limit. Both are in very good agreement with their reference values.

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Section: Conclusive Remarks and Future Developmentsmentioning

confidence: 99%

The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

Albino

Bashir

El-Bennich

et al. 2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the case of the impulse approximation, attempts to describe the Wilson line perturbatively have been pursued (see [157]). However, because of the limitations of the impulse approximation already mentioned before, it is unclear that such a procedure could be generalised beyond the NJL model employed there.…”

Section: The Wilson Linementioning

confidence: 99%

Generalised Parton Distributions in Continuum Schwinger Methods: Progresses, Opportunities and Challenges

Mezrag

2023

Particles

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This paper review the modelling efforts regarding Generalised Parton Distributions (GPDs) using continuum techniques relying on Dyson–Schwinger and Bethe–Salpeter equations. The definition and main properties of the GPDs are first recalled. Then, we detail the strategies developed in the last decade in the meson sector, highlighting that observables connected to the pion GPDs may be measured at future colliders. We also highlight the challenges one will face when targeting baryons in the future.

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Parton decomposition of nucleon spin and momentum: Gluons from dressed quarks

Tandy

2023

Physics Letters B

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Intrinsic glue and Wilson lines within dressed quarks

Cited by 4 publications

References 41 publications

The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking

Generalised Parton Distributions in Continuum Schwinger Methods: Progresses, Opportunities and Challenges

Parton decomposition of nucleon spin and momentum: Gluons from dressed quarks

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