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Exploring the Quark-Gluon Vertex with Slavnov-Taylor Identities and Lattice Simulations

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

The soft gluon limit of the longitudinal part of the quark-gluon vertex is studied by resorting to non-perturbative approaches to Quantum Chromodynamics (QCD). Based on a Slavnov-Taylor identity (STI), the longitudinal form factors is expressed in terms of the quark-ghost kernel, the quark self energy and the quark wave function. An exact relation between the non-vanishing longitudinal form factors is derived for the soft gluon limit and explored to understand the behaviour of the vertex. Within a Ball-Chiu vertex, the form factor $\lambda_1$ was analysed using recent lattice simulations for full QCD for the soft gluon limit. The lattice data shows that the gluon propagator resumes the momentum dependence of such component of the vertex. This connection is understood via a fully dressed one-loop Bethe-Salpeter equation. The behaviour of the remaining longitudinal form factors $\lambda_2(p^2)$ and $\lambda_3(p^2)$ is investigated combining both the information of lattice simulations and the derived relations based on the STI.

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Light-front mass operator with dressed quarks

hep-ph · 2026-04-24 · unverdicted · novelty 5.0

An effective dressed light-front mass operator for quarks is constructed from a lattice-inspired propagator and applied to compute pion TMDs, PDFs, and distribution amplitudes.

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  • Light-front mass operator with dressed quarks hep-ph · 2026-04-24 · unverdicted · none · ref 3

    An effective dressed light-front mass operator for quarks is constructed from a lattice-inspired propagator and applied to compute pion TMDs, PDFs, and distribution amplitudes.