Description
The quark-gluon vertex is an indispensable component of quantum chromodynamics. It is one of the four fundamental interaction vertices of the theory, encoding the interactions between quarks and gluons. Despite the significance of the quark-gluon vertex, the full, non-perturbative structure is incomplete.
The tensor structure of the quark-gluon vertex can be decomposed into a linear combination of twelve independent tensors and their dressing functions (or form factors). In this work, we attempt to calculate these dressing functions by utilising the Schwinger-Dyson equation (SDE) for the quark-gluon vertex itself - an approach that is typically not employed due to the complexities of the vertex SDE. Additionally, we utilise appropriate symmetries such as local gauge symmetry and the appropriate Slavnov-Taylor identities, charge conjugation symmetry, and more. We present preliminary results in the soft gluon limit.
| I am the presenting author | Yes |
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