The Four Gluon Vertex from Lattice Quantum Chromodynamics

Abstract

The interaction vertices of the gluon sector of Quantum Chromodynamics are of fundamental importance in hadronic physics. To evaluate these vertices in the low-energy scale, non-perturbative methods are required. Due to the convoluted tensor structure of this four gluon vertex, non-perturbative methods face the challenge of extracting reliable non-perturbative data on this vertex. As such, it is poorly understood in the low-energy scale of Quantum Chromodynamics.Lattice Quantum Chromodynamics provide access to this non-perturbative regime.In this dissertation, the four gluon vertex is constructed from first, and a specific set of kinematic configurations is chosen such that it allows for a piratical evaluation of this vertex with the formalism Quenched Lattice Quantum Chromodynamics, i.e. quark dynamics are not considered.The interaction vertices of the gluon sector of Quantum Chromodynamics are of fundamental importance in hadronic physics. To evaluate these vertices in the low-energy scale, non-perturbative methods are required. Due to the convoluted tensor structure of this four gluon vertex, non-perturbative methods face the challenge of extracting reliable non-perturbative data on this vertex. As such, it is poorly understood in the low-energy scale of Quantum Chromodynamics.Lattice Quantum Chromodynamics provide access to this non-perturbative regime.In this dissertation, the four gluon vertex is constructed from first, and a specific set of kinematic configurations is chosen such that it allows for a piratical evaluation of this vertex with the formalism Quenched Lattice Quantum Chromodynamics, i.e. quark dynamics are not considered.

The interaction vertices of the gluon sector of Quantum Chromodynamics are of fundamental importance in hadronic physics. To evaluate these vertices in the low-energy scale, non-perturbative methods are required. Due to the convoluted tensor structure of this four gluon vertex, non-perturbative methods face the challenge of extracting reliable non-perturbative data on this vertex. As such, it is poorly understood in the low-energy scale of Quantum Chromodynamics.Lattice Quantum Chromodynamics provide access to this non-perturbative regime.In this dissertation, the four gluon vertex is constructed from first, and a specific set of kinematic configurations is chosen such that it allows for a piratical evaluation of this vertex with the formalism Quenched Lattice Quantum Chromodynamics, i.e. quark dynamics are not considered.The interaction vertices of the gluon sector of Quantum Chromodynamics are of fundamental importance in hadronic physics. To evaluate these vertices in the low-energy scale, non-perturbative methods are required. Due to the convoluted tensor structure of this four gluon vertex, non-perturbative methods face the challenge of extracting reliable non-perturbative data on this vertex. As such, it is poorly understood in the low-energy scale of Quantum Chromodynamics.Lattice Quantum Chromodynamics provide access to this non-perturbative regime.In this dissertation, the four gluon vertex is constructed from first, and a specific set of kinematic configurations is chosen such that it allows for a piratical evaluation of this vertex with the formalism Quenched Lattice Quantum Chromodynamics, i.e. quark dynamics are not considered.