The anomalous magnetic moment of the nucleon in cavity QCD

• Main Author: O'Connor, M S
• Format: Doctoral Thesis
• Language: English
• Published: University of Cape Town 2016
• Subjects: Physics; Particle Physics; Theoretical Physics
• Online Access: http://hdl.handle.net/11427/17389

Bibliography: pages 71-72. === Perturbative quantum chromodynamics is developed in a spherical cavity using a symmetric form of the Gell-Mann and Low theorem. This formalism allows one to generate any desired term in the perturbation series, in a manner which is similar to the familiar Feynman rules in free space. All corrections to order eg² in the electromagnetic and strong coupling constants which contribute to the magnetic moment of a baryon are generated using this formalism. The O(eg²) radiative corrections to the magnetic moment of the nucleon are calculated here in an arbitrary covariant gauge. The gauge-dependent parts are found to vanish identically, and the divergences arising from the loop diagrams cancel amongst each other, making renormalization unnecessary. However, it is shown here that one can, if it is necessary, remove the divergences from the cavity diagrams by subtracting from them a singular factor which is found using dimensional regularization in the analogous free-space diagrams.