The Abelian Kroll-Lee-Zumino theory is a renormalizable quantum field theory of charged pions and neutral rho-mesons. It provides the quantum field theory platform for the vector meson dominance model, allowing for a systematic computation of quantum corrections in perturbation theory (the ρ-π-π coupling is small enough for perturbation theory to make sense). At one-loop level, the theory makes a prediction for the electromagnetic form factor of the pion in good agreement with experiment, but there is room for improvement. This makes the theory an attractive prospect for filling the gap between chiral perturbation theory (which is valid for low-energy interactions) and perturbative QCD (which is valid at high energies). In this thesis we perform a two-loop calculation of the rho-propagator. This quantity is closely related to the pion’s electromagnetic form factor, and will allow its calculation at this order.

Reference:

Lushozi, M. 2014. Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory. University of Cape Town.

Lushozi, M. (2014). Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory. (Thesis). University of Cape Town ,Faculty of Science ,Department of Physics. Retrieved from http://hdl.handle.net/11427/9217

Lushozi, Mawande. "Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory." Thesis., University of Cape Town ,Faculty of Science ,Department of Physics, 2014. http://hdl.handle.net/11427/9217

Lushozi M. Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Physics, 2014 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/9217