Non-perturbative dynamics of QED in low dimensions
By emphasizing the relevance of topology in nonperturbative gauge dynamics in the presence of nontrivial space(time) topology, develop gauge invariant physical tools to approach the nonperturbative dynamics of such systems in approximation schemes. In an initial study, QED in lower dimensions is considered in detail.
Nonperturbative quantisation of gauge theories, noncommutative geometry and unification of the fundamental interactions
Development of nonperturbative quantisation techniques of gauge theories (Yang-Mills, topological, gravity) and their application to particle physics and quantum field theory at finite temperature (in particular, within the context of superconductivity).
Exploration of the consequences of noncommutative geometry in the search for the unification of the fundamental interactions (M-theory and superstrings, quantum gravity).
External collaborators: Frederik Scholtz (National Institute for Theoretical Physics, NITheP, South Africa);
Hendrik Geyer (Stellenbosch Institute for Advanced Study, STIAS; University of Stellenbosch, South Africa);
M. Norbert Hounkonnou (International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, Benin);
Calvin Matondo Bwayi (University of Kinshasa, Kinshasa, Democratic Republic of Congo);
Habatwa Mweene (University of Zambia, Lusaka, Zambia);
John R. Klauder (University of Florida, Gainesville, USA);
Peter Jarvis (University of Tasmania, Hobart, Australia).