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).
Topology and Non-Perturbative Gauge Dynamics
The connections between topology in space(time) and in field configuration space and the non-perturbative dynamics of general gauge theories, inclusive of mass generating mechanims, are being studied.