The ultraviolet-finite Hamiltonian approach on the noncommutative Minkowski space
arXiv:hep-th/0401219 · doi:10.1002/prop.200310130
Abstract
This is an exposition of joint work with S. Doplicher, K. Fredenhagen, and G. Piacitelli on field theory on the noncommutative Minkowski space. The limit of coinciding points is modified compared to ordinary field theory in a suitable way which allows for the definition of so-called regularized field monomials as interaction terms. Employing these in the Hamiltonian formalism results in an ultraviolet finite S-matrix.
Written version of a talk presented at the 36th International Symposium Ahrenshoop on the Theory of Elementary Particles, 26-30 August 2003, Wernsdorf, Germany. To appear in a special issue of "Fortschritte der Physik"