Stephen Summers

Constructive Algebraic Quantum Field Theory


The tools and techniques of AQFT have been developed to the point where it has become possible to make new progress on one of the most difficult problems in quantum field theory - the mathematically rigorous construction of quantum field models. After a brief overview of these recent advances, we shall explain in more detail the deformation techniques of Grosse, Lechner, Buchholz and the speaker, which have produced quantum field models manifesting nontrivial scattering.