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Stephen Summers
Constructive Algebraic Quantum Field Theory
Abstract:
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.