Freiburg 2008 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 6: Quantenfeldtheorie
MP 6.1: Talk
Wednesday, March 5, 2008, 17:00–17:20, KGI-HS 1023
Wedge-Local Quantum Field Theory — •Gandalf Lechner1, Detlev Buchholz2, and Harald Grosse3 — 1Erwin-Schrödinger-Institut für Mathematische Physik, Wien, Österreich — 2Universität Göttingen — 3Universität Wien
In the construction of relativistic quantum field theories, field operators which are not point-localized, but rather localized in wedge-shaped regions of dimensional Minkowski space, are a novel tool.
In two dimensions, such fields have led to the solution of the inverse scattering problem for factorizing S-matrices, i.e. the construction of integrable models with prescribed scattering operators. Recently, covariant families of wedge-local fields have also been established in higher dimensions. Although the connection between such objects and the S-matrix is less direct in higher dimensions, wedge-local quantum fields still provide a useful tool for the characterization of local observables and local interactions.
In this talk, a survey of the underlying ideas, results and perspectives of this approach is given.