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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantenfeldtheorie

MP 7.2: Talk

Tuesday, February 28, 2012, 17:40–18:05, ZHG 003

Characterization of local operators in factorizing scattering models — •Daniela Cadamuro¹ and Henning Bostelmann² — ¹Institute for Theoretical Physics, Göttingen, Germany — ²Department of Mathematics, York, UK

Lechner has given in 2006 an abstract existence proof for interacting quantum field theories, using a novel approach for a large class of models in two dimensions. We supplement this result by an explicit characterization of the local observables in these theories. We have established how local observables can be described in terms of an infinite hierarchy of holomorphic functions, and analysed the recursive system of relations among these functions. We have formulated a theorem that gives the complete characterization, and outline the general strategy for its proof, preparing all its ingredients.