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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Quantenfeldtheorie I

MP 5.3: Talk

Wednesday, March 2, 2016, 18:00–18:20, VMP6 HS B

Wedge-local fields in interacting quantum field theories with bound states — •Daniela Cadamuro¹ and Yoh Tanimoto² — ¹Mathematisches Institut, Georg-August Universität Göttingen, Göttingen, Deutschland — ²Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

In the context of constructive QFT in the operator-algebraic approach, wedge-local fields play an important role. After the work of Lechner to construct factorizing scattering matrix models with scalar S-matrices without bound states, we recently extended this construction to scalar S-matrices with poles in the physical strip (``bound states'') by exhibiting wedge-local fields which arise as a deformation of Lechner's fields with the so called ``bound state operator''. Similar techniques allow us to extend this construction to the Z(N)-Ising and the sine-Gordon models, namely models with a richer particle spectrum and which are believed to have bound states. In this talk I will present the construction of such interacting quantum fields and an overview on the open problems to complete the construction.