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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Quantenfeldtheorie II

MP 11.3: Vortrag

Mittwoch, 18. März 2015, 16:25–16:45, HFT-FT 101

A rigorous approach to O(N)-invariant nonlinear sigma-models — •Sabina Alazzawi¹ and Gandalf Lechner² — ¹Technische Universität München, Deutschland — ²Universität Leipzig, Deutschland

Particular attention has been paid to nonlinear sigma-models in 1+1 dimensions since they serve as a useful laboratory for the study of more realistic theories. Building on recently developed construction methods in the operator-algebraic framework of quantum field theory, a rigorous formulation of O(N)-invariant nonlinear sigma-models is presented in this talk. Our approach is based on the factorizing S-matrix of the model and aims at verifying the modular nuclearity condition. By means of the latter the Reeh-Schlieder property and hence the existence of local field operators can be proven under certain conditions. Infinitely many other integrable models can be constructed in the same manner by considering a certain family of initial factorizing S-matrices.