Karlsruhe 2011 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 16: Quantum Field Theory in 2 Dimensions

MP 16.3: Vortrag

Donnerstag, 31. März 2011, 09:10–09:30, 30.45: 201

Symmetries and discretizations of the O(3) nonlinear sigma model — •Raphael Flore — TPI, Universität Jena, Deutschland

Nonlinear sigma models possess many interesting properties like asymptotic freedom, confinement or dynamical mass generation, and hence serve as toy models for QCD and other theories. We derive a formulation of the N=2 supersymmetric extension of the O(3) nonlinear sigma model in terms of constrained field variables. Starting from this formulation, it is discussed how the model can be discretized in a way that maintains as many symmetries of the theory as possible. Finally, recent numerical results related to these discretizations are presented.