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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantenfeldtheorie

MP 3.2: Talk

Tuesday, February 26, 2013, 16:55–17:20, HS 8

Supersymmetric O(N) models in d=3 with functional renormalization group (FRG) methods — •Tobias Hellwig¹, Marianne Heilmann¹, Andreas Wipf¹, and Daniel F. Lithim² — ¹Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universit Jena, Max-Wien-Platz 1, D-07743 Jena, Germany — ²Department of Physics and Astronomy, University of Sussex, BN1 9QH, Brighton, UK

While a lot of results concerning scalar O(N) models are known, much less is known for supersymmetric O(N) models. The 1/N expansions were examined in some earlier works with the help of the Hartree-Fock approximation.

In this talk results for all N are presented. These results were obtained by using FRG methods and a manifest supersymmetric regulator.

For finite N fixed point solutions and critical exponents are obtained. We will comment on effects of different truncations in the effective average action. Starting point is the LPA approximation. In a second step a wave function renormalization is included and deviations from LPA solution are discussed. This will be done for a field dependent and field independent form of the wave function renormalization. This knowledge could also prove to be helpful for further FRG studies of supersymmetric theories.