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HK: Fachverband Physik der Hadronen und Kerne
HK 7: Structure and Dynamics of Nuclei 2
HK 7.2: Vortrag
Montag, 23. März 2015, 15:00–15:15, T/SR14
Renormalization Group Approach to Density Functional Theory⋆ — •Sandra Kemler and Jens Braun — Institut für Kernphysik, TU Darmstadt
We study a two-point particle irreducible (2PPI) approach to many-body physics which relies on a renormalization group (RG) flow equation for the associated effective action. This approach relates to Density Functional Theory and can in principle be used to study ground-state properties of non-relativistic many-body systems from microscopic interactions, such as (heavy) nuclei. We apply our formalism to a 0+1-dimensional model, namely the quantum anharmonic oscillator and use the well-known exact solution to benchmark our approximations of the full RG flow. Moreover, we present flow equations for specific types of 1+1-dimensional field theories which allow us study the ground-state properties of self-bound systems of spinless fermions which can also be viewed as toy models of nuclei.
⋆ Supported by the Deutsche Forschungsgemeinschaft (DFG) through contract SFB 634.