Heidelberg 2015 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 7: Structure and Dynamics of Nuclei 2

HK 7.2: Talk

Monday, March 23, 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.