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Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -

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arxiv 1304.1161 v2 pith:L7TNC6JO submitted 2013-04-03 nucl-th cond-mat.other

Sandra Kemler , Jens Braun This is my paper · ORCID
classification nucl-thcond-mat.other
keywords approachpropertiesdensitydiscussequationflowformalismfunctional
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We discuss 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. In particular, the general structure and properties of this RG flow equation are analyzed in detail. Moreover, we discuss how our 2PPI RG approach relates to Density Functional Theory and argue that it can in principle be used to study ground-state properties of non-relativistic many-body systems from microscopic interactions, such as (heavy) nuclei. For illustration purposes, we use our formalism to compute the ground-state properties of two toy models.

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  1. Functional Renormalization Group meets Computational Fluid Dynamics: RG flows in a multi-dimensional field space

    cond-mat.stat-mech 2024-12 conditional novelty 6.0 of 10

    A two-dimensional Kurganov-Tadmor finite-volume scheme accurately solves FRG flow equations for effective potentials in multi-dimensional field space, benchmarked against exact zero-dimensional path integrals and appl...

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