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Home / Post Doctorat / A Functional Renormalization Group Approach to Nucleon-Nucleon Interactions and the Critical End Point
A Functional Renormalization Group Approach to Nucleon-Nucleon Interactions and the Critical End Point
Nuclear physicsTheoretical physics
Abstract
This research project seeks to bridge the gap between fundamental Quantum Chromodynamics (QCD) and nuclear structure by establishing a unified framework based on the Functional Renormalization Group (FRG). By moving beyond the limitations of Chiral Effective Field Theory (?EFT) and phenomenological Energy Density Functionals (EDF), the project aims to derive nucleon-nucleon (NN) interactions directly from the underlying SU(3)c? dynamics. A pivotal feature is the implementation of a dynamic baryonization scheme, where baryonic fields emerge naturally from quark degrees of freedom as the RG scale flows from the ultraviolet to the infrared. This approach allows for an in-medium treatment of NN kernels, where coupling constants evolve as scale-dependent functions of temperature and density. The ultimate goal is to provide a consistent description of the QCD phase diagram, specifically linking the nuclear liquid-gas instability to the chiral critical end point (CEP). By tracking how baryon fluctuations drive these transitions, the work provides a first-principles theoretical counterpart to heavy-ion collision experiments, replacing empirical models with QCD-anchored functionals.
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