Ground-state Properties of Many-body Systems from a Renormalization-Group Approach to Density Functional Theory

强相互作用的理论，量子色动力学（QCD），描述了强子质量的产生及其在高能和低能下的动力学。近年来，已经有可能系统地将核结构物理学与基础理论QCD所确定的微观核子-核子相互作用联系起来。这不仅是核结构物理学的一项重要成就，而且极大地提高了我们对束缚多体系统动力学产生的一般认识，重整化群（RG）技术在这些理论进展的发展中发挥了突出的作用。此外，在过去的几年中，已经奠定了RG方法的密度泛函理论的场论基础。这样的RG方法是有前途的，因为它有望有利地扩展到重核，同时，它允许以非常自然的方式包括微观相互作用。该项目旨在首次将这种新的RG方法应用于类核系统，重点是基态能量，密度分布以及密度相关函数的计算。

The theory of the strong interaction, Quantum Chromodynamics (QCD), describes the generation of the masses of the hadrons and their dynamics at both high and low energies. In recent years, it has become possible to systematically connect nuclear structure physics to the microscopic nucleon-nucleon interactions determined by the underlying fundamental theory, namely QCD. This was not only an important achievement for nuclear structure physics but also improved tremendously our general understanding of the dynamical generation of bound many-body systems.Renormalization group (RG) techniques played a prominent role in the development of these theoretical advances. Also, the field-theoretical grounds for an RG approach to Density Functional Theory has been laid in the past few years. Such an RG approach is promising since it is expected to scale favorably to heavy nuclei and, at the same time, it allows to include microscopic interactions in a very natural way. This project aims at a first application of this novel RG method to nuclei-like systems, with an emphasis on the computation of ground-state energies, density profiles as well as density correlation functions.