Functional renormalization-group calculation of the equation of state of one-dimensional nuclear matter inspired by the Hohenberg--Kohn theorem

TL;DR

This paper demonstrates a novel application of the functional renormalization group (FRG) within density functional theory to accurately compute the equation of state of one-dimensional nuclear matter, showing promising results comparable to Monte Carlo methods.

Contribution

It introduces a new FRG-aided DFT approach for infinite nuclear matter, successfully calculating the EOS in (1+1) dimensions with high accuracy.

Findings

Saturation energy matches Monte Carlo results within a few percent.

FRG-aided DFT is shown to be as powerful as other quantum many-body methods.

First successful application of FRG in this context.

Abstract

We present the first successful functional renormalization group(FRG)-aided density-functional (DFT) calculation of the equation of state (EOS) of an infinite nuclear matter (NM) in (1+1)-dimensions composed of spinless nucleons. We give a formulation to describe infinite matters in which the 'flowing' chemical potential is introduced to control the particle number during the flow. The resultant saturation energy of the NM coincides with that obtained by the Monte-Carlo method within a few percent. Our result demonstrates that the FRG-aided DFT can be as powerful as any other methods in quantum many-body theory.