Matrix Theory for Baryons: An Overview of Holographic QCD for Nuclear Physics

TL;DR

This paper reviews holographic QCD and introduces a matrix model for multi-baryon systems, revealing a universal repulsive core in inter-baryon forces consistent with lattice QCD results.

Contribution

It presents a novel matrix description of multi-baryon interactions in holographic QCD, highlighting the universality of the repulsive core across different flavors.

Findings

Universal repulsive core in inter-baryon forces

Agreement with lattice QCD for N_f=2,3

Comparison with OPE analysis confirms results

Abstract

We provide, for non-experts, a brief overview of holographic QCD and a review of a recent proposal of matrix-description of multi-baryon systems in holographic QCD. Based on the matrix model, we derive the baryon interaction at short distances in multi-flavor holographic QCD. We show that there is a very universal repulsive core of inter-baryon forces for generic number of flavors. This is consistent with a recent lattice QCD analysis for N_f = 2, 3 where repulsive core looks universal. We also provide a comparison of our results with the lattice QCD and the operator product expansion (OPE) analysis.