Brane-induced Skyrmions: Baryons in Holographic QCD

TL;DR

This paper investigates baryons in holographic QCD by deriving and solving the equations for brane-induced Skyrmions, which are topological solitons representing baryons in a meson effective theory.

Contribution

It introduces a detailed derivation of the soliton solutions for baryons in holographic QCD, including the profiles of chiral and rho mesons, advancing the understanding of baryonic states in this framework.

Findings

Derived Euler-Lagrange equations for the Skyrmion configuration.

Obtained explicit soliton solutions for the meson profiles.

Enhanced the theoretical modeling of baryons in holographic QCD.

Abstract

We study baryons in holographic QCD with $D4/D8/\bar{D8}$ multi $D$ brane system. In holographic QCD, the baryon appears as a topologically non-trivial chiral soliton in a four-dimensional effective theory of mesons, which is called `Brane-induced Skyrmion'. We derive and calculate the Euler-Lagrange equation for the hedgehog configuration with chiral profile $F(r)$ and $\rho$-meson profile $\tilde G(r)$, and obtain the soliton solution of the holographic QCD.