Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons

TL;DR

This paper explores the role of an infinite tower of vector mesons in holographic models of baryons, highlighting the significance of the omega meson in baryon structure and nuclear interactions.

Contribution

It compares different holographic models incorporating vector mesons, emphasizing the importance of the omega meson and hidden local symmetry in baryon physics.

Findings

Infinite vector meson tower induces flow to conformal theory.

Omega meson plays a crucial role in baryon structure.

Hidden local symmetry preserves key features in models.

Abstract

In an effort to access dense baryonic matter relevant for compact stars in a unified framework that handles both single baryon and multibaryon systems on the same footing, we first address a holographic dual action for a single baryon focusing on the role of the infinite tower of vector mesons deconstructed from five dimensions. To leading order in 't Hooft coupling $\lambda=N_c g_{\rm YM}^2$, one has the Bogomol'nyi-Prasad-Sommerfield (BPS) Skyrmion that results when the warping of the bulk background and the Chern-Simons term in the Sakai-Sugimoto D4/D8-${\bar{\rm D8}}$ model are ignored. The infinite tower was found by Sutcliffe to induce flow to a conformal theory, i.e., the BPS. We compare this structure to that of the SS model consisting of a 5D Yang-Mills action in warped space and the Chern-Simons term in which higher vector mesons are integrated out while preserving hidden local symmetry and valid to $O(\lambda^0)$ and $O(p^4)$ in the chiral counting. We point out the surprisingly important role of the $\omega$ meson that figures in the Chern-Simons term that encodes chiral anomaly in the baryon structure and that may be closely tied to short-range repulsion in nuclear interactions.