Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons

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 $\lambda =N_c{g}_{\mathrm{YM}}^2$, 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-$\overline{D8}$ 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.

9 pages, REVTeX, to be published in Phys. Rev. D

References in corpus (8)

• QCD and dimensional deconstruction
• Chiral Dynamics of Baryons from String Theory
• Dynamics of Baryons from String Theory and Vector Dominance
• Skyrmions, instantons and holography
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• Skyrmions with vector mesons in the hidden local symmetry approach
• Holographic QCD Integrated back to Hidden Local Symmetry

Cited by in corpus (20)

• Pentaquark and Tetraquark states
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Dense Baryonic Matter in Hidden Local Symmetry Approach: Half-Skyrmions and Nucleon Mass
• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Nuclear binding energies from a BPS Skyrme model
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Skyrmions with vector mesons in the hidden local symmetry approach
• Topological energy bounds in generalized Skyrme models
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Realistic classical binding energies in the $\omega$-Skyrme model
• BPS submodels of the Skyrme model
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Radial vibrations of BPS skyrmions
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Skyrmions, half-skyrmions and nucleon mass in dense baryonic matter
• Chiral partner structure of heavy baryons from the bound state approach with hidden local symmetry
• Chiral effective theories from holographic QCD with scalars
• Baryon as dyonic instanton-II. Baryon mass versus chiral condensate
• Effects of scalar mesons in a Skyrme model with hidden local symmetry
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model