Baryon-Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD

2007/04/12 by Sophia K. Domokos, Jeffrey A. Harvey · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.99.141602

published as Phys.Rev.Lett.99:141602,2007 · 4 pages

arxiv created 2007/04/12 · openalex publication_date 2007/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that holographic models of QCD predict the presence of a Chern-Simons coupling between vector and axial-vector mesons at finite baryon density. In the Anti de Sitter/Conformal Field Theory dictionary, the coefficient of this coupling is proportional to the baryon number density and is fixed uniquely in the five-dimensional holographic dual by anomalies in the flavor currents. For the lightest mesons, the coupling mixes transverse rho and a1 polarization states. At sufficiently large baryon number densities, it produces an instability, which causes the rho and a1 mesons to condense in a state breaking both rotational and translational invariance.

Citations

• Global aspects of current algebra
• Effective Lagrangians and Field Algebras with Chiral Symmetry
• Low energy hadron physics in holographic QCD
• Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions
• Chiral dynamics of baryons from string theory
• QCD and a Holographic Model of Hadrons
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Anomalous form factor of the neutral pion in an extended AdS/QCD model with Chern-Simons term