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

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 AdS/CFT 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 $a_1$ polarization states. At sufficiently large baryon number densities, it produces an instability, which causes the $\rho$ and $a_1$ mesons to condense in a state breaking both rotational and translational invariance.

4 pages

References in corpus (2)

• QCD and dimensional deconstruction
• Chiral Dynamics of Baryons from String Theory

Cited by in corpus (8)

• Cold Nuclear Matter In Holographic QCD
• Baryon-charge Chemical Potential in AdS/CFT
• Standard Model Gauging of the WZW Term: Anomalies, Global Currents and pseudo-Chern-Simons Interactions
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Deconfinement phase transition in holographic QCD with matter
• Holographic Nuclear Matter in AdS/QCD
• Dimension Six Corrections to the Vector Sector of AdS/QCD Model
• Some new implications of the anomalous baryon current in the Standard Model