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

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

2007-04-12

arxiv.org/abs/0704.1604v1

Phys.Rev.Lett.99:141602,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1103/PhysRevLett.99.141602

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.

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