## Keywords (3)

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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,10.1103/PhysRevLett.99.141602,Physical Review Letter

Baryon-Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
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.
Journal: Physical Review Letters - PHYS REV LETT , vol. 99, no. 14, 2007
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## Citation Context (8)

• ...In the context of holographic models, such behaviour was in fact rst found in the work of Harvey and Domokos [3], who exhibited an instability in a particular bottom-up model with a Chern-Simons coupling and an axial chemical potential...
• ...As mentioned in the introduction, the work of Domokos and Harvey [3] and Nakamura,...

### C. A. Ballon Bayona, et al. A non-homogeneous ground state of the low-temperature Sakai-Sugimoto m...

• ...The role of Chern-Simons term in causing instability was already noticed some time ago by several authors, initiated by Domokos-Harvey [40]...

### Keun-Young Kim, et al. Holographic chiral magnetic spiral

• ...wrapping D4 (top-down) and sourcing the baryon current through the Chern-Simons term [5, 8, 13, 14]...
• ...Now we introduce the baryon source coupled to A0 through the Chern-Simons term [8, 5, 13] as mentioned before...

### Keun-Young Kim, et al. The chiral model of Sakai-Sugimoto at finite baryon density

• ...In this case there are no instabilities for small values of � (for which the spectrum is unmodified), but the Chern-Simons term may well lead to instabilities at larger values of � (of order λ5/L2), similar to those discussed in [39]...

### Ofer Aharony, et al. Rho meson condensation at finite isospin chemical potential in a holog...

• ...We point out the relation between our approach and the recent approaches by baryon chemical potential[26, 27, 28, 29]...
• ...We also comment that the interaction terms of V0 and meson fields, say H, feature the commutator structure, Lint ∼ [V0, H], and therefore the chemical potential µq will be inoperative to neutral mesons, with an exception of Chern-Simons couplings studied in [29]...
• ...The baryon chemical potential, introduced as a background for the time component of the bulk U(1)B gauge field [26, 27, 28, 29], is of limited use for some observables due to a specific commutator structure of the interaction terms...

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## Citations (27)

### A non-homogeneous ground state of the low-temperature Sakai-Sugimoto model

Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2011, no. 6, pp. 1-22, 2011

### Completing the framework of AdS/QCD: h_1/b_1 mesons and excited omega/rho's

Published in 2011.

### Gravity Dual of Spatially Modulated Phase(Citations: 19)

Journal: Physical Review D - PHYS REV D , vol. 186, no. 4, pp. 528-533, 2010

### Dynamical Instability of Holographic QCD at Finite Density(Citations: 4)

Published in 2010.