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

Journal Article · Fri Oct 05 04:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.141602· OSTI ID:21024228

Domokos, Sophia K; Harvey, Jeffrey A ^[1]

---

1. Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)

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 a{sub 1} polarization states. At sufficiently large baryon number densities, it produces an instability, which causes the {rho} and a{sub 1} mesons to condense in a state breaking both rotational and translational invariance.

• OSTI ID: 21024228
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 99; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
AXIAL VECTOR MESONS
BARYON NUMBER
BARYONS
CONFORMAL INVARIANCE
FLAVOR MODEL
HOLOGRAPHY
QUANTUM CHROMODYNAMICS