Quantum Hall liquids in high-density QCD

Abstract

There exist metastable domain walls of the flavor-singlet meson $\eta$ for the $\mathrm{U}(1)$ axial symmetry in two-flavor color superconductivity (2SC) in QCD at large baryon density. We show that, due to the coupling of $\eta$ to confined $\mathrm{SU}(2)$ gluons in the 2SC phase, the effective theory on the domain wall is described by the $\mathrm{SU}(2{)}_{-1}$ Chern-Simons theory, which is dual to the $\mathrm{U}(1{)}_2$ Chern-Simons theory. This theory has a spin-1 droplet excitation that does not carry a baryon number, which we identify as a vector meson. We also discuss the effective theories and baryonic droplet excitations on the domain walls of the flavor-singlet mesons in the superfluid phases of QCD at large isospin density and two-color QCD at large baryon density.

13 pages; v2: minor revisions, published version

References in corpus (12)

• Theta, Time Reversal, and Temperature
• Level/rank Duality and Chern-Simons-Matter Theories
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
• Phase structure, collective modes, and the axial anomaly in dense QCD
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Skyrmions, Quantum Hall Droplets, and one current to rule them all
• Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle
• Quantum nucleation of topological solitons
• QCD and the eta prime Mass: Instantons or Confinement?
• Vector mesons on the wall
• Hall Droplet Sheets in Holographic QCD