Vector dominance, one flavored baryons, and QCD domain walls from the "hidden" Wess-Zumino term

Abstract

We further explore a recent proposal that the vector mesons in QCD have a special role as Chern-Simons fields on various QCD objects such as domain walls and the one flavored baryons. We compute contributions to domain wall theories and to the baryon current coming from a generalized Wess-Zumino term including vector mesons. The conditions that lead to the expected Chern-Simons terms and the correct spectrum of baryons, coincide with the conditions for vector meson dominance. This observation provides a theoretical explanation to the phenomenological principle of vector dominance, as well as an experimental evidence for the identification of vector mesons as the Chern-Simons fields. By deriving the Chern-Simons theories directly from an action, we obtain new results about QCD domain walls. One conclusion is the existence of a first order phase transition between domain walls as a function of the quarks' masses. We also discuss applications of our results to Seiberg duality between gluons and vector mesons and provide new evidence supporting the duality.

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• Hall Droplet Sheets in Holographic QCD
• Scale symmetry and composition of compact star matter
• Anomalies for anomalous symmetries
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• A consistent two-skyrmion configuration space from instantons
• Fractionalized Quasiparticles in Dense Baryonic Matter
• Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter