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.

References in corpus (4)

• Vector Mesons and an Interpretation of Seiberg Duality
• The Role of the Dilaton in Dense Skyrmion Matter
• Vector mesons on the wall
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter

Cited by in corpus (8)

• Cusp in the Symmetry Energy, Speed of Sound in Neutron Stars and Emergent Pseudo-Conformal Symmetry
• 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
• 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