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

TL;DR

This paper investigates the role of vector mesons in QCD as Chern-Simons fields on domain walls and baryons, providing a theoretical basis for vector dominance and new insights into QCD domain wall phenomena.

Contribution

It introduces a generalized Wess-Zumino term including vector mesons, linking vector dominance to Chern-Simons theories and deriving new results about QCD domain walls and phase transitions.

Findings

Vector mesons act as Chern-Simons fields on QCD objects.

Existence of a first order phase transition between domain walls.

Support for Seiberg duality between gluons and vector mesons.

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.