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.

中文翻译：

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矢量优势、一种风味重子和来自“隐藏”Wess-Zumino 术语的 QCD 畴壁

我们进一步探讨了最近的一项提议，即 QCD 中的矢量介子在各种 QCD 对象（例如畴壁和单味重子）上作为 Chern-Simons 场具有特殊作用。我们计算了对畴壁理论和来自包括矢量介子在内的广义 Wess-Zumino 项的重子电流的贡献。导致预期的陈-西蒙斯项和正确的重子谱的条件与矢量介子优势的条件一致。这一观察结果为矢量优势的现象学原理提供了理论解释，也为将矢量介子识别为陈-西蒙斯场提供了实验证据。通过直接从动作中推导出陈-西蒙斯理论，我们获得了关于 QCD 畴壁的新结果。一个结论是畴壁之间存在作为夸克质量函数的一阶相变。我们还讨论了我们的结果在胶子和矢量介子之间的 Seiberg 二元性中的应用，并提供了支持二元性的新证据。