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

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arxiv 2010.10544 v2 pith:JF7R7AFB submitted 2020-10-20 hep-th hep-phnucl-th

classification hep-thhep-phnucl-th
keywords vectordomainchern-simonsmesonswallsbaryonsdominanceconditions
verification ladder T0 review T1 audit T2 compute T3 formal
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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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