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.
Highlights
QCD is a theory that we understand very well at the two edges of the RG flow
In this work we show that the identification of the vector mesons as the CS fields is intimately related to hidden local symmetry (HLS) and Vector Dominance (VD), at least in the large N limit
Theory→Phenomenology: Assuming that the vector mesons are the CS fields, we can demand that the low energy effective theory will reproduce the correct domain wall theories and baryonic spectrum, as expected from theory
Summary
QCD is a theory that we understand very well at the two edges of the RG flow. At very high energies it is described as a weakly interacting SU(N ) gauge theory coupled to Nf fundamental fermions. 2. Theory→Phenomenology: Assuming that the vector mesons are the CS fields, we can demand that the low energy effective theory will reproduce the correct domain wall theories and baryonic spectrum, as expected from theory. For the baryon current derived from the full WZ term to reproduce the correct baryonic spectrum, the CS fields should be identified with the ω vector meson, and one condition on the parameters of the hWZ action must be imposed. This condition is satisfied if one assumes VD.
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