Abstract
A domain-wall configuration of the η′ meson bounded by a string (called a pancake or a Hall droplet) is recently proposed to describe the baryons with spin Nc/2. In order to understand its baryon number as well as the flavor quantum number, we argue that the vector mesons (the ρ and ω mesons) should play an essential role for the consistency of the whole picture. We determine the effective theory of large-Nc QCD with Nf massless fermions by taking into account a mixed anomaly involving the θ-periodicity and the global symmetry. The anomaly matching requires the presence of a dynamical domain wall on which a \( \mathrm{U}{\left({N}_f\right)}_{-{N}_c} \) Chern-Simons theory is supported. We consider the boundary conditions that should be imposed on the edge of the domain wall, and conclude that there should be a boundary term that couples the \( \mathrm{U}{\left({N}_f\right)}_{-{N}_c} \) gauge field to the vector mesons. We discuss the impact on physics of the chiral phase transition and the relation to the “duality” of QCD.
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Kitano, R., Matsudo, R. Vector mesons on the wall. J. High Energ. Phys. 2021, 23 (2021). https://doi.org/10.1007/JHEP03(2021)023
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DOI: https://doi.org/10.1007/JHEP03(2021)023