论文标题
墙上的媒介介子
Vector mesons on the wall
论文作者
论文摘要
最近，提出了$η'$ Meson的域壁配置（称为煎饼或霍尔液滴），以描述用spin $ n_c/2 $的baryons描述重子。为了了解其重子数字以及风味量子数，我们认为矢量介子（$ρ$和$ω$介子）应该对整个图片的一致性发挥至关重要的作用。我们通过考虑涉及$θ$ - 周期性和全球对称性的混合异常来确定具有$ n_f $ sosseless费米斯的大型$ n_c $ qCD的有效理论。异常匹配需要一个动态域墙，支持$ u（n_f）_ { - n_c} $ chern-simons理论。我们考虑应在域壁边缘施加的边界条件，并得出结论，应该有一个边界项将$ u（n_f）_ { - n_c} $ gauge字段耦合到向量介子。我们讨论了对手性相变的物理的影响以及与QCD的“双重性”的关系。
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 $N_c/2$. 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-$N_c$ QCD with $N_f$ 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 $U(N_f)_{-N_c}$ 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 $U(N_f)_{-N_c}$ 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.
