论文标题
全息QCD中的胶合球膜混合
Glueball-Meson Mixing In Holographic QCD
论文作者
论文摘要
自上而下的全息QCD模型通常在“探针”（或“淬灭”）限制中起作用，该模型假设颜色的数量大于口味的数量。放松此限制对于对全息图和更准确的现象学预测的更全面理解至关重要。在这项工作中，我们专注于由DBI动作作为有限的NF/NC效应产生的粘合球和介子质量特征状态的混合。为了具体，我们在Witten-Sakai-Sugimoto模型中工作，并表明必须将这种混合与风味麸的反应一起处理到背景几何形状上。包括在紧凑的横向方向上“涂抹”的简化后反应，我们为矢量胶球和标量状态提供了有效的有效动作。在途中，我们观察到一种类似Stueckelberg的机制，该机制在横向方向上恢复了翻译不变性。我们还得出了一种通用技术，该技术可以轻松地适合数字，以找到具有矢量 - 量表混合的拉格朗日人的质量特征状态。然后，我们将一阶校正计算为矢量和标量粒子的质谱，并表明明确混合向量和标量状态的术语是对低洼标量介体质量的最显着校正。
Top-down holographic QCD models often work in the "probe" (or "quenched") limit, which assumes that the number of colors is much greater than the number of flavors. Relaxing this limit is essential to a fuller understanding of holography and more accurate phenomenological predictions. In this work, we focus on a mixing of glueball and meson mass eigenstates that arises from the DBI action as a finite Nf/Nc effect. For concreteness, we work in the Witten-Sakai-Sugimoto model, and show that this mixing must be treated in conjunction with the backreaction of the flavor branes onto the background geometry. Including the backreaction with the simplification that it is "smeared out" over the compact transverse direction, we derive a corrected effective action for the vector glueball and scalar states. Along the way, we observe a Stueckelberg-like mechanism that restores translation invariance in the transverse direction. We also derive a general technique, that lends itself easily to numerics, for finding mass eigenstates of Lagrangians with vector-scalar mixing. We then calculate the first order corrections to the mass spectra of both the vector and scalar particles, and show that the term that explicitly mixes vector and scalar states is the most significant correction to the masses of low-lying scalar mesons.
