论文标题
自下而上全息QCD中黑龙径向光谱的新方法
A new approach to radial spectrum of hadrons in bottom-up holographic QCD
论文作者
论文摘要
在ADS/CFT对应中，用于描述$ \ Mathcal {n} = 4 $超级阳米尔斯理论在四个维度中，不仅需要对ADS $ _5 $的低能超级延长，而且还需要大量的无限tower tower of Ads of Ads $ _5 $ _5 $ _5 \ s 5 $ _5球体。在现象学广告/QCD模型中通常会忽略后一个方面。 ADS上的新兴5D字段$ _5 $在4D仪表理论中对高维运算符是双重的，其中质量是这些运营商的规范尺寸的多项式函数。通过这种观察，我们建议在自下而上的全息QCD模型中计算径向激发的载体的光谱，以作为QCD中零kk模式的零KK模式的频谱。提出了相关的身体动机。然后，通过插值QCD操作员的尺寸不断增长，列举了质量增长的径向状态。我们测试了轻膜膜领域的软壁和硬壁全息模型中的建议。在新的描述中，软墙模型的光谱未改变。但是在硬墙模型中，我们的方法被证明会导致矢量径向激发的现象学光谱比传统描述更好。
Within the AdS/CFT correspondence, for description of $\mathcal{N}=4$ super Yang-Mills theory in four dimensions one needs not only low-energy supergravity on AdS$_5$ but also the whole infinite tower of massive Kaluza-Klein (KK) states on AdS$_5\times$S$_5$ which appear after the KK-compactification on five-dimensional sphere. The latter aspect is usually ignored in phenomenological AdS/QCD models. The emerging massive 5D fields on AdS$_5$ are dual to higher-dimensional operators in 4D gauge theory, with masses being known polynomial functions of canonical dimensions of these operators. Motivated by this observation, we propose to calculate the spectrum of radially excited hadrons in bottom-up holographic QCD models as spectrum of zero KK modes of massive 5D fields dual to higher dimensional operators in QCD. A relevant physical motivation is suggested. The radial states with growing masses are then enumerated by growing dimensions of interpolating QCD operators. We tested the proposal in the Soft Wall and Hard Wall holographic models in the sector of light mesons. The spectrum of Soft Wall model turns out to be unchanged in the new description. But in the Hard Wall model, our approach is shown to lead to a much better phenomenological spectrum of vector radial excitations than the traditional description.
