论文标题
旨在调和径向激发的Hadron的全息图和晶格描述
Towards reconciling the holographic and lattice descriptions of radially excited hadrons
论文作者
论文摘要
在ADS/QCD模型的框架内，在推定的双重理论中，用Kaluza-Klein（KK）状态的塔鉴定了径向激发的Hadron的光谱。无限数量的KK状态是必不可少的，即可在QCD中提供正确的相关函数的高能量渐近学。然而，众所周知，双重理论的KK模式必须在质上与真实的哈子不同。更重要的是，径向激发的状态出现在晶格计算中，而不是某种基态的“激发”，而是独立的状态与更高维QCD运算符耦合在一起 - 越大的是插值操作员的基础，可以解析较大的一组状态。出现一个问题，是否有可能调和径向兴奋的哈德子的全息图和晶格描述？我们为自下而上的全息模型提出了一种新的现象学“一致性测试”：如果与QCD中较高维操作员相对应的大量5D场的KK频谱与QCD中的较高维操作员相吻合，则可以在QCD的大NC中识别出几个QCD的实际兴奋的Mesons的常规径向KK频谱，则可以识别出QCD的实际兴奋者。由不同规范维度的操作员插值。我们证明，软壁全息模型通过此测试，而硬壁模型则没有。
Within the framework of AdS/QCD models, the spectra of radially excited hadrons are identified with towers of Kaluza-Klein (KK) states in a putative dual theory. The infinite number of KK states is indispensable to provide correct high energy asymptotics of correlation functions in QCD. It is known, however, that the KK modes of dual theory must be qualitatively different from real hadrons. And what is more important, the radially excited states appear in lattice calculations not as "excitations" of some ground state, but rather as independent states coupled to higher dimensional QCD operators - the larger is a basis of interpolating operators, the larger set of states can be resolved. A question arises whether it is possible to reconcile the holographic and lattice descriptions of radially excited hadrons? We propose a new phenomenological "consistency test" for bottom-up holographic models: If the KK spectrum of massive 5D fields corresponding to higher dimensional operators in QCD coincides with the conventional radial KK spectrum, then the holographic KK states can be identified with real excited mesons in the large-Nc limit of QCD - as in the lattice QCD, they become a superposition of several states interpolated by operators of different canonical dimensions. We demonstrate that the Soft Wall holographic model passes this test while the Hard Wall model does not.
