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arXiv 0903.0322hep-ph
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描述有限个Regge谱激发态介子的AdS/QCD模型

AdS/QCD models describing a finite number of excited mesons with Regge spectrum

S. S. Afonin

摘要:

典型的AdS/QCD模型处理的是QCD的大N_c极限,结果是介子谱由无限多个态组成,这与实际情况相差甚远。在引入全息势的非谐修正的基础上,构造了一类自底向上的全息模型,描述了轻介子扇形中任意有限个态.在本文方法中,质量平方谱具有以下性质:在n不太大时,质量平方谱是线性的,$m_n^2\sim n$,在n较大时,质量平方谱是非线性的,非线性修正在1/N_c中是次超前的,质量平方谱有一个极限,状态数与N_c成正比。所考虑的全息模型反映,从而合并的共振到连续和胶子弦在足够大的夸克-反夸克分离,导致线性雷奇轨迹弯曲向下断裂。我们表明,这些模型提供了一个正确的描述激发ρ介子的光谱。

英文摘要:

The typical AdS/QCD models deal with the large-N_c limit of QCD, as a consequence the meson spectrum consists of the infinite number of states that is far from the real situation. Basing on introduction of anharmonic corrections to the holographic potential, the corrections whose existence has been recently advocated, we construct a class of bottom-up holographic models describing arbitrary finite number of states in the sector of light mesons. Within the proposed approach, the spectrum of masses square has the following properties: It is linear, $m_n^2\sim n$, at not very large n, nonlinear at larger n, with the nonlinear corrections being subleading in 1/N_c, has a limiting mass, and the number of states is proportional to N_c. The considered holographic models reflect thereby the merging of resonances into continuum and the breaking of gluon string at sufficiently large quark-antiquark separation that causes the linear Regge trajectories to bend down. We show that these models provide a correct description for the spectrum of excited rho-mesons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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