论文标题
Tachyonic ADS/QCD,确定ADS空间的UV和IR区域中强的运行耦合和β功能
Tachyonic AdS/QCD, Determining the Strong Running Coupling and β-function in both UV and IR Regions of AdS Space
论文作者
论文摘要
在本文中,我们研究了QCD在速度ADS/QCD的精神上调查了运行$α_s^{ads}(ads}(q^{2})$和相关的$β$ -Function $β(q^{2})$。我们使用\ textIt {color介电函数} $ g(ϕ(z))$扭曲了$ \ text {ads} _5 $ sonformal对称性。预计在该区域获得的结果将产生与扰动QCD相似的特征。我们进一步研究了与\ textIt {凝结的Tachyon颜色介电函数} $ g(η(z))$的形状对称性的失真,该函数导致IR区域中的\ textIt {color Collinement},类似于低能量的非能量非逆势QCD。将在该区域获得的结果与具有阳性DILATON曲线的ADS/QCD进行比较,$ e^{κ^2 z^2} $。 \ textIt {color介电函数}仔细定义,以在两个区域中生成所需的特征,仅依赖于第五维坐标$ z $。
In this paper we investigate the QCD running coupling $α_s^{AdS}(Q^{2})$ and the associated $β$-function $β(Q^{2})$ in the spirit of tachyonic AdS/QCD. We distort the $\text{AdS}_5$ conformal symmetry using \textit{color dielectric function} $G(ϕ(z))$ associated with free tachyons. Results obtained in this region are expected to present characteristics similar to the perturbative QCD. We further study the distortion of the conformal symmetry with \textit{condensed tachyon color dielectric function} $G(η(z))$ which leads to \textit{color confinement} in the IR region similar to low energy nonperturbative QCD. Results obtained in this region are compared with AdS/QCD with positive dilaton profile, $e^{κ^2 z^2}$. The \textit{color dielectric function} is carefully defined to generate the needed characteristics in both regions with dependence only on fifth dimensional coordinate $z$.