摘要
AdS/CFT对偶和全息原理这一深刻的概念有着十分紧密的联系。不论在高能还是在凝聚态领域,有许多非常重要的强耦合问题,比如夸克禁闭、超导等等,这些问题常常可以纳入场论的范畴;然而,场论中的强耦合问题是极其困难的。由于AdS/CFT对偶是一种强弱对偶,所以这就为解决场论中的强耦合问题打开了一个十分重要的窗口:我们可以通过研究一个弱耦合的弦理论(或者引力理论),来得到强耦合的场论中的一些信息。反过来,利用场论也有助于解决引力理论中的一些重要的强耦合问题。正因为如此,AdS/CFT对偶从提出之初就引起了人们的极大兴趣。
QCD作为一种近似的共形场论,AdS/QCD全息对偶模型近年来也得到了人们的广泛研究,得到了与实验相吻合的结果。在介绍了SU(2)L(?)SU(2)R对称的全息模型中的介子性质后,我们主要计算了SU(3)L(?)SU(3)R对称全息Hard-Wall和Soft-Wall模型中的矢量奇异介子,轴矢量奇异介子和魇标量奇异介子性质包括衰变常数、电荷半径和形状因子等。
研究强子的内部结构一直是理论和物理实验的一个研究重点。根据G.A.Miller提出的无穷大动量框架内的介子横向电荷密度分布函数,我们计算了在三种AdS/QCD全息模型中的介子电荷密度分布。我们的结论指出介子的中心处的横向电荷密度分布与介子大动量转移处的形状因子有关,我们给出了一个一般性的结论。
AdS/CFT duality and the holographic principle has very close links. Both in the fields of high energy or condensed matter, there are many strong coupling issues, such as quark confinement, superconductivity and so on, these problems can often be included in the scope of field theory; However, in the strongly coupled field theory problem is extremely difficult. As the AdS/CFT duality is a strong or weak duality, so this is to solve the field theory of the strong coupling opens an important window:we can study a weakly coupled string theory (or theory of gravity) to be strongly coupled field theory some of the information. Conversely, use of field theory can also help resolve some of the important theory of gravity in the strong coupling problem. Because of this, AdS/CFT duality from the beginning made great interest.
QCD as an approximation of the conformal field theory, AdS/QCD holographic dual model in recent years has also been extensively studied. Results are consistent with the experimental data. After introducing the meson properties in SU(2)L (?)SU(2)R symmetrical holographic dual model, we mainly calculated vector strange meson, axial vector exotic meson and the pseudoscalar strange meson properties, including scattering constant, charge radius and form factor in SU(3)L (?)SU(3)R symmetry holographic Hard-Wall and Soft-Wall model.
Study the internal structure of hadrons has been a theoretical and experimental physics research priority. According to G.A.Miller's meson transverse charge density distribution function in the infinite momentum frame, we calculated meson charge density distribution in three kinds of AdS/QCD holographic model. We conclude that the horizontal center of meson charge density distribution is related to the form factor at large momentum transfer. We give a general conclusion.
引文
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