Holographic QCD integrated back to hidden local symmetry
Holographic QCD integrated back to hidden local symmetry
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DOI：
10.1103/physrevd.82.076010
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发表时间：
2010-07
影响因子：
5
通讯作者：
M. Harada;S. Matsuzaki;K. Yamawaki
中科院分区：
文献类型：
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作者：
M. Harada;S. Matsuzaki;K. Yamawaki
我们开发了一种先前提出的规范不变方法，将矢量和轴矢量介子的 Kaluza-Klein (KK) 模式的无限塔集成在一类全息 QCD (HQCD) 模型中。我们的方法将 HQCD 简化为具有隐藏局部对称性 (HLS) 的手性微扰理论，仅将最低 KK 模式识别为 HLS 规范玻色子。我们将 Sakai-Sugimoto 模型作为具体的 HQCD，并完全确定了 O(p{sup 4}) 项以及 Dirac-Born-Infeld 部分的 O(p{sup 2}) 项和 Chern-Simons 部分的异常相关（固有宇称奇数）规范不变项。更高 KK 模式的效果完全包含在这些术语中。为了证明我们方法的强大功能，我们计算了几种形状因子的动量依赖性，例如π介子电磁形状因子以及{pi} {sup 0} - {gamma}和{omega} - {pi} {sup 0}过渡形状因子，与实验相比，由于处理无限和的复杂性，这在之前尚未实现。我们还研究其他与异常相关的量，例如 {gamma}{sup *}-{pi}{sup 0}-{pi}{sup +}-{pi}{sup -} 和 {omega}-{pi}{sup 0}-{pi}{sup +}-{pi}{sup -} 顶点函数。
We develop a previously proposed gauge-invariant method to integrate out an infinite tower of Kaluza-Klein (KK) modes of vector and axial-vector mesons in a class of models of holographic QCD (HQCD). The HQCD is reduced by our method to chiral perturbation theory with hidden local symmetry (HLS), having only the lowest KK mode identified as the HLS gauge boson. We take the Sakai-Sugimoto model as a concrete HQCD, and completely determine the O(p{sup 4}) terms as well as the O(p{sup 2}) terms from the Dirac-Born-Infeld part and the anomaly-related (intrinsic-parity odd) gauge-invariant terms from the Chern-Simons part. Effects of higher KK modes are fully included in these terms. To demonstrate the power of our method, we compute momentum dependences of several form factors, such as the pion electromagnetic form factors, and the {pi}{sup 0}-{gamma} and {omega}-{pi}{sup 0} transition form factors, compared with experiment, which was not achieved before due to the complication of handling infinite sums. We also study other anomaly-related quantities like {gamma}{sup *}-{pi}{sup 0}-{pi}{sup +}-{pi}{sup -} and {omega}-{pi}{sup 0}-{pi}{sup +}-{pi}{sup -} vertex functions.