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Photontopion transition form factor and pion distribution amplitude from holographic QCD  
Zuo F(左芬); 黄涛(理);Zuo, F; Huang, T  
2012  
Source Publication  EUROPEAN PHYSICAL JOURNAL C 
Volume  72Issue:1Pages:1813 
Abstract  We try to understand the recently observed anomalous behavior of the photontopion transition form factor in the holographic QCD approach. First the holographic description of the anomalous gamma*gamma*pi(0) form factor is reviewed and applied to various models. It is pointed out that the holographic identification of the pion mode from the 5D gauge field strength rather than the gauge potential, as first made by Sakai and Sugimoto, naturally reproduces the scaling behavior of various pion form factors. It is also illustrated that in describing the anomalous form factor, the holographic approach is asymptotically dual to the perturbative QCD (pQCD) framework, with the pion mode pi(z) similar to z corresponding to the asymptotic pion distribution amplitude. This indicates some inconsistency in lightfront holography, since pi(z) similar to z would be dual to phi(x) similar to root x(1 x) there. This apparently contradictory can be attributed to the fact that the holographic wave functions are effective ones, as observed early by Radyushkin. After clarifying these subtleties, we employ the relation between the holographic and the perturbative expressions to study possible asymptotic violation of the transition form factor. It is found that if one require that the asymptotic form factor possess a pQCDlike expression, the pion mode can only be ultravioletenhanced by logarithmic factors. The minimally deformed pion mode will then be of the form pi(z) similar to z ln(z Lambda)(1). We suppose that this deformation may be due to the coupling of the pion with a nontrivial open string tachyon field, and then the parameter Lambda will be related to the quark condensate. Interestingly, this pion mode leads immediately to Radyushkin's logarithmic model, which fitted very well the experimental data in the largeQ(2) region. On the other side, the pQCD interpretation with a flatlike pion distribution amplitude, proposed by Radyushkin and Polyakov, fails to possess a holographic expression. 
Subject Area  Physics 
DOI  10.1140/epjc/s1005201118130 
Indexed By  SCI ; INSPIREHEP ; ADS 
WOS ID  WOS:000300631800023 
ADS Bibcode  2012EPJC...72.1813Z 
ADS URL  https://ui.adsabs.harvard.edu/abs/2012EPJC...72.1813Z 
ADS CITATIONS  https://ui.adsabs.harvard.edu/abs/2012EPJC...72.1813Z/citations 
inspireid  901889 
inspireURL  https://inspirehep.net/literature/901889 
Citation statistics 
Cited Times:12 [INSPIRE]
Cited Times:13 [ADS]

Document Type  期刊论文 
Identifier  http://ir.ihep.ac.cn/handle/311005/224446 
Collection  中国科学院高能物理研究所 
Recommended Citation GB/T 7714  Zuo F,Huang T,Huang, T. Photontopion transition form factor and pion distribution amplitude from holographic QCD[J]. EUROPEAN PHYSICAL JOURNAL C,2012,72(1):1813. 
APA  左芬,黄涛,&Huang, T.(2012).Photontopion transition form factor and pion distribution amplitude from holographic QCD.EUROPEAN PHYSICAL JOURNAL C,72(1),1813. 
MLA  左芬,et al."Photontopion transition form factor and pion distribution amplitude from holographic QCD".EUROPEAN PHYSICAL JOURNAL C 72.1(2012):1813. 
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