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arXiv 1109.6010hep-thhep-phnucl-th
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AdS中静电荷的射流物理

Jet Physics from Static Charges in AdS

Yang-Ting Chien, Matthew D. Schwartz, David Simmons-Duffin, Iain W. Stewart

摘要:

利用微扰规范理论的近似共形行为,在径向坐标系中研究了与高能喷流的软相互作用。在这些坐标系中,由威尔逊线近似的射流变成了欧几里得AdS中的静电荷。相应的威尔逊线算符的反常维数则由电荷的势能决定。为了研究这些威尔逊线,我们引入了一个“共形规范”,它没有径向和角向之间的动力学混合,并表明,威尔逊线的一些属性是通过相对简单的计算再现。例如,某些涉及多条威尔逊线的非平面图会自动消失。讨论了电荷虚势能随分离度的线性增长,以及Wilson线图与Witten线图之间的关系。

英文摘要:

Soft interactions with high-energy jets are explored in radial coordinates which exploit the approximately conformal behavior of perturbative gauge theories. In these coordinates, the jets, approximated by Wilson lines, become static charges in Euclidean AdS. The anomalous dimension of the corresponding Wilson line operator is then determined by the potential energy of the charges. To study these Wilson lines we introduce a "conformal gauge" which does not have kinetic mixing between radial and angular directions, and show that a number of properties of Wilson lines are reproduced through relatively simple calculations. For example, certain non-planar graphs involving multiple Wilson lines automatically vanish. We also discuss the linear growth of the charges' imaginary potential energy with separation, and a relationship between Wilson line diagrams and Witten diagrams.

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