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arXiv 0708.3069hep-thhep-ph
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N=4 SYM理论中胶子散射振幅的Regge行为

Regge behavior of gluon scattering amplitudes in N=4 SYM theory

Stephen G. Naculich, Howard J. Schnitzer

摘要:

研究表明,N=4的超对称Yang-Mills理论在平面极限下的四胶子散射振幅,在弱耦合和强耦合极限下,都可以写成正则化振幅,有一个母轨线和无限多个子轨线.这一结果关键依赖于这样一个事实,即对于所有耦合值,主导IR发散和振幅的有限对数^2(s/t)依赖部分都具有相同的函数特征,这一点由伯尔尼、狄克逊和斯米尔诺夫证明,并由阿尔代和马尔达塞纳在强耦合极限下证明。我们使用Alday-Maldacena的结果来确定强耦合Regge轨迹。

英文摘要:

It is shown that the four-gluon scattering amplitude for N=4 supersymmetric Yang-Mills theory in the planar limit can be written, in both the weak- and strong-coupling limits, as a reggeized amplitude, with a parent trajectory and an infinite number of daughter trajectories. This result relies crucially on the fact that the leading IR-divergence and the finite log^2(s/t)-dependent piece of the amplitude are characterized by the same function for all values of the coupling, as conjectured by Bern, Dixon, and Smirnov, and proved by Alday and Maldacena in the strong-coupling limit. We use the Alday-Maldacena result to determine the strong-coupling Regge trajectory.

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