Scattering on the Moduli Space of N=4 Super Yang-Mills

Scattering on the Moduli Space of N=4 Super Yang-Mills
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N=4 Super Yang-Mills 模空间上的散射

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发表时间:
2008
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通讯作者:
R. Schabinger
R. Schabinger
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作者:
R. Schabinger

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我们计算了N=4超杨-米尔斯理论中远离模空间原点的单环散射振幅,并证明了结果非常简单,与共形不变理论中的方法大致相同。具体来说,我们考虑SU(2)规范群自发分解为U(1)的模型。模型的完全拉格朗日密度以一种对微扰计算有用的形式给出。我们认为具有大量外态的散射振幅值得进一步研究。最后,我们的工作表明,环路修正可以很容易地在质量调节的N=4理论中计算,这可能与试图将弱耦合结果与强耦合结果联系起来有关,正如Alday和Maldacena最近讨论的那样。
We calculate one-loop scattering amplitudes in N=4 super Yang-Mills theory away from the origin of the moduli space and demonstrate that the results are extremely simple, in much the same way as in the conformally invariant theory. Specifically, we consider the model where an SU(2) gauge group is spontaneously broken down to U(1). The complete component Lagrange density of the model is given in a form useful for perturbative calculations. We argue that the scattering amplitudes with massive external states deserve further study. Finally, our work shows that loop corrections can be readily computed in a mass-regulated N=4 theory, which may be relevant in trying to connect weak-coupling results with those at strong coupling, as discussed recently by Alday and Maldacena.