Alday-Maldacena极小的一些性质
Some properties of the Alday-Maldacena minimum
摘要：
Alday-Maldacena解是AdS_5 sigma模型运动方程解的模空间中正则化作用量的极小值，它与强耦合下N=4 SYM中n=4胶子振幅有关.类似的解决方案的Nambu-Goto方程的n=4的情况下，并示出形成（模的重新参数化组）一个同样大，但不同的模空间，与Alday-Maldacena解决方案的交叉口的西格玛模型和Nambu-Goto模空间。我们讨论了n=5时正则化作用的可能形式。本文提出了一个模参数z_a的函数，它的最小值再现了BDDK单圈五胶子振幅。因此，该函数可以被认为是BDDK公式的某种勒让德变换，并且具有独立于Alday-Maldacena方法的自身值。
英文摘要：
The Alday-Maldacena solution, relevant to the n=4 gluon amplitude in N=4 SYM at strong coupling, was recently identified as a minimum of the regularized action in the moduli space of solutions of the AdS_5 sigma-model equations of motion. Analogous solutions of the Nambu-Goto equations for the n=4 case are presented and shown to form (modulo the reparametrization group) an equally large but different moduli space, with the Alday-Maldacena solution at the intersection of the sigma-model and Nambu-Goto moduli spaces. We comment upon the possible form of the regularized action for n=5. A function of moduli parameters z_a is written, whose minimum reproduces the BDDK one-loop five-gluon amplitude. This function may thus be considered as some kind of Legendre transform of the BDDK formula and has its own value independently of the Alday-Maldacena approach.
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