色自旋系统、BKP演化和有限N_c效应
Colored Spin Systems, BKP Evolution and finite N_c effects
摘要：
即使在领先的对数近似的框架内的BKP内核的特征值的状态超过三个reggeized胶子是未知的一般情况下，相反的平面极限的情况下，问题变得可积。我们考虑一个4-胶子核的有限数量的颜色，并定义了一些简单的玩具模型的位形空间动力学，这是直接解决群论方法。然后，我们研究了这些模型的光谱对颜色数的依赖性，并与大极限情况进行了比较。
英文摘要：
Even within the framework of the leading logarithmic approximation the eigenvalues of the BKP kernel for states of more than three reggeized gluons are unknown in general, contrary to the planar limit case where the problem becomes integrable. We consider a 4-gluon kernel for a finite number of colors and define some simple toy models for the configuration space dynamics, which are directly solvable with group theoretical methods. Then we study the dependence of the spectrum of these models with respect to the number of colors and make comparisons with the large limit case.
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