论文标题
n = 4符号理论的确切结果：广义的双层方程
Exact result in N=4 SYM theory: Generalised double-logarithmic equation
论文作者
论文摘要
我们介绍了从平面n = 4 sym理论中twist-2运算符的七环异常维度的分析延续获得的广义双重刻板方程的新结果。当出现散射颗粒能量的较大对数时，双层方程与散射幅度的特殊渐近学有关，应按照扰动理论的所有顺序求和。这些大的对数对应于分析性持续异常维度的极点。广义的双层方程式包括转向对数。我们发现，可以用简单的分母以有理函数的形式来将广义的双层方程的扩展。广义双层方程的解决方案在所有扰动理论的所有顺序中都提供了有关分析持续持续异常维度的电线的大量信息。我们还发现了与BFKL方程相关的分析性持续异常维度的广义双层方程。
We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of twist-2 operators in the planar N=4 SYM theory. The double-logarithmic equation is related to the special asymptotic of the scattering amplitudes, when the large logarithms of the energy of scattering particles are appeared and should be summed in all order of perturbative theory. These large logarithms correspond to the poles of the analytically continued anomalous dimension. The generalised double-logarithmic equation includes the subleading logarithms. We have found, that the expansion of the generalised double-logarithmic equation can be ressumed in the form of rational functions with simple denominator. The solution of the generalised double-logarithmic equation provides a lot of information about the poles of the analytically continued anomalous dimension in all orders of perturbative theory. We have found also the generalised double-logarithmic equation for the analytically continued anomalous dimension near the value, which is related with BFKL-equation.
