Interactions of reggeized gluons in the Möbius representation
Interactions of reggeized gluons in the Möbius representation
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莫比乌斯表示中调节胶子的相互作用
DOI：
10.1016/j.nuclphysb.2004.10.008
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
G. Vacca
中科院分区：
文献类型：
--
作者：
J. Bartels;L. Lipatov;G. Vacca
我们调查的后果莫比乌斯不变性的BFKL哈密顿量和三重坡密子顶点。特别地，我们证明了QCD中的三重Pomeron顶点，当限制到大的Nclimit和Möbius函数空间时，简化并减少到Balitsky-Kovchegov（BK）方程中使用的顶点。因此，BK方程的偶极子密度出现作为一个特殊的情况下，非线性发展方程的总和的扇形图BFKL绿色的功能在莫比乌斯表示。我们还计算了莫比乌斯函数空间中三重Pomeron顶点的修正量O（1/（Nc 2 −1）），并给出了BK方程在1/Nc 2展开式中次首阶近似下的推广.
We investigate consequences of the Möbius invariance of the BFKL Hamiltonian and of the triple Pomeron vertex. In particular, we show that the triple Pomeron vertex in QCD, when restricted to the large Nclimit and to the space of Möbius functions, simplifies and reduces to the vertex used in the Balitsky–Kovchegov (BK) equation. As a result, the BK equation for the dipole density appears as a special case of the non-linear evolution equation which sums the fan diagrams for BFKL Green's functions in the Möbius representation. We also calculate the corrections O(1/(Nc2−1)) to the triple Pomeron vertex in the space of Möbius functions, and we present a generalization of the BK equation in the next-to-leading order approximation in the 1/Ncexpansion.