Triple pomeron vertex in the limit $N_c\rightarrow\infty$

Triple pomeron vertex in the limit $N_c\rightarrow\infty$
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极限 $N_c ightarrowinfty$ 中的三重波默龙顶点

DOI:
10.1007/s100529800905
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发表时间:
1999
期刊:
The European Physical Journal C - Particles and Fields
影响因子:
--
通讯作者:
G. Vacca
G. Vacca
中科院分区:
--
文献类型:
--
作者:
M. Braun;G. Vacca

文献摘要

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抽象的。在硬坡密子理论中, 本文将文[3]中得到的衍射振幅N_c\rightarrow\infty$与 在[1]和[5]的偶极子方法中,N_c=3。结果表明,双坡密子交换贡献可以用等价的三重坡密子相互作用项代替。经过这样的替换,文[1,3,5]中的三重坡密子顶点基本重合.证明了在任何形式下,三重坡密子顶点都是共形不变的。它还表明,在偶极子方法中的高阶密度不涉及1至k pomeron顶点, $k>2$,而是由一组只有三重坡密子耦合的坡密子扇形图给出。
Abstract. In the hard pomeron theory with the number of colours $N_c\rightarrow\infty$ the diffractive amplitude obtained in [3] is compared with the results found for $N_c=3$ in [1] and in the dipole approach in [5]. It is shown that the double pomeron exchange contribution can be substituted by an equivalent triple pomeron interaction term. After such a substitution the triple pomeron vertices in [1,3,5] essentially coincide. It is demonstrated that, in any form, the triple pomeron vertex is conformal invariant. It is also shown that higher order densities in the dipole approach do not involve 1 to k pomeron verteces with $k>2$ but are rather given by a set of pomeron fan diagrams with only a triple pomeron coupling.