发表机构
Tel Aviv University（特拉维夫大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在Braun哈密顿量的Pomeron场理论框架下推导了高能饱和区偶极-偶极散射矩阵的渐近形式，与稀有涨落方法及大Pomeron圈求和的结果矛盾，还探讨了哈密顿量结构对散射振幅渐近行为的影响。
AI 中文摘要
本文中，我们发现饱和区偶极-偶极相互作用的散射矩阵形式为：当$z \gg 1$时，${\cal S}^d_d \propto \exp\Lb - C^d_d z^2\Rb \propto \Lb {\cal S}_{BK}\Rb^4 = \exp\Lb - 4\\,C_{BK} z^2\Rb$，其中$z = \bas \kappa Y\\,+\\,\ln\Lb \frac{r^2}{r'^2}\Rb$，对应快度为$Y$的偶极$r$与静止偶极$r'$的相互作用。$S_{BK}$为Balitsky-Kovchegov振幅的S矩阵，所有常数均在文中确定。我们在同一理论框架下对两种情况（${\cal S}^d_d$和${\cal S}_{BK}$）给出证明：该框架考虑了领头$1/N_c$近似下的Pomeron顶点（$N_c$为色荷数）。此结果与“稀有”涨落方法及大Pomeron圈求和的结果形成显著矛盾，后两者给出大$z$时${\cal S}^d_d \propto \sqrt{{\cal S}_{BK}}$。此外，我们收集了支持大Pomeron圈求和在宽能区（$Y \leq 1/\as^4$）可信的论据，并以严格可解的一维模型为理论基础，讨论哈密顿量结构对散射振幅渐近行为的影响。
英文摘要
In this paper we find that the scattering matrix for dipole-dipole interaction in the saturation region has the form: ${\cal S}^d_d \xrightarrow{z \,\gg\,1} \exp\Lb - C^d_d z^2\Rb \propto \Lb {\cal S}_{BK}\Rb^4 = \exp\Lb - 4\,C_{BK} z^2\Rb$, where $z = \bas κY\,+\,\ln\Lb \frac{r^2}{r'^2}\Rb$ for interaction of a dipole $r$ at rapidity $Y$ with dipole $r'$ at rest. $S_{BK}$ is the S-matrix for the Balitsky-Kovchegov amplitude. All constants are determined in the text. The proof is given in the same theoretical framework for both cases (${\cal S}^d_d$ and ${\cal S}_{BK}$): the Pomeron interaction which takes into account the Pomeron vertices in the leading $1/N_c$ approximation ($N_c$ is the number of colours). This result is in striking contradiction with 'rare' fluctuation approach as well as with summing the large Pomeron loops. These lead to ${\cal S}^d_d \propto \sqrt{{\cal S}_{BK}}$ at large $z$. In the paper we collect arguments supporting the idea that the sum of large Pomeron loops can be trusted in a wide region of energy: $Y \leq 1/\as^4$. In addition we discuss the influence of the structure of the Hamiltonian on the asymptotic behaviour of the scattering amplitudes using the exactly solvable one dimensional model as our theoretical ground.
Comments15pp. 6 figures in pdf files
