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arXiv 0903.3373hep-phcond-mat.stat-mech
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Reggeon场论的行波解

Traveling wave solution of the Reggeon Field Theory

Robi Peschanski

摘要:

我们将Reggeon场论中的“超临界Pomeron”在冲击参数空间中的非线性演化方程确定为二维随机Fisher-Kolmogorov-Petrovski-Piscounov方程。它完全保持了么正性,并导致在其径向形式的高能量行波的解决方案对应于一个““普遍”的行为的冲击参数的弹性振幅的前配置文件;其快速性的依赖性和形式只取决于一个参数,噪声强度,独立的初始条件和恢复么正性的非线性项。理论预测的三个典型的不同制度对应于零,弱和强噪声。

英文摘要:

We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher-Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity and leads in its radial form to an high energy traveling wave solution corresponding to an ""universal" behaviour of the impact-parameter front profile of the elastic amplitude; Its rapidity dependence and form depend only on one parameter, the noise strength, independently of the initial conditions and of the non-linear terms restoring unitarity. Theoretical predictions are presented for the three typical distinct regimes corresponding to zero, weak and strong noise.

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