论文标题
Gribov-Zwanziger限制,高能量演化和散射幅度的大冲击参数行为
Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
论文作者
论文摘要
在本文中,我们在Gribov-Zwanziger方法中得出了高能量演化方程,以限制夸克和胶子。我们证明了新方程在大冲击参数下会产生散射幅度的指数下降,并解决了CGC(彩色玻璃冷凝物)高能量有效理论的主要困难。如果Gribov-Zwanziger方法中的Gluon繁殖物在小动量时不会消失,则会发生这种行为。求解非线性方程以用于深度非弹性散射,我们表明建议的方程式导致带有半径($ r_f $)的froissart盘,该光盘的增加为$ r_f \,\ propto y = \ ln(1/x)$,并且具有有限宽度的$ | | | | | | | |的有限宽度。 b -r_f | $。
In this paper we derive the high energy evolution equation in the Gribov-Zwanziger approach, for the confinement of quarks and gluons. We demonstrate that the new equation generates an exponential decrease of the scattering amplitude at large impact parameter, and resolves the main difficulties of CGC (Colour Glass Condensate) high energy effective theory. Such behaviour occurs if the gluon propagator in Gribov-Zwanziger approach, does not vanish at small momenta. Solving the non-linear equation for deep inelastic scattering, we show that the suggested equation leads to a Froissart disc with radius ($R_F$), which increases as $ R_F \,\propto Y = \ln (1/x)$, and with a finite width for the distribution over $| b - R_F|$.