论文标题
Gribov-Zwanziger限制的高能量演化：方程的解决方案
High energy evolution for Gribov-Zwanziger confinement: solution to the equation
论文作者
论文摘要
在本文中，我们解决了高能散射的新进化方程，源于Gribov-Zwanziger的方法，用于限制夸克和胶子。我们发现（1）散射振幅的能量依赖性与QCD BFKL演化相同； （2）新方程的光谱不取决于Gribov-Zwanzinger方法的细节，（3）所有本征函数与QCD bfkl方程在大型横向动量$κ\ \ geqq \ geq \，1 $的QCD BFKL方程相吻合。数值计算表明，在大型横向动量下，征收特征功能没有新的特征值的降低速度快于QCD BFKL方程的溶液。 The structure of the gluon propagator in Gribov-Zwanziger approach, that stems from the lattice QCD and from the theoretical evaluation, results in the exponential suppression of the eigenfunctions at long distances and in the resolution of the difficulties, which the Colour Glass Condensate (CGC) and some other approaches, based on perturbative QCD, face at large impact parameters.我们可以得出结论，至少以Gribov-Zwanziger方法的形式，夸克和胶子的限制不影响散射幅度，除了解决其在大影响参数下其行为的长期理论问题。
In this paper we solved the new evolution equation for high energy scattering amplitudethat stems from the Gribov-Zwanziger approach to the confinement of quarks and gluons. We found that (1) the energy dependence of the scattering amplitude turns out to be the same as for QCD BFKL evolution; (2) the spectrum of the new equation does not depend on the details of the Gribov-Zwanzinger approach and (3) all eigenfunctions coincide with the eigenfunctions of the QCD BFKL equation at large transverse momenta $κ\,\geq\,1$. The numerical calculations show that there exist no new eigenvalues with the eigenfunctions which decrease faster than solutions of the QCD BFKL equation at large transverse momenta. The structure of the gluon propagator in Gribov-Zwanziger approach, that stems from the lattice QCD and from the theoretical evaluation, results in the exponential suppression of the eigenfunctions at long distances and in the resolution of the difficulties, which the Colour Glass Condensate (CGC) and some other approaches, based on perturbative QCD, face at large impact parameters. We can conclude that the confinement of quark and gluons, at least in the form of Gribov-Zwanziger approach, does not influence on the scattering amplitude except solving the long standing theoretical problem of its behaviour at large impact parameters.
