在坐标空间中求解NLO BK方程
Solving the NLO BK equation in coordinate space
摘要:
我们提出的结果,从下一个领先的顺序(NLO)Balitsky-Kovchegov(BK)方程在坐标空间中的大Nc极限的数值解。我们表明,解决方案是不稳定的初始条件,接近那些用于唯象应用的领先阶方程。我们确定的NLO内核中的问题条款有关的一个小的父偶极大小的大cumms,也表明,重写方程的“共形偶极”并没有删除的问题。我们的结果定性地同意预期的基础上的行为的线性NLO BFKL方程。
英文摘要:
We present results from a numerical solution of the next-to-leading order (NLO) Balitsky-Kovchegov (BK) equation in coordinate space in the large Nc limit. We show that the solution is not stable for initial conditions that are close to those used in phenomenological applications of the leading order equation. We identify the problematic terms in the NLO kernel as being related to large logarithms of a small parent dipole size, and also show that rewriting the equation in terms of the "conformal dipole" does not remove the problem. Our results qualitatively agree with expectations based on the behavior of the linear NLO BFKL equation.
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