Renormalon chain contributions to the non-singlet evolution kernels in [φ3]6 and QCD

被引：12

作者：

Mikhailov, SV ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Bogoliubov Lab Theorot Phys, Dubna 141980, Moscow Region, Russia

来源：

PHYSICS LETTERS B | 1998年 / 416卷 / 3-4期

关键词：

DGLAP evolution kernel; anomalous dimensions; multiloop calculation;

D O I：

10.1016/S0370-2693(97)01198-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The contributions to non-singlet evolution kernels P(z), for the DGLAP equation, and V(x, y), for the Brodsky-Lepage equation, are calculated for certain classes of diagrams including the renormalon chains. Closed expressions are obtained for the sums of contributions associated with these diagram classes. Calculations are performed in the [phi(3)](6) model and QCD in the <(MS)over bar> scheme. The contribution of one of the classes of diagrams dominates for a large number of flavours N-f much greater than 1. For the latter case, a simple solution to the Brodsky-Lepage evolution equation is obtained. (C) 1998 Published by Elsevier Science B.V.

引用

页码：421 / 432

页数：12

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