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arXiv 0804.0872hep-ph
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分析型QCD -简要回顾

Analytic QCD - a short review

Gorazd Cvetic, Cristian Valenzuela

摘要:

解析形式的QCD是指耦合α_s(Q^2)在类空轴上不具有非物理朗道奇点(-q^2=Q^2 > 0)的QCD。除了类时轴(Q^2 < 0)外,在整个复平面上耦合都是解析的。这样的耦合,因此适用于微扰方法的应用程序的能量为GeV。我们提出了一个简短的审查该地区的活动开始与一个开创性的文件Shirkov和Solovtsov十年前。本文提出了几种解析QCD耦合模型。一些这些模型的优点和缺点指出。此外,对于这样的解析耦合,相应的高阶解析耦合(类似的高功率的微扰耦合)的建设概述,并挑选出的方法的基础上的重整化群的考虑。在这样的分析框架的领导扭曲的一部分,类空观测值的评价方法进行了说明。这种方法也适用于包容的类时观测量。两个分析模型的概述,尊重ITEP算子乘积展开哲学,从而允许更高的扭曲贡献的可观测值的评估。

英文摘要:

Analytic versions of QCD are those whose coupling alpha_s(Q^2) does not have the unphysical Landau singularities on the space-like axis (-q^2=Q^2 > 0). The coupling is analytic in the entire complex plane except the time-like axis (Q^2 < 0). Such couplings are thus suitable for application of perturbative methods down to energies of order GeV. We present a short review of the activity in the area which started with a seminal paper of Shirkov and Solovtsov ten years ago. Several models for analytic QCD coupling are presented. Strengths and weaknesses of some of these models are pointed out. Further, for such analytic couplings, constructions of the corresponding higher order analytic couplings (the analogs of the higher powers of the perturbative coupling) are outlined, and an approach based on the renormalization group considerations is singled out. Methods of evaluation of the leading-twist part of space-like observables in such analytic frameworks are described. Such methods are applicable also to the inclusive time-like observables. Two analytic models are outlined which respect the ITEP Operator Product Expansion philosophy, and thus allow for an evaluation of higher-twist contributions to observables.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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