A systematic extended iterative solution for quantum chromodynamics
A systematic extended iterative solution for quantum chromodynamics
复制标题
量子色动力学的系统扩展迭代解
DOI：
10.1007/bf01285154
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
M. Stingl
中科院分区：
文献类型：
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作者：
M. Stingl
给出了欧几里得 QCD 的扩展微扰解的概要，该解系统地解释了一类非微扰效应，同时仍然允许通过微扰反项进行重正化。欧几里得真顶点 Л 由双序列 Л[r,p] 近似，其中 r 表示相对于耦合 g2 中非解析的自发质量尺度 ΛQCD 的有理近似程度，同时表示从 Л[r,0]（而不是从微扰费曼规则 Л(0)pert）作为起点计算的微扰校正 ing2 的阶数。允许非微扰项在戴森-施温格方程中重现的机制保留了微扰重正化性，并且与理论的发散结构密切相关。因此，它将 Γ[r,0] 的自洽问题严格限制为七个表面上发散的顶点，即没有解耦近似。该解决方案的一个有趣的方面是 QCD 传播器的有理函数序列包含描述短暂基本激励的子序列。该方法是计算性的，因为它允许在处理真正非扰动内容的被积数时使用已知的循环计算技术。
An outline is given of an extended perturbative solution of Euclidean QCD which systematically accounts for a class of nonperturbative effects, while still allowing renormalization by the perturbative counterterms. Euclidean proper verticesΓare approximated by a double sequenceΓ[r,p], whererdenotes the degree of rational approximation with respect to the spontaneous mass scaleΛQCD, nonanalytic in the couplingg2, whileprepresents the order of perturbative corrections ing2calculated fromΓ[r,0]-rather than from the perturbative Feynman rulesΓ(0)pert-as a starting point. The mechanism allowing the nonperturbative terms to reproduce themselves in the Dyson-Schwinger equations preserves perturbative renormalizability and is intimately tied to the divergence structure of the theory. As a result, it restricts the self-consistency problem for theΓ[r,0]rigorously — i.e. without decoupling approximations — to the seven superficially divergent vertices. An interesting aspect of the solution is that rational-function sequences for the QCD propagators contain subsequences describing short-lived elementary excitations. The method is calculational, in that it allows the known techniques of loop computation to be used while dealing with integrands of truly nonperturative content.