Die Ursache der Power-Korrekturen bei QCD-Summenregeln. Monopol-induzierte Instabilität des fermionischen Vakuums

QCD 求和规则中功率修正的原因。

• 批准号: 5361416
• 负责人: Professor Dr. Valentin Zakharov
• 金额: --
• 依托单位: Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2002
• 资助国家: 德国
• 起止时间: 2001-12-31 至 2005-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5361416?language=en
• 关键词: Die; Ursache; der; Power; Korrekturen

Origin of the power corrections to QCD sum rules:The analysis of QCD sum rules has revealed that there exist various mass scales for the violation of asymptotic freedom in the transition region between partonic and hadronic physics. There are three basic mechanisms proposed so far: power corrections within the standard Operator Product Expansion, instanton-induced corrections, non-standard quadratic power corrections O(L2QCD/Q2). The mechanisms can be resolved only through lattice measurements of the correlation functions for various external currents. In particular, simultaneous and careful measurements in the p- and s-meson channels would be instructive.Monopole-induced instability of the fermionic vacuum:We want to look for the lattice manifestations of fermionic vacuum instabilities in the presence of magnetic monopoles. In Minkowski space the corresponding instability represents a cornerstone of the theory of the magnetic catalysis. In Euclidean space, the manifestations of the same phenomenon could be found through measurements of the spectrum of the Dirac operator and of the correlation of the quark condensate with monopoles. Comparison of the quenched approximation with the case of dynamical fermions could be crucial.

对QCD求和规则的幂次修正的起源：对QCD求和规则的分析表明，在部分子物理和强子物理之间的过渡区，存在着各种破坏渐近自由的质量标度。到目前为止，提出了三种基本机制：标准算符乘积展开中的幂次校正，瞬子诱导的校正，非标准二次幂次校正O（L2 QCD/Q2）。这些机制只能通过晶格测量各种外部电流的相关函数来解决。特别是，在p-和s-介子通道中同时进行仔细的测量将是有益的。单极引起的费米真空不稳定性：我们想寻找在磁单极存在下费米真空不稳定性的晶格表现。在闵可夫斯基空间中，相应的不稳定性是磁催化理论的基石。在欧几里德空间中，通过测量狄拉克算符的光谱和夸克凝聚与单极子的相关性，可以发现同样现象的表现。将猝灭近似与动力学费米子的情况进行比较可能是至关重要的。