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

QCD和规则的功率修正的起源：通过对QCD和规则的分析，揭示了在分子物理和强子物理之间的过渡区域存在着不同的质量尺度来破坏渐近自由。到目前为止，提出了三种基本机制：标准算子积展开中的功率修正，瞬时诱导修正，非标准二次功率修正O（L2QCD/Q2）。这些机制只能通过对各种外部电流的相关函数的晶格测量来解决。特别是，在p介子和s介子通道中同时进行仔细的测量将是有益的。费米子真空的单极子诱导不稳定性：我们想寻找在磁单极子存在下费米子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。在欧几里得空间中，通过测量狄拉克算符的谱和夸克凝聚与单极子的关联，可以发现相同现象的表现。将淬灭近似与动态费米子的情况进行比较可能是至关重要的。

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.