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arXiv 1410.0271hep-thhep-ph
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量子色动力学中的夸克-夸克力

Quark-Quark Forces in Quantum Chromodynamics

A. A. Arkhipov

备注：
58 pages, 4 figures, This article is the contribution to the ICHEP94. It was not published anywhere before. According to XX Jubilee of the ICHEP94 I decided to share that article without any changes on the pages of appreciative arXiv.org server. Hope, the contents of the manuscript, including technical details, would be useful for active readers
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摘要：

本文利用Bethe-Salpeter形式的单次约化技术，在单胶子交换近似下，得到了QCD中夸克-夸克相互作用准势的解析表达式。研究了胶子格林函数的红外奇异性对QCD中夸克-夸克力性质的影响。给出了量子色动力学中两夸克相互作用准势的渐近自由性的表现形式。在QFT中，用单次约化技术对夸克相互作用问题进行一致的相对论性考虑，可以建立两夸克相互作用准势的非平凡能量依赖性。由于相互作用准势的能量依赖性，在从离散谱（结合能的负值区域）到连续谱（结合能的正值区域）的过渡过程中，力的性质发生了质的变化：相互作用准势在离散谱中的平滑行为变成了在连续谱中的振荡。这一结果给出了一个直观的物理图像，其中的振荡可以解释为一个真空的准对称结构的表现。

英文摘要：

By single-time reduction technique of Bethe-Salpeter formalism for two-fermion systems analytical expressions for the quasipotential of quark-quark interactions in QCD have been obtained in one-gluon exchange approximation. The influence of infrared singularities of gluon Green`s functions on the character of quark-quark forces in QCD has been investigated. The way the asymptotic freedom manifests itself in terms of two-quark interaction quasipotential in quantum chromodynamics is shown. Consistent relativistic consideration of quark interaction problem by single-time reduction technique in QFT allows one to establish a nontrivial energy dependence of the two-quark interaction quasipotential. As a result of the energy dependence of the interaction quasipotential, the character of the forces changes qualitatively during the transition from the discrete spectrum (the region of the negative values of the binding energy) to the continuous spectrum (that of the positive values of the binding energy): the smooth behaviour of the interaction quasipotential in the discrete spectrum goes into the oscillation in the continuous spectrum. This result gives a visual physical picture where the oscillations may be interpreted as a manifestation of a quasicrystall structure of the vacuum.

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