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arXiv 0705.4402hep-ph
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朗道规范中QCD顶点函数的红外行为对禁闭的启示

What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement

R. Alkofer, C. S. Fischer, F. Llanes-Estrada, K. Schwenzer

摘要:

利用Dyson-Schwinger骨架展开和重整化群方程研究了Landau规范QCD顶点函数的红外行为。给出了鬼胶子、三胶子、四胶子和夸克胶子顶点函数的计算结果。正违反胶子传播,从而胶子禁闭,证明。有限体积的戴森-Schwinger方程的结果进行了比较,相应的晶格数据。分析表明,在缀饰夸克-胶子顶点的红外奇点可以产生重夸克之间的线性上升势。产生这些奇点的自洽机制必然需要全顶点和夸克传播子的标量狄拉克振幅。只有当手征对称性被明确地或动态地破坏时,这些才能存在。

英文摘要:

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented. Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated. Results of the Dyson-Schwinger equations for a finite volume are compared to corresponding lattice data. It is analytically demonstrated that a linear rising potential between heavy quarks can be generated by infrared singularities in the dressed quark-gluon vertex. The selfconsistent mechanism that generates these singularities necessarily entails the scalar Dirac amplitudes of the full vertex and the quark propagator. These can only be present when chiral symmetry is broken, either explicitly or dynamically.

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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