论文标题

QCD Instanton真空中的TICH和KAON PARTON分布

Pion and Kaon parton distributions in the QCD instanton vacuum

论文作者

Kock, Arthur, Liu, Yizhuang, Zahed, Ismail

论文摘要

我们讨论了QCD Instanton真空吸尘器中N点功能的一般图解描述,该函数恢复了平面图,执行规格不变性和自发损坏的手性对称性。我们使用这些图形规则来得出触发和kaon准伴侣振幅和分布函数,并在internon填充分数中以大而有限的动量为前列顺序。发现Instanton和Anti-Instanton零模式和非零模式有助于准分布,但后者显示出在较大的动量极限下掉落。相关的亲胎和KAON PARTON分布振幅和功能是在由反Instanton尺寸固定的低重新归一化量表上显式的。假设分解成分,则用一环DGLAP演变为更高的重新归一化量表,并将其与现有数据进行比较。

We discuss a general diagrammatic description of n-point functions in the QCD instanton vacuum that resums planar diagrams, enforces gauge invariance and spontaneously broken chiral symmetry. We use these diagrammatic rules to derive the pion and kaon quasi-parton amplitude and distribution functions at leading order in the instanton packing fraction for large but finite momentum. The instanton and anti-instanton zero modes and non-zero modes are found to contribute to the quasi-distributions, but the latter are shown to drop out in the large momentum limit. The pertinent pion and kaon parton distribution amplitudes and functions are made explicit at the low renormalization scale fixed by the inverse instanton size. Assuming that factorization holds, the pion parton distributions are evolved to higher renormalization scales with one-loop DGLAP and compared to existing data.

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