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Pion and kaon parton distributions in the QCD instanton vacuum
Physical Review D ( IF 5 ) Pub Date : 
Arthur Kock, Yizhuang Liu, Ismail Zahed

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.

中文翻译:

QCD瞬时真空中的Pion和Kaon Parton分布

我们讨论了QCD瞬时真空中n点函数的一般图解说明,该描述恢复了平面图,强制了轨距不变和自发地打破了手性对称性。对于较大但有限的动量,我们使用这些图解法则来推导在瞬时填充分数中超前的pion和kaon准部分振幅和分布函数。发现瞬时和反瞬时零模和非零模有助于准分布,但事实表明,后者在较大的动量极限中会消失。有关的pion和kaon parton分布幅度和函数在由反瞬时子集大小固定的低重归一化尺度下变得明确。假设因式分解成立,
更新日期:2020-07-09
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