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arXiv · 1206.1797

Quark Virtuality Distribution in Non-perturbative QCD Vacuum

Zhou Li-juan·Ma Wei-xing·Leonard S. Kisslinger
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Abstract

We introduce the quark virtuality distribution [$λ^{2}_{q}(x)$] as an extenson of the quark virtuality by using nonlocal rather than local quark vacuum condensates. Our results show that the quark virtuality distribution decreases gradually from a finite value to zero as $x$ increases. This clearly indicates that quarks are confined inside hadrons, whereas, as $x$ approaches zero quarks have a finite virtuality, which shows asymptotic freedom of quarks in QCD. The present predictions are important not only for studying the properties of QCD vacuum states, and non-perturbative QCD problems, but also for study of the cosmological constant problem, which we have shown should be treated using nonlocal quark vacuum condensate in the Ghost theory of QCD.

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Zhou Li-juan, Ma Wei-xing, Leonard S. Kisslinger. 2012-06-08. Quark Virtuality Distribution in Non-perturbative QCD Vacuum. https://arxiv.org/abs/1206.1797

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