由于夸克和胶子在有限尺寸强子中的禁闭,QCD中的边界面项在有限距离上
Boundary Surface Term In QCD Is At Finite Distance Due To Confinement of Quarks and Gluons Inside Finite Size Hadron
摘要:
本文证明,由于夸克和胶子被限制在强子内部,我们没有观测到强子外部的夸克和胶子,所以QCD中的边界面项是在有限距离处,即在有限尺寸强子的表面上。由于边界面在有限距离处,我们发现无论胶子场${\hat A}_μ^a(t,r)$的$r$依赖性和夸克场${\hat ψ}_i(t,r)$的$r$依赖性的形式如何,QCD中的边界面项都是非零的,其中$a=1,...,8$和$i=1,2,3$是色指数.我们表明,这是一致的事实,即集团分解属性失败QCD由于禁闭。
英文摘要:
In this paper we show that since we have not observed quarks and gluons outside the hadron due to the confinement of quarks and gluons inside the hadron, the boundary surface term in QCD is at the finite distance which is at the surface of the finite size hadron. Since the boundary surface is at the finite distance we find that the boundary surface term in QCD is non-zero irrespective of the form of the $r$ dependence of the gluon field ${\hat A}_μ^a(t,r)$ and the $r$ dependence of the quark field ${\hat ψ}_i(t,r)$ where $a=1,...,8$ and $i=1,2,3$ are the color indices. We show that this is consistent with the fact that the cluster decomposition property fails in QCD due to confinement.
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