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arXiv 1003.5099hep-ph
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二维QCD中规范不变夸克格林函数的谱性质

Spectral properties of the gauge invariant quark Green's function in two-dimensional QCD

H. Sazdjian

摘要:

在大Nc极限下,利用精确的积分微分方程研究了二维QCD中具有沿直线的路径有序相因子的规范不变夸克格林函数。它的光谱函数解析确定。它们是红外有限的,位于动量平方变量复平面的正实轴上,对应于前向光锥中的动量。它们的奇点由无穷多个阈值型分支点表示,具有幂律-3/2,从正质量值开始,由整数n表征,并随n增加。给出了所有动量的格林函数的解析表达式。强阈值奇异性的出现暗示了夸克不能作为渐近态被观察到的事实。

英文摘要:

The gauge invariant quark Green's function with a path-ordered phase factor along a straight-line is studied in two-dimensional QCD in the large-Nc limit by means of an exact integrodifferential equation. Its spectral functions are analytically determined. They are infra-red finite and lie on the positive real axis of the complex plane of the momentum squared variable, corresponding to momenta in the forward light cone. Their singularities are represented by an infinite number of threshold type branch points with power-law -3/2, starting at positive mass values, characterized by an integer number n and increasing with n. The analytic expression of the Green's function for all momenta is presented. The appearance of strong threshold singularities is suggestive of the fact that quarks could not be observed as asymptotic states.

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