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arXiv 0903.3879hep-phhep-thnucl-th
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弦碎裂产生粒子的Wigner函数

The Wigner Function of Produced Particles in String Fragmentation

Cheuk-Yin Wong

摘要:

我们证明了具有横向禁闭的QCD 4可以近似紧化为具有横向夸克质量$m_{{}_T}$的QCD 2,该质量通过求解一组耦合的横向本征值方程得到。在一个强耦合和大量的口味的限制,QCD 2进一步承认Schwinger QED 2型玻色化的解决方案。因此,我们通过研究Schwinger QED 2中产生的玻色子的Wigner函数,从唯象上研究弦碎裂中产生的粒子的时空动力学,它模仿了量子色动力学中弦碎裂的许多特征。我们发现,粒子的动量在不同地区的快度平台产生的初始时刻的弦碎裂的夸克拉远离反夸克在高能量,在纵向空间-动量-时间有序的弦碎裂的经典图片。

英文摘要:

We show that QCD4 with transverse confinement can be approximately compactified into QCD2 with a transverse quark mass $m_{{}_T}$ that is obtained by solving a set of coupled transverse eigenvalue equations. In the limits of a strong coupling and a large number of flavors, QCD2 further admits Schwinger QED2-type bosonized solutions. We therefore examine phenomenologically the space-time dynamics of produced particles in string fragmentation by studying the Wigner function of produced bosons in Schwinger QED2, which mimics many features of string fragmentation in quantum chromodynamics. We find that particles with momenta in different regions of the rapidity plateau are produced at the initial moment of string fragmentation as a quark pulls away from an antiquark at high energies, in contrast to classical pictures of string fragmentation with longitudinal space-momentum-time ordering.

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