标题： 在热QCD中夸克在空间方向的传播 显示英文标题

标题： The Propagation of Quarks in the Spatial Direction in Hot QCD

摘要： 在高温下，{\it 光}费米子在空间方向传播的动力学可以通过一个带有{\it 重型}有效质量$m_{\rm eff} = \pi T$的二维薛定谔方程来有效描述。 从QED出发，我们讨论从三维到二维正电子素的转变，详细讨论后者，包括相对论效应。 在QCD的情况下，问题类似于重夸克偶素的情况。 我们的有效势包含通常的库仑部分和束缚部分，以及一个微扰的自旋-自旋相互作用。 所得的$\bar q q$“波函数”再现了最近对于$\rho$和$\pi$通道的格点数据。 这种“束缚”的物理意义与夸克-胶子等离子体中颜色电流的非平凡磁相互作用有关。 我们的结果并不与颜色电荷的正常电相互作用被屏蔽且在通常意义上不产生束缚态的观点相矛盾。 显示英文摘要

摘要： The dynamics of {\it light} fermions propagating in a spatial direction at high temperatures can be described effectively by a two--dimensional Schr\"odinger equation with {\it heavy} effective mass $m_{\rm eff} = \pi T$. Starting from QED, we discuss the transition from three-- to two--dimensional positronium discussing the latter in detail including relativistic effects. In the case of QCD the problem is similar to that of heavy quarkonium. Our effective potential contains the usual Coulomb and confining parts as well as a perturbative spin--spin interaction. The resulting $\bar q q$ ``wave functions" reproduce recent lattice data for the $\rho$ and $\pi$ channels. The physical meaning of such `confinement' is related to the non--trivial magnetic interaction of color currents in the quark--gluon plasma. Our results do not contradict the idea that the normal electric interaction of color charges is screened and produces no bound states in the usual sense.