高温夸克-胶子等离子体中的超软费米子模和非对角Boltzmann方程
Ultrasoft fermion mode and off-diagonal Boltzmann equation in quark-gluon plasma at high temperature
摘要：
本文从量子色动力学（QCD）中的Kadanoff-Baym方程出发，导出了极高温下夸克超软动量激发（~ g^2 T，g：耦合常数，T：温度）的平衡态附近的广义玻尔兹曼方程（GBE），并证明了该方程与用于分析夸克传播子的图解微扰方案中导出的自洽方程是等价的.通过求解GBE，我们得到了超软动量夸克激发的色散关系、阻尼率和强度的表达式。我们还表明，GBE使我们能够获得的方程确定的n点函数包含一对夸克和（n-2）胶子外部线的动量是超软的。
英文摘要：
We derive the generalized Boltzmann equation (GBE) near equilibrium from the Kadanoff-Baym equation for quark excitation with ultrasoft momentum (~g^2T, g: coupling constant, T: temperature) in quantum chromodynamics (QCD) at extremely high T, and show that the equation is equivalent to the self-consistent equation derived in the resummed perturbation scheme used to analyze the quark propagator. We obtain the expressions of the dispersion relation, the damping rate, and the strength of a quark excitation with ultrasoft momentum by solving the GBE. We also show that the GBE enables us to obtain the equation determining the n-point function containing a pair of quarks and (n-2) gluon external lines whose momenta are ultrasoft.
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