论文标题
Nlo Quark自能量和分散关系使用硬热环重新调整
NLO quark self-energy and dispersion relation using the hard thermal loop resummation
论文作者
论文摘要
我们使用实时形式主义的硬热环（HTL）重新召集，我们研究了近代领先顺序（NLO）夸克自我能源和相应的NLO分散法。在NLO中，我们用通常的夸克自能量图中的HTL有效效果替换了所有繁殖者和顶点。此外，四点顶点图还有助于夸克NLO自能力。我们分别计算了通常的夸克自能量图和四点顶点图。使用这些，我们以三点和四点HTL有效的顶点函数来表达NLO Quark自能源。使用Feynman参数化，我们表达了包含三点和四点HTL有效顶点函数的积分。完成实体角积分后，我们通过数值计算NLO Quark自能量的动量积分，并将它们绘制为动量和能量之比的函数。使用NLO Quark自能力，我们将NLO校正绘制为分散定律。
Using the hard-thermal-loop (HTL) resummation in real-time formalism, we study the next-to-leading order (NLO) quark self-energy and corresponding NLO dispersion laws. In NLO, we have replaced all the propagators and vertices with the HTL-effective ones in the usual quark self-energy diagram. Additionally, a four-point vertex diagram also contributes to the quark NLO self-energy. We calculate the usual quark self-energy diagram and the four-point vertex diagram separately. Using those, we express the NLO quark self-energy in terms of the three- and four-point HTL-effective vertex functions. Using the Feynman parametrization, we express the integrals containing the three- and four-point HTL effective vertex functions in terms of the solid angles. After completing the solid angle integrals, we numerically calculate the momentum integrals in the NLO quark self-energy and plot them as a function of the ratio of momentum and energy. Using the NLO quark self-energy, we plot the NLO correction to dispersion laws.
