标题： QCD高温度下的自由能 显示英文标题

标题： Free Energy of QCD at High Temperature

摘要： 有效场论方法用于将高温下的非阿贝尔规范理论的自由能$T$分解为动量尺度$T$、$gT$和$g^2T$的贡献，其中$g$是在尺度$2 \pi T$处的耦合常数。 尺度$T$的影响通过通过维度约化得到的三维有效理论的有效拉格朗日量中的系数体现。 这些系数可以作为$g^2$的幂级数来计算。 来自尺度$gT$的自由能贡献可以通过有效理论中的微扰方法来计算。 它可以表示为从阶数$g^3$开始的$g$的展开式。 来自尺度$g^2T$的贡献必须使用非微扰方法来计算，但无论如何它可以从阶数$g^6$开始以$g$的幂次展开。 我们显式计算自由能到$g^5$阶。 我们也概述了获得自由能到$g^6$阶所需的计算。 显示英文摘要

摘要： Effective-field-theory methods are used to separate the free energy for a nonabelian gauge theory at high temperature $T$ into the contributions from the momentum scales $T$, $gT$, and $g^2T$, where $g$ is the coupling constant at the scale $2 \pi T$. The effects of the scale $T$ enter through the coefficients in the effective lagrangian for the 3-dimensional effective theory obtained by dimensional reduction. These coefficients can be calculated as power series in $g^2$. The contribution to the free energy from the scale $gT$ can be calculated using perturbative methods in the effective theory. It can be expressed as an expansion in $g$ starting at order $g^3$. The contribution from the scale $g^2T$ must be calculated using nonperturbative methods, but nevertheless it can be expanded in powers of $g$ beginning at order $g^6$. We calculate the free energy explicitly to order $g^5$. We also outline the calculations necessary to obtain the free energy to order $g^6$.