标题： QCD在有限温度和重子数密度下的压强 显示英文标题

标题： The pressure of QCD at finite temperature and quark number density

摘要： 本文是博士论文引言部分的稍作修改版本，该论文还包含三篇原创文章，分别为hep-ph/0212283、hep-ph/0305183和hep-ph/0311323。 我们的目的是回顾有限温度微扰理论的历史和现状，特别是在确定夸克胶子等离子体平衡性质中的应用，尤其是QCD在有限温度和夸克化学势下的压强。 我们首先介绍有限温度场论和微扰理论的一般形式，然后依次进行压强的逐阶计算，最后通过将微扰预测与格点数据比较，分析最新的g^6ln(g)阶结果。 在附录中，我们提供了一个较为教学性的介绍，说明微扰框架中使用的主要计算技术，即在完整QCD及其三维高温有效理论中对多环真空图进行解析计算。 显示英文摘要

摘要： This paper is a slightly modified version of the introductory part of a doctoral dissertation that contained also three original articles, hep-ph/0212283, hep-ph/0305183 and hep-ph/0311323. Our purpose is to review the history and present status of finite-temperature perturbation theory as applied to the context of determining the equilibrium properties of quark-gluon plasma, most notably the pressure of QCD at finite temperatures and quark chemical potentials. We first introduce the general formalism of finite-temperature field theory and perturbation theory, then follow through the evaluation of the pressure order by order, and finally proceed to analyze the most recent, order g^6ln(g) results by comparing the perturbative predictions with lattice data. In the appendix we provide a somewhat pedagogical introduction to the most important computational techniques used in the perturbative framework, namely the analytic evaluation of multi-loop vacuum diagrams both in full QCD and in its three-dimensional high-T effective theories.