I will review the state of the art of the equation of state for strongly interacting matter from first principles. I will discuss results at zero and finite chemical potential. For the latter, I will focus on Taylor expansion, analytical continuation from imaginary chemical potential, and a novel expansion scheme that was recently introduced, and that allowed a substantial extension of the coverage in baryonic chemical potential. I will also introduce a few lattice-based approaches, used to study the thermodynamics in the vicinity of the critical point.

中文翻译：

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来自晶格模拟的 QCD 状态方程

我将从第一性原理回顾强相互作用物质的状态方程的最新技术。我将讨论零化学势和有限化学势的结果。对于后者，我将重点关注泰勒展开、虚化学势的分析延续，以及最近引入的一种新的展开方案，它允许大幅扩展重子化学势的覆盖范围。我还将介绍一些基于晶格的方法，用于研究临界点附近的热力学。