For a long time, strong coupling expansions have not been applied systematically in lattice QCD thermodynamics, in view of the success of numerical Monte Carlo studies. The persistent sign problem at finite baryo-chemical potential, however, has motivated investigations using these methods, either by themselves or combined with numerical evaluations, as a route to finite density physics. This article reviews the strategies, by which a number of qualitative insights have been attained, notably the emergence of the hadron resonance gas or the identification of the onset transition to baryon matter in specific regions of the QCD parameter space. For the simpler case of Yang–Mills theory, the deconfinement transition can be determined quantitatively even in the scaling region, showing possible prospects for continuum physics.

长期以来，鉴于数值蒙特卡罗研究的成功，强耦合膨胀并未系统地应用于晶格 QCD 热力学。然而，有限重子化学势下的持久符号问题已经激发了使用这些方法的研究，无论是单独使用还是与数值评估相结合，作为通往有限密度物理学的途径。本文回顾了获得许多定性见解的策略，特别是强子共振气体的出现或在 QCD 参数空间的特定区域中识别重子物质的起始转变。对于 Yang-Mills 理论的更简单的情况，即使在标度区域也可以定量确定解除限制的转变，这显示了连续介质物理学的可能前景。