Title: The QCD Equation of State with $N_f=3$ flavours up to the electro-weak scale Show Chinese title

Title: 具有 $N_f=3$ 种味的QCD状态方程直到电弱标度

Abstract: The Equation of State of Quantum Chromodynamics with $N_f=3$ flavours is determined non-perturbatively in the range of temperatures between $3$ and $165$ GeV with a precision of about $0.5$-$1.0\%$. The calculation is carried out by numerical simulations of lattice gauge theory discretized \`a la Wilson with shifted boundary conditions in the compact direction. At each given temperature the entropy density is computed at several lattice spacings in order to extrapolate the results to the continuum limit. Taken at face value, data point straight to the Stefan-Boltzmann value by following a linear behaviour in the strong coupling constant squared. They are also compatible with the known perturbative formula supplemented by higher order terms in the coupling constant, a parameterization which describes well our data together with those present in the literature down to $500$ MeV. Show Chinese abstract

Abstract: 具有 $N_f=3$ 种味的量子色动力学的状态方程在温度范围 $3$ 到 $165$ GeV 内以约 $0.5$ 至 $1.0\%$ 的精度被非微扰地确定。 计算通过威尔逊离散化的格点规范理论的数值模拟完成，在紧致方向上使用移位边界条件。 在每个给定温度下，熵密度在多个格点间距处计算，以便外推到连续极限。 从表面上看，数据点直线逼近斯特藩-玻尔兹曼值，并遵循强耦合常数平方的线性行为。 它们还与已知的摄动公式一致，该公式补充了耦合常数的高阶项，这种参数化很好地描述了我们的数据以及文献中的数据，直至 $500$ MeV。