Title: QCD Equation of State with $N_f=3$ Flavors up to the Electroweak Scale Show Chinese title

Title: 具有 $N_f=3$ 种味道的QCD状态方程直到电弱标度

Abstract: The equation of state of Quantum Chromodynamics with $N_f=3$ flavors 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 behavior 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 parametrization which describes well our data together with those present in the literature down to $500$ MeV. Show Chinese abstract

Abstract: 具有 $N_f=3$ 种味道的量子色动力学的状态方程在温度范围 $3$ 到 $165$ GeV 内以大约 $0.5$-$1.0$% 的精度非微扰地确定。 计算通过在紧凑方向采用Wilson离散化且带有移位边界条件的格点规范场理论的数值模拟完成。 在每个给定温度下，在多个格点间距上计算熵密度，以便将结果外推到连续极限。 从表面上看，数据点直接指向Stefan-Boltzmann值，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。