Dynamical mean field theory (DMFT) is used to study neutron matter, both with and without admixture of the proton fraction. The system is approximated by the lattice Hubbard model. The corresponding equation of state as a function of temperature/density/asymmetry is investigated. The results are compared with the standard mean field (MF) approach where the effect of local correlations is neglected. Whereas the influence of the correlations on the properties of a pure neutron matter is found to be moderate, it becomes strong when the proton admixture is taken into account. In particular, we calculate the proton fraction, energy density and pressure in outer core of neutron stars, taking into account the beta equilibrium condition. The DMFT predicts that the proton fraction is several times the MF based calculations, whereas the DMFT results for energy density and pressure are 30%–40% lower than the corresponding MF estimates. Physical implications of our findings for a neutron star dynamics are discussed.

动态平均场理论 (DMFT) 用于研究中子物质，无论是否混合质子部分。该系统由格子哈伯德模型近似。研究了作为温度/密度/不对称性的函数的相应状态方程。将结果与忽略局部相关性影响的标准平均场 (MF) 方法进行比较。虽然发现相关性对纯中子物质性质的影响是中等的，但当考虑到质子混合物时，它会变得很强。特别是，我们计算了中子星外核的质子分数、能量密度和压力，同时考虑了 β 平衡条件。DMFT 预测质子分数是基于 MF 计算的数倍，而能量密度和压力的 DMFT 结果比相应的 MF 估计值低 30%–40%。讨论了我们的发现对中子星动力学的物理意义。