We investigate the energy per particle, static structure factor, and momentum distribution of the uniform electron gas for different conditions defined by the dimensionless temperature $\mathrm{\Theta }=0.25-1.0$ and average interparticle distance $r_s=0.5-80.0$ using path-integral Monte Carlo (PIMC) simulations. For small $r_{\text{s}}$ ($r_{\text{s}}\le 10$) where the sign problem is particularly challenging, we employ a recent approach based on an analytic continuation of the partition function using a real parameter $\xi$, which allows a generalization from bosons ($\xi =1$) to fermions ($\xi =-1$). We show that the results are in good agreement with other state-of-the-art methods while requiring low computational resources. For large $r_{\text{s}}$ ($r_{\text{s}}=80$), we use direct PIMC exploiting the good behavior of the thermodynamic properties for negative $\xi$. In this framework we demonstrate that, for large $r_s$, the small negative region of $\xi$ can be utilized to extract information about the true fermionic limit, where $\xi =-1$.

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• Electrons
• Electron-correlation calculations
• Path-integral Monte Carlo