Constraint-based wave vector and frequency dependent exchange-correlation kernel of the uniform electron gas

@article{Ruzsinszky2020ConstraintbasedWV,
  title={Constraint-based wave vector and frequency dependent exchange-correlation kernel of the uniform electron gas},
  author={Adrienn Ruzsinszky and Niraj K. Nepal and Jos{\'e} M. Pitarke and John P. Perdew},
  journal={Physical Review B},
  year={2020}
}
According to time-dependent density functional theory, the exact exchange-correlation kernel f$_{xc}$(n, q, $\omega$) determines not only the ground-state energy but also the excited-state energies/lifetimes and time-dependent linear density response of an electron gas of uniform density n $=$ 3/(4$\pi$r$^3_s$). Here we propose a parametrization of this function based upon the satisfaction of exact constraints. For the static ($\omega$ = 0) limit, we modify the model of Constantin and Pitarke… 
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