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We present an analytical expression for the static many-body local fieldfactor $G_{-}(q)$ of a homogeneous two-dimensional electron gas, whichreproduces Diffusion Monte Carlo data and embodies the exact asymptoticbehaviors at both small and large wave number $q$. This allows us to alsoprovide a closed-form expression for the spin-antisymmetric exchange andcorrelation kernel $K^{-}_{xc}(r)$ which represents a key input forspin-density functional studies of inhomogeneous electronic systems.Comment: 7 pages, 3 figuer

Analytical expressions for the spin-spin local-field factor and the spin-antisymmetric exchange-correlation kernel of a two-dimensional electron gas