Abstract
The Dyson equation for the particle-hole Green's function, including exchange matrix elements, has been solved exactly for the effective interaction between two electrons in a two-dimensional electron gas. The effective interaction is obtained numerically by solving the Bethe-Goldstone integral equation in a two-dimensional electron gas. The effect of short-range correlations on static and dynamic dielectric functions is studied. Results are compared with the normal random-phase approximation, local-field theories, and recent quantum Monte Carlo results. \textcopyright{} 1996 The American Physical Society.
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