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We investigate the influence of electron-electron interactions on theconductance of two-dimensional disordered spinless electrons. By using anefficient numerical method which is based on exact diagonalization in atruncated basis of Hartree-Fock states we are able to determine the exactlow-energy properties of comparatively large systems in the diffusive as wellas in the localized regimes. We find that weak interactions increase the d.c.conductance in the localized regime while they decrease the d.c. conductance inthe diffusive regime. Strong interactions always decrease the conductance. Wealso study the localization of single-particle excitations close to the Fermienergy which turns out to be only weakly influenced by the interactions.Comment: final version as publsihed, 4 pages REVTEX, 6 EPS figures include

Do Interactions Increase or Reduce the Conductance of Disordered Electrons? It Depends!