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A translation invariant N-polaron system is investigated at arbitraryelectron-phonon coupling strength, using a variational principle for pathintegrals for identical particles. An upper bound for the ground state energyis found as a function of the number of spin up and spin down polarons, takingthe electron-electron interaction and the Fermi statistics into account. Theresulting addition energies and the criteria for multipolaron formation arediscussed.Comment: 22 pages, 5 figures, 1 table, E-mail addresses:  jozef.devreese@ua.ac.be, fons.brosens@ua.ac.be, sergei.klimin@ua.ac.b

Variational path-integral treatment of a translation invariant many-polaron system