Abstract
A long-range interacting 1/\ensuremath{\Vert}r${\ensuremath{\Vert}}^{\ensuremath{\omega}}$ true self-avoiding walk is introduced. A Flory argument gives the scaling exponent \ensuremath{\nu}=2/(\ensuremath{\omega}+2) for the end-to-end distance. For a Coulomb interaction this yields \ensuremath{\nu}=2/d, which implies that four is the upper critical dimension for growing polyelectrolytes. A Monte Carlo simulation is consistent with this conclusion.
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