  We present a field-theoretic renormalization group (RG) analysis of a dilute
solution of flexible, screened polyelectrolyte chains (Debye-Hueckel chains) in
a polar solvent. We perform a virial expansion to calculate the scaling
dependence of the Osmotic pressure on the chain density, chain size and
screening length. The formalism is developed for general chain distributions
and we give explicit forms for a monodisperse chain size distribution. We
utilize the fact that a Debye-Hueckel chain may be mapped to a local field
theory with TWO length-scales requiring the calculation of scaling functions as
well as exponents to fully describe its scaling behaviour.
