Bo Söderberg Relation between a Screened Polyelectrolyte and a
Field TheoryAbstract:There exists a generic relationship between the thermodynamics of a continuous polymer with a generic self-interaction and the two-point function of an interacting field-theory. In addition, the (2 N)-point function of
the resulting field theory is similarly related to a system
of N interacting polymers. In the present paper, this
relation is explored for the special case of a
polyelectrolyte, characterized by a screened Coulomb pair
potential. The corresponding field theory can be recast in a
particularly simple form, corresponding to a
quantum-mechanical particle, self-interacting via the
emission and absorption of a massive scalar field. This is
particularly useful in a perturbative treatment: perturbative
expansions for the polyelectrolyte can be simply derived from
the loop expansion for the related field-theoretical
two-point function, for which established computational
methods exist.LU TP 96-22 |