Relation between a Screened Polyelectrolyte and a Field Theory
Abstract
There exists a generic relationship between the thermodynamics of a continuous polymer with a generic selfinteraction and the twopoint function of an interacting fieldtheory. In addition, the (2N)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 quantummechanical particle, selfinteracting 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 fieldtheoretical twopoint function, for which established computational methods exist.
 Publication:

arXiv eprints
 Pub Date:
 August 1996
 arXiv:
 arXiv:chemph/9608004
 Bibcode:
 1996chem.ph...8004S
 Keywords:

 Physics  Chemical Physics;
 Condensed Matter;
 Condensed Matter  Materials Science;
 High Energy Physics  Lattice
 EPrint:
 Important references added, and corresponding changes done. LaTeX file (using REVTeX), and two PostScript figures included with psfig