Choice of the uncritical manifold for dilute polymer solutions

TL;DR

This paper examines how the selection of the uncritical manifold affects renormalized perturbation theory results for dilute polymer solutions, emphasizing polydispersity corrections and the impact of higher-order calculations.

Contribution

It analyzes the dependence of perturbation theory outcomes on uncritical manifold choice and demonstrates the reduced dependence with higher-order expansions after Borel resummation.

Findings

Dependence decreases with higher-order expansions

Polydispersity corrections influence perturbation results

Borel resummation stabilizes the dependence on manifold choice

Abstract

We discuss the dependence of the results of renormalized perturbation theory for dilute polymer solutions on the choice of the uncritical manifold where the perturbation series are evaluated. Special emphasis is given to the influence of polydispersity corrections on the results of one and two loop calculations. For monodisperse solutions we establish that after a Borel resummation the dependence on the choice of the uncritical manifold decreases when higher orders of the expansion are taken into account.