English

Painleve III and 2D Polymers

High Energy Physics - Theory 2009-10-28 v1 Exactly Solvable and Integrable Systems solv-int

Abstract

Recently the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was related to the Painleve III transcendent. Using the perturbation theory, the thermidynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.

Keywords

Cite

@article{arxiv.hep-th/9409108,
  title  = {Painleve III and 2D Polymers},
  author = {Al. Zamolodchikov},
  journal= {arXiv preprint arXiv:hep-th/9409108},
  year   = {2009}
}

Comments

34 pages

R2 v1 2026-07-22T15:51:36.128Z