English

Correlation functions and critical behaviour on fluctuating geometries

High Energy Physics - Lattice 2009-10-30 v1 Condensed Matter

Abstract

We study the two-point correlation function in the model of branched polymers and its relation to the critical behaviour of the model. We show that the correlation function has a universal scaling form in the generic phase with the only scale given by the size of the polymer. We show that the origin of the singularity of the free energy at the critical point is different from that in the standard statistical models. The transition is related to the change of the dimensionality of the system.

Keywords

Cite

@article{arxiv.hep-lat/9710070,
  title  = {Correlation functions and critical behaviour on fluctuating geometries},
  author = {P. Bialas and Z. Burda and J. Jurkiewicz},
  journal= {arXiv preprint arXiv:hep-lat/9710070},
  year   = {2009}
}

Comments

10 Pages, Latex2e, uses elsart.cls, 1 figure included

R2 v1 2026-07-22T13:22:16.970Z