English

Loop transfer matrix and gonihedric loop diffusion

Statistical Mechanics 2008-11-26 v1 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We study a class of statistical systems which simulate 3D gonihedric system on euclidean lattice. We have found the exact partition function of the 3D-model and the corresponding critical indices analysing the transfer matrix K(Pi,Pf)K(P_{i},P_{f}) which describes the propagation of loops on a lattice. The connection between 3D gonihedric system and 2D-Ising model is clearly seen.

Cite

@article{arxiv.cond-mat/9806041,
  title  = {Loop transfer matrix and gonihedric loop diffusion},
  author = {T. Jonsson and G. K. Savvidy},
  journal= {arXiv preprint arXiv:cond-mat/9806041},
  year   = {2008}
}

Comments

14 pages, Latex