2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198188We 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 $K(P_{i},P_{f})$ which describes the propagation of loops on a lattice. The connection between 3D gonihedric system and 2D-Ising model is clearly seen.14 pages, LatexStatistical MechanicsHigh Energy Physics - LatticeHigh Energy Physics - Theorytext