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) which describes the propagation of loops on a lattice. The connection between 3D gonihedric system and 2D-Ising model is clearly seen.
|Number of pages||7|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1999|
Bibliographical noteFunding Information:
One of the authors (T.J.) is indebted to the National Research Center Demokritos for hospitality. This work was supported in part by the EEC Grant no. ERBFMBICT972402.