Loop transfer matrix and gonihedric loop diffusion

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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14 pages, Latex

Scientific paper

10.1016/S0370-2693(99)00098-2

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
$K(P_{i},P_{f})$ which describes the propagation of loops on a lattice. The
connection between 3D gonihedric system and 2D-Ising model is clearly seen.

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