Loop transfer matrix and gonihedric loop diffusion

T. Jonsson; G. K. Savvidy

doi:10.1016/S0370-2693(99)00098-2

Loop transfer matrix and gonihedric loop diffusion

T. Jonsson^*, G. K. Savvidy

^*Corresponding author for this work

Faculty of Physical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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(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.

Original language	English
Pages (from-to)	253-259
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	449
Issue number	3-4
DOIs	https://doi.org/10.1016/S0370-2693(99)00098-2
Publication status	Published - 1999

Bibliographical note

Funding 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.

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10.1016/S0370-2693(99)00098-2

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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) which describes the propagation of loops on a lattice. The connection between 3D gonihedric system and 2D-Ising model is clearly seen.",

author = "T. Jonsson and Savvidy, {G. K.}",

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AU - Savvidy, G. K.

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N2 - 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.

AB - 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.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -

Loop transfer matrix and gonihedric loop diffusion

Abstract

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