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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 1, Pages 56–64
DOI: https://doi.org/10.4213/tmf482 (Mi tmf482) 		 
Diffusion of Loops

T. Jonssonabc

a Nordic Institute of Theoretical Physics
b University of Iceland
c Niels Bohr Institute
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DOI: https://doi.org/10.4213/tmf482
Abstract: We study a lattice model that is closely related to the Ising model and can be regarded as describing diffusion of loops in two dimensions. The time development is given by a transfer matrix for a random surface model on a three-dimensional lattice. The transfer matrix is indexed by loops and is invariant under a group of motions in the loop space. The eigenvalues of the transfer matrix are calculated in terms of the partition function and the correlation functions of the Ising model.
English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 1, Pages 883–889
DOI: https://doi.org/10.1023/A:1010498032426
Bibliographic databases:
Language: Russian
Citation: T. Jonsson, “Diffusion of Loops”, TMF, 128:1 (2001), 56–64; Theoret. and Math. Phys., 128:1 (2001), 883–889
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 883--889
\crossref{https://doi.org/10.1023/A:1010498032426}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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