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arXiv · hep-th/9907031

The spectrum of a transfer matrix for loops

Thordur Jonsson·George K. Savvidy
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Abstract

We study the spectral properties of the transfer matrix for a gonihedric random surface model on a three-dimensional lattice. The transfer matrix is indexed by generalized loops in a natural fashion and is invariant under a group of motions in loop-space. The eigenvalues of the transfer matrix can be evaluated exactly in terms of the partition function, the internal energy and the correlation functions of the two-dimensional Ising model and the corresponding eigenfunctions are explicit functions on loop-space.

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Thordur Jonsson, George K. Savvidy. 1999-07-06. The spectrum of a transfer matrix for loops. https://doi.org/10.1016/s0550-3213(00)00137-1

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