This article is cited in 2 papers

Spectrum and eigenfunctions of the transfer matrix of a two-dimensional Gaussian model

H. M. Babujian, M. G. Tetel'man


Abstract: For a Gaussian model on a two-dimensional lattice a family of commuting transfer matrices is constructed. The spectrum and eigenfunctions of a transfer matrix are found. The unitarity relation for the transfer matrix is satisfied on a finite lattice up to a numerical factor which tends to unity in the limit of an infinite lattice. The transfer matrix leads to a local Hamiltonian of a free massive scalar field.

Received: 23.03.1981

 English version: Theoretical and Mathematical Physics, 1982, 51:2, 484–489

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