The spectrum of the transfer matrix in theC*-algebra of the Ising model at high temperatures |
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| Authors: | D E Evans J T Lewis |
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| Institution: | (1) Mathematics Institute, University of Warwick, Gibbet Hill Road, CV4 7AL Coventry, England;(2) School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland |
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| Abstract: | We investigate the state on the Fermion algebra which gives rise to the thermodynamic limit of the Gibbs ensemble in the two-dimensional Ising model on a half lattice with nearest neighbour interaction. It is shown that the operatorP
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in the GNS space, which performs the essential functions of the renormalized transfer matrix, has a quasi-particle structure. |
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