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Updated: Jul 17, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Equations-of-motion approach to the spin- 1/2 Ising model on the Bethe lattice
Ferdinando Mancini1, Adele Naddeo
1Dipartimento di Fisica "E. R. Caianiello"-Unitá CNISM di Salerno, Universitá degli Studi di Salerno, 84081 Baronissi (SA), Italy. mancini@sa.infn.it
Abstract:
We exactly solve the ferromagnetic spin- 1/2 Ising model on the Bethe lattice in the presence of an external magnetic field by means of the equations of motion method within the Green's function formalism. In particular, such an approach is applied to an isomorphic model of localized Fermi particles interacting via an intersite Coulomb interaction. A complete set of eigenoperators is found together with the corresponding eigenvalues. The Green's functions and the correlation functions are written in terms of a finite set of parameters to be self-consistently determined. A procedure is developed that allows us to exactly fix the unknown parameters in the case of a Bethe lattice with any coordination number z. Nonlocal correlation functions up to four points are also provided together with a study of the relevant thermodynamic quantities.
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