Abstract
General spin correlation functions for the Ising model are reviewed and used to study the Ising model in a field. The quantum double sine-Gordon equation results. At the critical temperature this equation leads to six bound states within the magnetic gap, one at threshold, for a total of seven. It is conjectured that the number of bound states is a universal property of critical points.
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The sine-Gordon equation with ß2=4π is plagued with divergence problems in the continuum limit. The discussion here strictly refers to the interacting fermi problem on a lattice which does not, but does have the same infrared behavior as the sine-Gordon equation.
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© 1978 Springer-Verlag Berlin Heidelberg
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Luther, A. (1978). Soliton-Bound States in the Magnetic Gap. In: Bishop, A.R., Schneider, T. (eds) Solitons and Condensed Matter Physics. Springer Series in Solid-State Sciences, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81291-0_9
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DOI: https://doi.org/10.1007/978-3-642-81291-0_9
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