Statistical Models with a Line of Defect

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, LATEX file, ISAS/EP/94/30 (Figures added, originally missed for E-mail transmission problem.)

Scientific paper

10.1016/0370-2693(94)90439-1

The factorization condition for the scattering amplitudes of an integrable model with a line of defect gives rise to a set of Reflection-Transmission equations. The solutions of these equations in the case of diagonal $S$-matrix in the bulk are only those with $S =\pm 1$. The choice $S=-1$ corresponds to the Ising model. We compute the transmission and reflection amplitudes relative to the interaction of the Majorana fermion with the defect and we discuss their relevant features.

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