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 Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 591

Exact form factors for the scaling Z(N)-Ising Exact form factors for the scaling Z(N)-Ising and the affine A(N-1)-Toda quantum field theories

H. Babujian, M. Karowski

Previous results on form factors for the scaling Ising and the sinh-Gordon models are extended to general $Z_{N}$-Ising and affine $A_{N-1}$-Toda quantum field theories. In particular result for order, disorder parameters and para-fermi fields $\sigma_{Q}(x),\;\mu_{\tilde{Q}}(x)$ and $\psi_{Q}(x)$ are presented for the $Z_{N}$-model. For the $A_{N-1}$-Toda model form factors for exponentials of the Toda fields are proposed. The quantum field equation of motion is proved and the mass and wave function renormalization are calculated exactly.

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