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arxiv: 1612.01723 · v2 · submitted 2016-12-06 · ✦ hep-th

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Multipoint Green's functions in 1+1 dimensional integrable quantum field theories

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classification ✦ hep-th
keywords functionsmodelcalculatedimensionalfieldgeneralgreenintegrable
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We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial intermediate states contributions. Then we apply the general results to the examples of the scaling $Z_{2}$ Ising model, sinh-Gordon model and $Z_{3}$ scaling Ising model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.

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