Abstract
We calculate the multipoint Green's 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 Z2 Ising model, sinh-Gordon model and Z3 scaling Potts model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.
Highlights
A complete set of dynamical correlation functions contains the entire information about a given system
The results can be applied to physical phenomena as for example to Raman scattering and nonlinear susceptibility [8]
In this paper we develop a technique to calculate multipoint Wightman or Green functions in integrable quantum field theories in 1+1 dimension
Summary
A complete set of dynamical correlation functions contains the entire information about a given system. There are exceptions and there are several experimental techniques such as resonance Raman and resonance X-ray scattering which measure four-point functions or even something more complicated [1, 2, 3, 4]. These higher order correlation functions carry information about the nonlinear dynamics which is especially important and interesting in strongly correlated models. It is an interesting theoretical problem since such models usually require some special nonperturbative approaches. As will be demonstrated in this paper, it is possible to calculate them by using the results for
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