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

Abstract

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.

33 pages, 8 figures, minor corrections

References in corpus (3)

• Inelastic Light Scattering From Correlated Electrons
• Electronic Raman scattering in correlated materials: exact treatment of nonresonant, mixed, and resonant scattering with dynamical mean field theory
• Probing Strong Correlations with Light Scattering: the Example of the Quantum Ising model

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• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Inelastic decay from integrability
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