Applications of Massive Integrable Quantum Field Theories to Problems in Condensed Matter Physics

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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150 pages, 35 figures, published in the I. Kogan Memorial Volume by World Scientific

Scientific paper

We review applications of the sine-Gordon model, the O(3) non-linear sigma model, the U(1) Thirring model, and the O(N) Gross--Neveu model to quasi one-dimensional quantum magnets, Mott insulators, and carbon nanotubes. We focus upon the determination of dynamical response functions for these problems. These quantities are computed by means of form factor expansions of quantum correlation functions in integrable quantum field theories. This approach is reviewed here in some detail.

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