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arxiv: cond-mat/0412421 · v1 · submitted 2004-12-16 · ❄️ cond-mat.str-el · hep-th

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

Fabian H.L. Essler , Robert M. Konik
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classification ❄️ cond-mat.str-el hep-th
keywords modelquantumapplicationsfieldfunctionsintegrableproblemstheories
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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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  1. Finite temperature correlation functions of the sine--Gordon model

    cond-mat.stat-mech 2026-04 unverdicted novelty 7.0

    The sine-Gordon model's finite-temperature correlation functions are evaluated non-perturbatively via the Method of Random Surfaces, with an exact formula derived for N-point functions obeying a selection rule.