Applications of Quantum Integrable Systems

Olalla A. Castro-alvaredo, Andreas Fring · 2003

Introduction In the context of conformal and massive integrable quantum eld theories an impressive amount of non-perturbative techniques has been developed during the last 25 years. Needless to say that the contributions of the Landau school has always been vital for that progress. The original motivation for considering such theories was to use the lower dimensional set up as a testing ground for general conceptual ideas and possibly to apply them in the context of string theory. As a consequence, most of the work in this area is often of a rather formal mathematical nature and lacks a link to direct physical application. So far this has not been a major issue, but lately the experimental techniques have advanced to such an extent that one can realistically hope to measure various physical quantities which can be predicted based on the developed approaches. Here we want to present two examples of such quantities. The rst is concerned with the prediction of harmonic spectra when a

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