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8 - Classical Integrability: Continuum Limit of Discrete, Lattice, and Spin Systems

from Part I - General Properties of Fields; Scalars and Gauge Fields

Published online by Cambridge University Press:  04 March 2019

Horaƫiu Năstase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

We describe the notion of integrability in classical physics and the possible existence of a Lax pair. As examples of integrable systems, we describe Toda and Calogero–Moser systems and Toda field theory. Field theories are also obtained from discrete systems – for instance, spin systems. The Heisenberg model is described, and the resulting scalar field model obtained.

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Publisher: Cambridge University Press
Print publication year: 2019

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