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Classical Solutions in Gauge Theories — Spherically Symmetric Monopoles — Lax Pairs and Toda Lattices

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Current Topics in Elementary Particle Physics

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 70))

Abstract

The composite title deserves an explanation. I gave two lectures under the general title of “classical solutions in gauge theories”. Much of the material was introductory in nature and has been used in lectures to other audiences and has already been published(1,2,3,4,5), and therefore I propose to summarize it rather than repeat the details in print. The last quarter was devoted to the subject “Spherically symmetric monopoles — Lax Pairs- and Toda Lattices”. This topic has developed recently and brings together ideas from different branches of theoretical physics and mathematics. I feel it is an extremely important development, so far rather inaccessible, and I want to try to make it available to the wider audience it deserves by treating it at some length.

Lecture given at the International Summer Institute on Theoretical Physics, September 1980, organized by Wuppertal University at Bad Honnef, Bonn.

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Authors and Affiliations

  1. Blackett Laboratory, Imperial College, London, SW7 2BZ, UK

    David Olive

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  1. David Olive
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  1. Gesamthochschule Wuppertal, Wuppertal, Federal Republic of Germany

    K. H. Mütter  & K. Schilling  & 

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© 1981 Plenum Press, New York

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Olive, D. (1981). Classical Solutions in Gauge Theories — Spherically Symmetric Monopoles — Lax Pairs and Toda Lattices. In: Mütter, K.H., Schilling, K. (eds) Current Topics in Elementary Particle Physics. NATO Advanced Study Institutes Series, vol 70. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8279-9_13

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  • DOI: https://doi.org/10.1007/978-1-4684-8279-9_13

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