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A singular perturbation problem and the existence of non-commutative non-rotationally symmetric scalar solitons

Published online by Cambridge University Press:  12 July 2007

Robert J. Magnus
Robert J. Magnus
Affiliation:
Mathematics Division, University Science Institute, Dunhaga 3, 107-Reykjavik, Iceland ([email protected])
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Abstract

The existence of solitons in non-commutative scalar field theories is proved for large values of the non-commutativity parameter using functional analysis. In the case of even phase-space dimensions greater than or equal to four, the solitons include some that are not rotationally symmetric.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 1 , February 2003 , pp. 151 - 156
Copyright
Copyright © Royal Society of Edinburgh 2003

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