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

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

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.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2003-02, Vol.133 (1), p.151-156
1. Verfasser: Magnus, Robert J.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210500002328