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

Robert J. Magnus

doi:10.1017/s0308210500002328

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

Robert J. Magnus^*

^*Corresponding author for this work

Faculty of Physical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	151-156
Number of pages	6
Journal	Royal Society of Edinburgh - Proceedings A
Volume	133
Issue number	1
DOIs	https://doi.org/10.1017/s0308210500002328
Publication status	Published - 2003

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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.",

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

Abstract

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