Scalar solitons on the fuzzy sphere

被引：0
作者：
Austing, P [1 ]
Jonsson, T [1 ]
Thorlacius, L [1 ]
机构：
[1] Univ Iceland, Inst Sci, IS-107 Reykjavik, Iceland
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2002年 / 10期
关键词：
solitons monopoles and instantons; non-commutative geometry;
D O I：
暂无
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We study scalar solitons on the fuzzy sphere at arbitrary radius and noncommutativity. We prove that no solitons exist if the radius is below a certain value. Solitons do exist for radii above a critical value which depends on the noncommutativity parameter. We construct a family of soliton solutions which are stable and which converge to solitons on the Moyal plane in an appropriate limit. These solutions are rotationally symmetric about an axis and have no allowed deformations. Solitons that describe multiple lumps on the fuzzy sphere can also be constructed but they are not stable.
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页数：25
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