O(3)^N非线性西格玛模型中的环面孤子解
Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model
摘要:
研究了(3+1)Minkowski时空中的N个三分量单位标量场。选择它们之间的高度非线性耦合来忽略标度不稳定性。得到了任意Hopf数的多孤子静态位形,并得到了Vakulenko-Kapitansky不等式的推广形式。讨论了吸引、排斥和非相互作用通道的可能性。
英文摘要:
A set of N three component unit scalar fields in (3+1) Minkowski space-time is investigated. The highly nonlinear coupling between them is chosen to omit the scaling instabilities. The multi-soliton static configurations with arbitrary Hopf numbers are found. Moreover, the generalized version of the Vakulenko-Kapitansky inequality is obtained. The possibility of attractive, repulsing and noninteracting channels is discussed.
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