扭结、涡旋和单极的Twinlike模型
Twinlike Models for Kinks, Vortices and Monopoles
摘要:
这项工作涉及孪生模型,支持拓扑结构,如扭结,旋涡和单极。我们调查的运动方程和开发的一阶框架,以显示如何建立不同的模型具有相同的解决方案和能量密度,需要使他们孪生模型。我们还研究了如何在小波动下的稳定性行为,并介绍了条件,以获得相同的稳定性在一般的理由。特别是,我们研究模型,支持扭结,漩涡和单极在一个,两个和三个空间维度,分别。
英文摘要:
This work deals with twinlike models that support topological structures such as kinks, vortices and monopoles. We investigate the equations of motion and develop the first order framework to show how to build distinct models with the same solution and energy density, as required to make them twinlike models. We also investigate how the stability under small fluctuations behaves and introduce the conditions to get the same stability on general grounds. In particular, we study models that support kinks, vortices and monopoles in one, two, and three spatial dimensions, respectively.
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