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北美退伍军人节(Veterans Day),12 日无更新
arXiv 2009.05787hep-thmath-phmath.MP
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不可压缩拓扑孤子

Incompressible topological solitons

C. Adam, C. Naya, K. Oles, T. Romanczukiewicz, J. Sanchez-Guillen, A. Wereszczynski

摘要:

我们发现了一类新的拓扑孤子。这些孤子可以存在于无限体积的空间中,例如,$\mathbb{R}^n$,但它们不能被放置在任何有限体积中,因为所得到的形式解具有无穷大的能量。因此,这些对象被解释为完全不可压缩的孤子。作为第一个特殊的例子,我们考虑(1+1)维扭结理论与非标准的动力学项,或等价地,在模型与所谓的失控(或vacummless)潜力。但不可压缩孤子也存在于更高的维度。作为(3+1)维中的具体例子,我们研究了最小和BPS Skyrme模型的电介质扩展中的Skyrmions。在后一种情况下,skyrmionic物质描述了一种完全不可压缩的拓扑完美流体。

英文摘要:

We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., $\mathbb{R}^n$, but they cannot be placed in any finite volume, because the resulting formal solutions have infinite energy. These objects are, therefore, interpreted as totally incompressible solitons. As a first, particular example we consider (1+1) dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacummless) potentials. But incompressible solitons exist also in higher dimensions. As specific examples in (3+1) dimensions we study Skyrmions in the dielectric extensions both of the minimal and the BPS Skyrme models. In the the latter case, the skyrmionic matter describes a completely incompressible topological perfect fluid.

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