Some aspects of the theory of defects of ordered media and gauge fields related to foliations

Some aspects of the theory of defects of ordered media and gauge fields related to foliations
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与叶状结构相关的有序介质和规范场缺陷理论的某些方面

DOI:
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发表时间:
1981
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影响因子:
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通讯作者:
V. Poénaru
V. Poénaru
中科院分区:
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文献类型:
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作者:
V. Poénaru

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当平移对称在基态破缺时,有序介质缺陷的同伦理论必须补充来自叶理理论的可积性条件。这些显示了一些同伦类如何分裂成几个不同的缺陷,而其他同伦类并没有物理发生。这个框架也可以用来讨论规范场的缺陷,其中在第一近似中,分类空间扮演着内部态流形的角色。
When translational symmetry is broken in the ground state, the homotopy theory of defects of ordered media has to be supplemented with integrability conditions, coming from the theory of foliations. These show how some homotopy classes split into several distinct defects, while other homotopy classes do not occur physically. This framework can also be used in order to discuss defects of gauge fields, where in a first approximation classifying spaces play the role of the manifolds of internal states.