平面凝聚涡引起的Casimir力
Casimir force due to condensed vortices in a plane
摘要：
确定了平面内凝聚涡理论中平行线间的Casimir力。我们利用了陈-西蒙斯-希格斯模型与其对偶形式之间的关系，即用对偶规范场和旋涡场来表示。对偶模型可以有一个阶段的凝聚涡，在这个阶段，有一个映射到一个模型的两个非相互作用的大质量标量场，卡西米尔力可以很容易地获得。讨论了映射的标量场所需边界条件的选择及其与矢量场边界条件的关系。我们还简要地讨论了我们的研究结果的影响有关的Casimir效应的实验时，涡可以存在。
英文摘要：
The Casimir force between parallel lines in a theory describing condensed vortices in a plane is determined. We make use of the relation between a Chern-Simons-Higgs model and its dualized version, which is expressed in terms of a dual gauge field and a vortex field. The dual model can have a phase of condensed vortices and, in this phase, there is a mapping to a model of two non-interacting massive scalar fields from which the Casimir force can readily be obtained. The choice of boundary conditions required for the mapped scalar fields and their association with those for the vectorial field and the issues involved are discussed. We also briefly discuss the implications of our results for experiments related to the Casimir effect when vortices can be present.
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