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arXiv 1608.07262hep-thcond-mat.quant-gas
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暗孤子、D-膜和非对易快子场论

Dark Solitons, D-branes and Noncommutative Tachyon Field Theory

Stefano Giaccari, Jun Nian

摘要:

本文通过将(3+1)维Gross-Pitaevskii理论映射到有边界的有效弦论来讨论玻色子/涡旋对偶性。通过有效弦理论,我们找到了交换快子场论和非交换快子场论之间的Seiberg-Witten映射,从而用有效弦论中的$D$ -膜确定了它们的孤子解.我们进行各种检查的对偶映射和识别孤子解决方案。Gross-Pitaevskii理论和有效弦论之间的这种新的见解在定量水平上解释了这两个系统的相似性。

英文摘要:

In this paper we discuss the boson/vortex duality by mapping the (3+1)D Gross-Pitaevskii theory into an effective string theory in the presence of boundaries. Via the effective string theory, we find the Seiberg-Witten map between the commutative and the noncommutative tachyon field theories, and consequently identify their soliton solutions with $D$-branes in the effective string theory. We perform various checks of the duality map and the identification of soliton solutions. This new insight between the Gross-Pitaevskii theory and the effective string theory explains the similarity of these two systems at quantitative level.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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