Dark Solitons, D-branes and Noncommutative Tachyon Field Theory
High Energy Physics - Theory
2021-07-02 v3 Quantum Gases
Abstract
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 -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.
Keywords
Cite
@article{arxiv.1608.07262,
title = {Dark Solitons, D-branes and Noncommutative Tachyon Field Theory},
author = {Stefano Giaccari and Jun Nian},
journal= {arXiv preprint arXiv:1608.07262},
year = {2021}
}
Comments
36 pages, 4 figures; V2: some updates in Sec.2 and Sec.4; V3: published version, typos corrected