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Strings, vortex rings, and modes of instability

Author(s): Gubser, Steven S; Nayar, Revant; Parikh, Sarthak

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Abstract: We treat string propagation and interaction in the presence of a background Neveu-Schwarz three-form field strength, suitable for describing vortex rings in a superfluid or low-viscosity normal fluid. A circular vortex ring exhibits instabilities which have been recognized for many years, but whose precise boundaries we determine for the first time analytically in the small core limit. Two circular vortices colliding head-on exhibit stronger instabilities which cause splitting into many small vortices at late times. We provide an approximate analytic treatment of these instabilities and show that the most unstable wavelength is parametrically larger than a dynamically generated length scale which in many hydrodynamic systems is close to the cutoff. We also summarize how the string construction we discuss can be derived from the Gross-Pitaevskii Lagrangian, and also how it compares to the action for giant gravitons. (C) 2015 The Authors. Published by Elsevier B.V.
Publication Date: Mar-2015
Electronic Publication Date: 12-Jan-2015
Citation: Gubser, Steven S, Nayar, Revant, Parikh, Sarthak. (2015). Strings, vortex rings, and modes of instability. NUCLEAR PHYSICS B, 892 (156 - 180. doi:10.1016/j.nuclphysb.2015.01.005
DOI: doi:10.1016/j.nuclphysb.2015.01.005
ISSN: 0550-3213
EISSN: 1873-1562
Pages: 156 - 180
Type of Material: Journal Article
Journal/Proceeding Title: NUCLEAR PHYSICS B
Version: Final published version. This is an open access article.

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