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A multipole-expanded effective field theory for vortex ring-sound interactions
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Garcia-Saenz2018_Article_AMultipole-expandedEffectiveFi.pdf | Published version | 493.52 kB | Adobe PDF | View/Open |
Title: | A multipole-expanded effective field theory for vortex ring-sound interactions |
Authors: | Garcia-Saenz, S Mitsou, E Nicolis, A |
Item Type: | Journal Article |
Abstract: | The low-energy dynamics of a zero temperature superfluid or of the compressional modes of an ordinary fluid can be described by a simple effective theory for a scalar field — the superfluid ‘phase’. However, when vortex lines are present, to describe all interactions in a local fashion one has to switch to a magnetic-type dual two-form description, which comes with six degrees of freedom (in place of one) and an associated gauge redundancy, and is thus considerably more complicated. Here we show that, in the case of vortex rings and for bulk modes that are much longer than the typical ring size, one can perform a systematic multipole expansion of the effective action and recast it into the simpler scalar field language. In a sense, in the presence of vortex rings the non-single valuedness of the scalar can be hidden inside the rings, and thus out of the reach of the multipole expansion. As an application of our techniques, we compute by standard effective field theory methods the sound emitted by an oscillating vortex ring. |
Issue Date: | 5-Feb-2018 |
Date of Acceptance: | 31-Jan-2018 |
URI: | http://hdl.handle.net/10044/1/74013 |
DOI: | https://dx.doi.org/10.1007/JHEP02(2018)022 |
ISSN: | 1029-8479 |
Publisher: | Springer Verlag (Germany) |
Journal / Book Title: | The Journal of High Energy Physics |
Volume: | 2018 |
Issue: | 2 |
Copyright Statement: | © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Science & Technology Physical Sciences Physics, Particles & Fields Physics Effective Field Theories Duality in Gauge Field Theories Long strings Renormalization Group SUPERFLUID HE-4 DYNAMICS STRINGS Science & Technology Physical Sciences Physics, Particles & Fields Physics Effective Field Theories Duality in Gauge Field Theories Long strings Renormalization Group SUPERFLUID HE-4 DYNAMICS STRINGS 01 Mathematical Sciences 02 Physical Sciences Nuclear & Particles Physics |
Publication Status: | Published |
Article Number: | ARTN 022 |
Online Publication Date: | 2018-02-05 |
Appears in Collections: | Physics Theoretical Physics |