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A multipole-expanded effective field theory for vortex ring-sound interactions

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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