A multipole-expanded effective field theory for vortex ring-sound interactions
File(s)
Author(s)
Garcia-Saenz, Sebastian
Mitsou, Ermis
Nicolis, Alberto
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.
Date Issued
2018-02
Date Acceptance
2018-01-31
Citation
The Journal of High Energy Physics, 2018, 2018 (2)
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.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000424644600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
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
Publication Status
Published
Article Number
ARTN 022
Date Publish Online
2018-02-05