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

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.
Authors:
ORCiD logo [1] ;  [2] ;  [3]
  1. Sorbonne Univ., Paris (France)
  2. Univ. of Zurich, Zurich (Switzerland). Center for Theoretical Astrophysics and Cosmology, Inst. for Computational Science
  3. Columbia Univ., New York, NY (United States). Physics Dept. and Inst.for Strings, Cosmology and Astroparticle Physics
Publication Date:
Grant/Contract Number:
SC0006395; FG02-92ER40699; SC0011941
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Columbia Univ., New York, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Duality in Gauge Field Theories; Long strings; Renormalization Group
OSTI Identifier:
1506444

Garcia-Saenz, Sebastian, Mitsou, Ermis, and Nicolis, Alberto. A multipole-expanded effective field theory for vortex ring-sound interactions. United States: N. p., Web. doi:10.1007/jhep02(2018)022.
Garcia-Saenz, Sebastian, Mitsou, Ermis, & Nicolis, Alberto. A multipole-expanded effective field theory for vortex ring-sound interactions. United States. doi:10.1007/jhep02(2018)022.
Garcia-Saenz, Sebastian, Mitsou, Ermis, and Nicolis, Alberto. 2018. "A multipole-expanded effective field theory for vortex ring-sound interactions". United States. doi:10.1007/jhep02(2018)022. https://www.osti.gov/servlets/purl/1506444.
@article{osti_1506444,
title = {A multipole-expanded effective field theory for vortex ring-sound interactions},
author = {Garcia-Saenz, Sebastian and Mitsou, Ermis and Nicolis, Alberto},
abstractNote = {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.},
doi = {10.1007/jhep02(2018)022},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}