A multipoleexpanded effective field theory for vortex ringsound interactions
The lowenergy 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 magnetictype dual twoform 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 nonsingle 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:

^{[1]}
;
^{[2]};
^{[3]}
 Sorbonne Univ., Paris (France)
 Univ. of Zurich, Zurich (Switzerland). Center for Theoretical Astrophysics and Cosmology, Inst. for Computational Science
 Columbia Univ., New York, NY (United States). Physics Dept. and Inst.for Strings, Cosmology and Astroparticle Physics
 Publication Date:
 Grant/Contract Number:
 SC0006395; FG0292ER40699; 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 10298479
 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
GarciaSaenz, Sebastian, Mitsou, Ermis, and Nicolis, Alberto. A multipoleexpanded effective field theory for vortex ringsound interactions. United States: N. p.,
Web. doi:10.1007/jhep02(2018)022.
GarciaSaenz, Sebastian, Mitsou, Ermis, & Nicolis, Alberto. A multipoleexpanded effective field theory for vortex ringsound interactions. United States. doi:10.1007/jhep02(2018)022.
GarciaSaenz, Sebastian, Mitsou, Ermis, and Nicolis, Alberto. 2018.
"A multipoleexpanded effective field theory for vortex ringsound interactions". United States.
doi:10.1007/jhep02(2018)022. https://www.osti.gov/servlets/purl/1506444.
@article{osti_1506444,
title = {A multipoleexpanded effective field theory for vortex ringsound interactions},
author = {GarciaSaenz, Sebastian and Mitsou, Ermis and Nicolis, Alberto},
abstractNote = {The lowenergy 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 magnetictype dual twoform 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 nonsingle 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}
}