Dual Gauge Theory for Two Dimensional Superfluid Turbulence
- URL: http://arxiv.org/abs/2608.12485v1
- Date: Wed, 12 Aug 2026 18:06:34 GMT
- Title: Dual Gauge Theory for Two Dimensional Superfluid Turbulence
- Abstract summary: We study superfluid turbulence using the equations of motion of the dual gauge theory.<n>We observe clustering of like-signed vortices and compute the kinetic energy flux to show that the turbulent regime exhibits an inverse energy cascade.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We describe turbulent hydrodynamics of superfluids in two spatial dimensions via the dynamics of point-like vortices coupled to an emergent 2+1 dimensional $U(1)$ gauge field. The cascade of superfluid kinetic energy is equivalently described by a cascade of dual electric field energies. We study superfluid turbulence using the equations of motion of the dual gauge theory in the presence of a drive and dissipation. In the limit that the vortices are point-like, the dual equations of motion directly yield the hydrodynamical equations of the superfluid. We obtain a turbulent cascade consistent with Kolmogorov's scaling law for two dimensional fluid turbulence. We observe clustering of like-signed vortices and compute the kinetic energy flux to show that the turbulent regime exhibits an inverse energy cascade.
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