SciPost Submission Page
Quantum vorticity: a not so effective field theory
by Gabriel Cuomo, Fanny Eustachon, Eren Firat, Brian Henning, Riccardo Rattazzi
Submission summary
| Authors (as registered SciPost users): | Gabriel Francisco Cuomo |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202511_00069v1 (pdf) |
| Date submitted: | Nov. 26, 2025, 4:24 p.m. |
| Submitted by: | Gabriel Francisco Cuomo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We provide a comprehensive picture for the formulation of the perfect fluid in the modern effective field theory formalism at both the classical and quantum level. Due to the necessity of decomposing the hydrodynamical variables $(\rho, p, u^\mu)$ into other internal degrees of freedom, the procedure is inherently not unique. We discuss and compare the different inequivalent formulations. These theories possess a peculiarity: the presence of an infinite dimensional symmetry implying a vanishing dispersion relation $\omega = 0$ for the transverse modes. This sets the stage for UV-IR mixing in the quantum theory, which we study in the different formulations focussing on the incompressible limit. We observe that the dispersion relation gets modified by quantum effects to become $\omega \propto \mathbf{k}^2$, where the fundamental excitations can be viewed as vortex-anti-vortex pairs. The spectrum exhibits infinitely many types of degenerate quanta. The unusual sensitivity to UV quantum fluctuations renders the implementation of the defining infinite symmetry somewhat subtle. However we present a lattice regularization that preserves a deformed version of such symmetry.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
We also noticed that the report from the second referee contains several statements and references that appear generic or possibly artificial. For instance, it cites a non-existent paper (“A. Smith et al., Quantized Vortex Models”) and raises questions about the $\xi$-dependence of classical solutions in $R_\xi$ gauges, but it is not clear what gauge symmetry the referee is talking about (no gauge fixing is discussed in our manuscript). For these reasons, we did not address the points raised in that report. We nevertheless considered it appropriate to bring this matter to the editor’s attention.
Anonymous on 2025-11-26 [id 6078]
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Please find in the attachment our response to the referee reports and a detailed list of changes made to the manuscript.
Attachment:
Different_Perfect_Fluid_Field_Theory_3fQtYRn.pdf