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Gauge theory for topological waves in continuum fluids with odd viscosity
by Keisuke Fujii, Yuto Ashida
Submission summary
Authors (as registered SciPost users): | Keisuke Fujii |
Submission information | |
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Preprint Link: | scipost_202506_00045v1 (pdf) |
Date accepted: | Aug. 7, 2025 |
Date submitted: | June 24, 2025, 4:03 a.m. |
Submitted by: | Fujii, Keisuke |
Submitted to: | SciPost Physics Core |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approach: | Theoretical |
Abstract
We consider two-dimensional continuum fluids with odd viscosity under a chiral body force. The chiral body force makes the low-energy excitation spectrum of the fluids gapped, and the odd viscosity allows us to introduce the first Chern number of each energy band in the fluids. Employing a mapping between hydrodynamic variables and U(1) gauge-field strengths, we derive a U(1) gauge theory for topologically nontrivial waves. The resulting U(1) gauge theory is given by the Maxwell-Chern-Simons theory with an additional term associated with odd viscosity. We then solve the equations of motion for the gauge fields concretely in the presence of the boundary and find edge-mode solutions. We finally discuss the fate of bulk-boundary correspondence (BBC) in the context of continuum systems.
Author comments upon resubmission
Along with this change, we revised the last paragraph of the Introduction to explicitly highlight the novelty of our results.
We also accepted the requested changes pointed out in Report #1 and revised the relevant phrasing accordingly.
List of changes
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We significantly revised the last paragraph of the Introduction to explicitly highlight our main new result. In that paragraph, we now cite a previous work related to the mapping to a gauge theory as Ref. [45].
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"As a crucial difference from solid crystals, continuum fluids lack the spatial periodicity." → "As a crucial difference from solid crystals, continuum fluids have spatial continuous periodicity."
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"Importantly, since the system is supposed to be in an infinitely extended bulk, its wavenumber space is given as an infinitely extended space, ..." → "Importantly, since the translational period of the system is supposed to be zero, its wavenumber space is given as an infinitely extended space."
Current status:
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For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
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