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arXiv · 2604.07710

Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System

Jeongho Kim·Bora Moon
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Abstract

We study the hydrodynamic limit of the Chern--Simons--Higgs system, a relativistic gauge field model involving the Chern--Simons interaction. We introduce a single scaling parameter capturing both the non-relativistic (infinite speed of light) and semi-classical (vanishing Planck constant) regimes. This unified scaling allows us to justify the simultaneous non-relativistic and semi-classical limit, while retaining the nontrivial influence of the Chern--Simons gauge structure. Using a modulated energy method, we establish quantitative convergence rates toward the corresponding compressible Euler--Chern--Simons system as the scaling parameter tends to zero.

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Jeongho Kim, Bora Moon. 2026-04-09. Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System. https://arxiv.org/abs/2604.07710

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