Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System
Analysis of PDEs
2026-04-10 v1
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.
Cite
@article{arxiv.2604.07710,
title = {Quantitative Hydrodynamic Limit of the Chern--Simons--Higgs System},
author = {Jeongho Kim and Bora Moon},
journal= {arXiv preprint arXiv:2604.07710},
year = {2026}
}