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The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
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In this article we prove the global existence of solution of the classical Maxwell–Chern–Simons–Higgs equations in (2+1)-dimensional Minkowski space–time in the Lorentz gauge. We also prove that the topological solution of the Maxwell–Chern–Simons–Higgs system converges to that of Maxwell–Higgs system as the Chern–Simons constant κ goes to zero, reproducing the classical result by Moncrief [J. Math. Phys. 21, 2291 (1980)] on the global existence of the Maxwell–Klein–Gordon system in (2+1)-dimension.
Title: The global existence in the Cauchy problem of the Maxwell–Chern–Simons–Higgs system
Description:
In this article we prove the global existence of solution of the classical Maxwell–Chern–Simons–Higgs equations in (2+1)-dimensional Minkowski space–time in the Lorentz gauge.
We also prove that the topological solution of the Maxwell–Chern–Simons–Higgs system converges to that of Maxwell–Higgs system as the Chern–Simons constant κ goes to zero, reproducing the classical result by Moncrief [J.
Math.
Phys.
21, 2291 (1980)] on the global existence of the Maxwell–Klein–Gordon system in (2+1)-dimension.
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