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Charge condensation in QED3 with a Chern-Simons term

1995/08/23 by Taichi Itoh, Toshiro Sato · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #cond-mat #hep-ph #hep-th

paper · pdf · doi:10.1016/0370-2693(95)01445-4

published as Phys.Lett. B367 (1996) 290-298 · 13 pages, phyzzx, 2 figures

arxiv created 1995/08/23 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Introducing a chemical potential in the functional method, we construct the effective action of QED3 with a Chern-Simons term. We examine a possibility that charge condensation ⟨ψ^†ψ⟩ remains nonzero at the limit of the zero chemical potential. If it happens, spontaneous magnetization occurs due to the Gauss' law constraint which connects the charge condensation to the background magnetic field. It is found that the stable vacuum with nonzero charge condensation is realized only when fermion masses are sent to zero, keeping it lower than the chemical potential. This result suggests that the spontaneous magnetization is closely related to the fermion mass.

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