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Inhomogeneous Condensates in Planar QED

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abstract

We study the formation of vacuum condensates in $2+1$ dimensional QED in the presence of inhomogeneous background magnetic fields. For a large class of magnetic fields, the condensate is shown to be proportional to the inhomogeneous magnetic field, in the large flux limit. This may be viewed as a {\it local} form of the {\it integrated} degeneracy-flux relation of Aharonov and Casher.

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2026 1

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representative citing papers

QCD Vacuum in an Inhomogeneous Magnetic Field

hep-ph · 2026-08-11 · conditional · novelty 6.0

In chiral perturbation theory, the QCD vacuum responds nonlocally to an inhomogeneous magnetic field, yielding parameter-free NLO predictions for the free energy, chiral condensate, and an induced vacuum current.

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  • QCD Vacuum in an Inhomogeneous Magnetic Field hep-ph · 2026-08-11 · conditional · none · ref 14 · internal anchor

    In chiral perturbation theory, the QCD vacuum responds nonlocally to an inhomogeneous magnetic field, yielding parameter-free NLO predictions for the free energy, chiral condensate, and an induced vacuum current.