Inhomogeneous Condensates in Planar QED
Gerald Dunne, Theodore Hall (U. Connecticut)
TL;DR
This paper investigates how inhomogeneous magnetic fields induce vacuum condensates in 2+1 dimensional QED, revealing a proportional relationship in the large flux limit that extends the degeneracy-flux relation.
Contribution
It demonstrates that vacuum condensates in planar QED are locally proportional to inhomogeneous magnetic fields, generalizing known flux relations.
Findings
Condensates are proportional to magnetic fields in large flux limit
Extension of Aharonov-Casher degeneracy-flux relation to inhomogeneous fields
Applicable to a broad class of magnetic field configurations
Abstract
We study the formation of vacuum condensates in 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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