Inhomogeneous Condensates in Planar QED
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 local form of the integrated degeneracy-flux relation of Aharonov and Casher.
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