Effective Energy for QED${}_{2+1}$ with Semi-Localized Static Magnetic Fields: A Solvable Model

Abstract

We evaluate the exact ${\mathrm{QED}}_{2+1}$ effective energy for charged spin zero and spin half fields in the presence of a family of static magnetic field profiles localized in a strip of width $\lambda$. The exact result yields an infinite set of relations between the terms in the derivative expansion of the effective energy for a general magnetic field. Upon addition of the standard Maxwell magneto-static energy, the minimum energy configuration at fixed flux corresponds to a uniform magnetic field.

11 pages, no figure, RevTeX

References in corpus (3)

• Supersymmetry and Quantum Mechanics
• THERMAL EFFECTS ON THE CATALYSIS BY A MAGNETIC FIELD
• Magnetization in 2+1 dimensional QED at Finite Temperature and Density

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