Effective energy for QED in (2+1)-dimensions with semilocalized magnetic fields: A Solvable model

Cangemi, Daniel; D'Hoker, Eric; Dunne, Gerald V.

doi:10.1103/PhysRevD.52.R3163

Effective energy for QED in (2+1)-dimensions with semilocalized magnetic fields: A Solvable model

Jun, 1995

11 pages

Published in:

Phys.Rev.D 52 (1995) R3163-R3167

e-Print:

hep-th/9506085 [hep-th]

DOI:

10.1103/PhysRevD.52.R3163

Report number:

UCLA-95-TEP-21,
UCONN-95-3

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Abstract:

We evaluate the exact

{\rm 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.

quantum electrodynamics
dimension: 3
spin: 1/2
1/2: spin
spinless
magnetic field: static
energy: flux
flux: energy

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