Abstract
We review the resolvent technique for computing the effective action in planar QED. For static magnetic backgrounds the effective action yields (minus) the effective energy of the fermions, while for electric backgrounds the imaginary part of the effective action gives (half) the probability of fermion-antifermion pair creation. For some special “solitonic” background profiles, these effective actions can be computed exactly.
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Dunne, G. (2000). Planar QED in Magnetic or Electric Solitonic Backgrounds. In: MacKenzie, R., Paranjape, M.B., Zakrzewski, W.J. (eds) Solitons. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1254-6_4
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DOI: https://doi.org/10.1007/978-1-4612-1254-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7063-8
Online ISBN: 978-1-4612-1254-6
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