Operator gauge symmetry in QED

DOI10.3842/SIGMA.2006.013zbMATH Open1093.81063arXivquant-ph/0602002OpenAlexW2136430814MaRDI QIDQ2495160

Siamak Khademi, Sadollah Nasiri

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Abstract: In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. Inherent nonlinearity in Maxwell's equations is obtained as a direct result due to the nonlinearity of the operator gauge transformations. The operator gauge invariant Maxwell's equations and corresponding charge conservation are obtained by defining the generalized derivatives of the first and second kinds. Conservation laws for the real and virtual charges are obtained too. The additional terms in the field strength tensor are interpreted as electric and magnetic polarization of the vacuum.

Full work available at URL: https://arxiv.org/abs/quant-ph/0602002

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zbMATH Keywords

Maxwell's equationsgauge transformationelectromagnetic fields

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic interaction; quantum electrodynamics (81V10) Electromagnetic theory (general) (78A25) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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