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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 013, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.013 (Mi sigma41) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Operator Gauge Symmetry in QED

Siamak Khademia, Sadollah Nasiriba

a Department of Physics, Zanjan University, P.O. Box 313, Zanjan, Iran
b Institute for Advanced Studies in Basic Sciences, IASBS, Zanjan, Iran
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DOI: https://doi.org/10.3842/SIGMA.2006.013
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.
Keywords: gauge transformation; Maxwell's equations; electromagnetic fields.
Received: October 9, 2005; in final form January 17, 2006; Published online January 30, 2006
Bibliographic databases:
Document Type: Article
MSC: 81V80; 78A25
Language: English
Citation: Siamak Khademi, Sadollah Nasiri, “Operator Gauge Symmetry in QED”, SIGMA, 2 (2006), 013, 7 pp.
Citation in format AMSBIB
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\by Siamak Khademi, Sadollah Nasiri
\paper Operator Gauge Symmetry in QED
\jour SIGMA
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\vol 2
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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