On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics

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dc.creatorDonev, Stoil
dc.creatorTashkova, Maria
dc.date2002-04-25
dc.date.accessioned2026-07-07T04:13:26Z
dc.date.available2026-07-07T04:13:26Z
dc.descriptionIn this paper, in the frame of Extended Electrodynamics (EED), we study some of the consequences that can be obtained from the introduced and used by Maxwell equations complex structure \mathcal{J} in the space of 2-forms on \mathbb{R}^4, and also used in EED. First we give the vacuum EED equations with some comments. Then we recall some facts about the invariance group $G$ (with Lie algebra \mathcal{G}) of the standard complex structure $J$ in \mathbb{R}^2. After defining and briefly studying a representation of $G$ in the space of 2-forms on \mathbb{R}^4 and the joint action of $G$ in the space of \mathcal{G}-valued 2-forms on \mathbb{R}^4 we consider its connection with the vacuum solutions of EED. Finally we consider the case with point dependent group parameters and show that the set of the nonlinear vacuum EED solutions is a disjoint union of orbits of the $G$-action, noting some similarities with the quantim mechanical eigen picture and with the QFT creation and anihilation operators.
dc.descriptionLaTeX2e, 7 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0204217
dc.identifierhttp://arxiv.org/abs/hep-th/0204217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51257
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleOn the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics
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