Invariance of interaction terms in new representation of self-dual electrodynamics

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dc.creatorZupnik, B. M.
dc.date2002-11-11
dc.date.accessioned2026-07-07T04:14:28Z
dc.date.available2026-07-07T04:14:28Z
dc.descriptionA new representation of Lagrangians of 4D nonlinear electrodynamics is considered. In this new formulation, in parallel with the standard Maxwell field strength F, an auxiliary bispinor (tensor) field V is introduced. The gauge field strength appears only in bilinear terms of the full Lagrangian, while the interaction Lagrangian E depends on the auxiliary fields, E = E(V). Two types of self-duality inherent in the nonlinear electrodynamics models admit a simple characterization in terms of the function E. The continuous SO(2) duality symmetry between nonlinear equations of motion and Bianchi identities amounts to requiring E to be a function of the SO(2) invariant quartic combination |V|^4. The discrete self-duality (or self-duality under Legendre transformation) amounts to a weaker condition E(V)= E(iV). This approach can be generalized to a system of n Abelian gauge fields exhibiting U(n) duality. The corresponding interaction Lagrangian should be U(n) invariant function of n bispinor auxiliary fields.
dc.descriptionLatex file, 8 pages, submitted to Proceedings of III international Sakharov conference on physics (Moscow, June 24-29, 2002)
dc.identifierhttps://arxiv.org/abs/hep-th/0211083
dc.identifierhttp://arxiv.org/abs/hep-th/0211083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51633
dc.subjectHigh Energy Physics - Theory
dc.titleInvariance of interaction terms in new representation of self-dual electrodynamics
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