On the mathematical structure and hidden symmetries of the Born-Infeld field equations

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dc.creatorCirilo-Lombardo, Diego
dc.date2006-12-27
dc.date2007-01-20
dc.date.accessioned2026-07-07T11:44:00Z
dc.date.available2026-07-07T11:44:00Z
dc.descriptionThe mathematical structure of the Born-Infeld field equations was analyzed from the point of view of the symmetries. To this end, the field equations were written in the most compact form by means of quaternionic operators constructed according to all the symmetries of the theory, including the extension to a non-commutative structure. The quaternionic structure of the phase space was explicitly derived and described from the Hamiltonian point of view, and the analogy between the BI theory and the Maxwell (linear) electrodynamics in curved space-time was explicitly shown. Our results agree with the observation of Gibbons and Rasheed that there exists a discrete symmetry in the structure of the field equations that is unique in the case of the Born-Infeld nonlinear electrodynamics.
dc.descriptionTalk given at BLTP-JINR (Dubna-Russian Federation) in the seminar "Symmetries and Integrable Systems", Leader A.N. Sissakian. JINR-Preprint. To be published in JMP
dc.identifierhttps://arxiv.org/abs/hep-th/0612282
dc.identifierhttp://arxiv.org/abs/hep-th/0612282
dc.identifierJ.Math.Phys.48:032301,2007
dc.identifierdoi:10.1063/1.2710195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201450
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleOn the mathematical structure and hidden symmetries of the Born-Infeld field equations
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