2003/03/21 by E. A. Ivanov, Евгений Алексеевич Иванов, Б. М. Зупник +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1134/1.1842299
published as Phys.Atom.Nucl. 67 (2004) 2188-2199; Yad.Fiz. 67 (2004) 2212-2224 · Latex file, 21 pages
arxiv created 2003/03/21 · openalex publication_date 2004/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The duality-symmetric nonlinear electrodynamics in a new formulation with auxiliary tensor fields is considered. The Maxwell field strength appears only in bilinear terms of the corresponding generic Lagrangian, while the self-interaction is represented by a function E depending on the auxiliary fields. Two types of dualities inherent in the nonlinear electrodynamics admit a simple off-shell characterization as symmetry properties of this function. In the standard formulation, the continuous U (1) duality symmetry is nonlinearly realized on the Maxwell field strength. In the new setting, the same symmetry acts as linear U (1) transformations of the auxiliary field variables. The nonlinear U (1) duality condition proves to be equivalent to the U (1) invariance of the self-interaction E . The discrete self-duality (or self-duality by Legendre transformation) amounts to a weaker reflection symmetry of E . For a class of duality-symmetric Lagrangians, an alternative representation with the auxiliary scalar field is introduced and new explicit examples of such systems are found.