Year: 2004
Type: article
Abstract: 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.
Source: Physics of Atomic Nuclei
DOI: 10.1134/1.1842299
Authors: E. A. Ivanov, B. M. Zupnik
Institution: Joint Institute for Nuclear Research
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2041530825