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Duality transformations of Abelian and non-Abelian gauge fields
Abstract
Duality transformations, i.e., rotations of electric and magnetic fields into each other, are implementable by a time-local generator for source-free Maxwell theory in an arbitrary spacetime metric. The Maxwell action $\ensuremath{\int}({E}^{2}\ensuremath{-}{B}^{2})$ as well as the stress tensor components, e.g., ${E}^{2}+{B}^{2}$, are duality invariant and the generator is conserved. In the formally analogous Yang-Mills case, duality transformations cannot even be consistently implemented.
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Cites
Existence of a New Conservation Law in Electromagnetic Theory
Lipkin, D. M. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704165 · Cited by 438
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Dual electromagnetism: helicity, spin, momentum and angular momentum
Bliokh, K. Y., Bekshaev, A. Y., & Nori, F. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/3/033026 · Cited by 393
Electromagnetic Duality Symmetry and Helicity Conservation for the Macroscopic Maxwell’s Equations
Fernandez-Corbaton, I., Zambrana-Puyalto, X., Tischler, N., Vidal, X., Juan, M. L., & Molina-Terriza, G. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.060401 · Cited by 195
Duplex symmetry and its relation to the conservation of optical helicity
Barnett, S. M., Cameron, R. P., & Yao, A. M. (2012) · Physical Review A · doi:10.1103/physreva.86.013845 · Cited by 110
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Cameron, R. P., Barnett, S. M., & Yao, A. M. (2014) · Journal of Modern Optics · doi:10.1080/09500340.2013.829874 · Cited by 44
Metadata
- Authors
- Deser, S., & Teitelboim, C.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1976-03-15
- Volume
- 13
- Issue
- 6
- Pages
- 1592-1597
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2164363962
- Cited by
- 327
- References
- 1
- FWCI
- 3.88
- Type
- journal article
- Language
- en
- Open access
- closed
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