Ludwig Dmitrievich Faddeev (Russian: Russian: Лю́двиг Дми́триевич Фадде́ев, translit. Ljudvig Dmitrievič Faddeev) was a Russian theoretical physicist, academician (and many years secretary of the Russian Academy of Sciences), son of the algebraist Dmitri Faddeev. With Popov he invented a remarkable method in quantization of gauge theories, i.e. in the evaluation of path integrals with gauge field degrees of freedom (Faddeev-Popov method, see at BRST complex). With B. S. Pavlov, Fadeev has applied the abstract scattering theory to the study of automorphic functions. Faddeev is one of the pioneers of the Leningrad (St. Petersburg) school of integrable systems and quantum inverse scattering method which also lead to the discovery of quantum groups.
Introducing what came to be called the Skyrme-Fadeev model and its Hopfion solitons:
Ludwig D. Faddeev: Quantization of Solitons, talk at ICHEP 76 (1975) [inSpire:2631]
Ludwig D. Faddeev, Antti J. Niemi: Stable knot-like structures in classical field theory (preprint title: Knots and Particles), Nature 387 (1997) 58–61 [arXiv:hep-th/9610193, doi:10.1038/387058a0]
Ludwig D. Faddeev: Knotted solitons, Proceedings of the ICM, Beijing 2002, vol. 1, 235-244 [arXiv:math-ph/0212079, pdf]
and relation to the dual superconductor model of color confinement:
On discrete Heisenberg groups motivated from -current algebra:
On the Yang-Mills mass gap problem:
Ludvig Faddeev: Mass in Quantum Yang-Mills Theory (Comment on a Clay Millennium Problem), in: Perspectives in Analysis, Mathematical Physics Studies 27, Springer (2005) 63-72 [doi:10.1007/3-540-30434-7_6, arXiv:0911.1013]
also: Bull Braz Math Soc, New Series 33 2 (2005) 201-212 [pdf]
On solitons:
FRT construction of quantum groups
Last revised on April 30, 2026 at 12:58:24. See the history of this page for a list of all contributions to it.