**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.

*Modern Mathematical Physics: what it should be?*in Fokos, Grigoryan, Kibble, Zegarlinski (eds)*Mathematical Physics 2000*, World Scientific (2000) (arXiv:math-ph/0002018)

On the mass gap problem:

- Ludvig Faddeev,
*Mass in quantum Yang-Mills theory*, Bull. Braz. Math. Soc., New Series**33**2 (2002) 201–212 [arXiv:0911.1013]

On solitons:

- Ludwig D. Faddeev, Leon Takhtajan,
*Hamiltonian methods in the theory of solitons*, Springer (2007) [doi:10.1007/978-3-540-69969-9]

FRT construction of quantum groups

- N. Yu. Reshetikhin, L. A. Takhtajan, L. D. Faddeev,
*Quantization of Lie groups and Lie algebras*, Algebra i analiz**1**, 178 (1989) (Russian), English transl. in Leningrad Math. J. 1. - L. D. Faddeev, N. Yu. Reshetikhin, L. A. Takhtajan,
*Quantum Groups. Braid Group, Knot Theory and Statistical Mechanics*, in: Adv. Ser. Math. Phys.**9**, World Sci. 1989, pp. 97–110

category: people

Last revised on October 1, 2024 at 12:05:27. See the history of this page for a list of all contributions to it.