Ludwig Faddeev is widely recognized as one of the titans of 20th century
mathematical physics. His fundamental contributions to scattering
theory, quantum gauge theories, and the theory of classical and quantum
completely integrable systems played a key role in shaping modern
mathematical physics.
Ludwig Faddeev's major achievements include the solution of the
three-body problem in quantum mechanics, the mathematical formulation of
quantum gauge theories and corresponding Feynman rules, Hamiltonian and
algebraic methods in mathematical physics, with applications to gauge
theories with anomalies, quantum systems with constraints and solitons,
the discovery of the algebraic structure of classical and quantum
integrable systems and quantum groups, and solitons with the topology of
knots.
Faddeev's name is imprinted in many areas of mathematics and theoretical
physics, including "Faddeev's equations" and "Faddeev's Green function"
in scattering theory, "Faddeev-Popov ghosts" and "Faddeev-Popov
determinant" in gauge theories, "Gardner-Faddeev-Zakharov bracket" for
the KdV equation, "Faddeev-Zamolodchikov algebra" in quantum integrable
systems, "Faddeev-Reshetikhin-Takhtajan construction" in the theory of
quantum groups, knotted solitons in the "Skyrme-Faddeev model" and many
others.
Ludwig Faddeev founded the St. Petersburg school of modern mathematical
physics and distinguished himself by serving the mathematics community
for over three decades including his leadership of the International
Mathematical Union in the period of 1986-1990. He was conferred numerous
prizes and memberships of prestigious institutions in recognition of the
importance of his work. These include the Dannie Heineman Prize for
Mathematical Physics, the Dirac Medal, the Max Planck Medal, the Shaw
Prize and the Lomonosov Gold Medal among others.
A gathering of contributions from some of the biggest names in
mathematics and physics, this volume serves as a tribute to this
legendary figure. Volume contributors include: Fields medalist Sir
Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita
Nekrasov, André Neveu, Alexander M Polyakov, Samson Shatashvili, Fedor
Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.
