Alexander Arkadyevich Migdal
| Alexander Arkadyevich (Sasha) Migdal | |
|---|---|
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| Born |
July 22, 1945 Moscow, Soviet Union |
| Fields |
Theoretical High Energy Physics Laser scanning |
| Institutions |
Princeton University Landau Institute for Theoretical Physics (ITP) |
| Alma mater | Moscow Institute of Physics and Technology |
| Known for |
Reggeon Field Theory Conformal Field Theory Migdal-Polyakov Bootstrap Migdal-Kadanoff Recursion Loop Equations Matrix Models |
| Notable awards | Landau-Weizmann Award (1996) |
Alexander Arkadyevich Migdal (Russian: Александр Арка́дьевич Мигдал; born 22 July 1945) is a Russian – American physicist and entrepreneur, formerly at Landau Institute for Theoretical Physics, Space Research Institute, Princeton University, ViewPoint Corp, Magic Works LLC, and now at Migdal Research LLC.
Alexander Migdal made important contributions to the theory of critical phenomena, quantum chromodynamics and conformal field theory. As an undergraduate student he worked out (with Alexander Polyakov) the theory of the dynamical mass generation in gauge theories, commonly referred to as the "Higgs mechanism", in the spring of 1965, independently of Robert Brout, François Englert and Peter Higgs.
In 1968 he published a paper (with Vladimir Gribov) which introduced (in the context of the Reggeon field theory) scale invariance with anomalous dimensions to be determined as eigenvalues of bootstrap equations of quantum field theory. This work led to so called Migdal-Polyakov conformal bootstrap which had profound influence and helped to make progress in the theory of critical phenomena as well as the theory of strong interactions.
In the next decade Migdal made important progress in quantum chromodynamics by introducing a novel form of the renormalization group (now called Migdal-Kadanoff renormalization), and by deriving (with Yu. Makeenko) the equation for the Wilson loops. The so-called Migdal program was a precursor and provided an impetus to the Shifman-Vainshtein-Zakharov sum rule method (SVZ sum rules) in QCD which presently plays a basic role in the calculations of hadronic properties. Later he found exact solution of quantum gravity in two dimensions (with V. Kazakov and D. Gross), starting the topic of matrix models of topological field theories which occupied the physics community for a number of years.
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