Alexander Arkadyevich Migdal

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 Arkadyevich (Sasha) Migdal
Born (1945-07-22) July 22, 1945
Moscow, Soviet Union
Alma materMoscow Institute of Physics and Technology
Known forReggeon Field Theory
Conformal Field Theory
Migdal-Polyakov Bootstrap
Migdal-Kadanoff Recursion
Loop Equations
Matrix Models
Two-dimensional Yang–Mills theory
AwardsLandau-Weizmann Award (1996)
Scientific career
FieldsTheoretical High Energy Physics
Laser scanning
Stock market prediction
InstitutionsPrinceton University
Landau Institute for Theoretical Physics (ITP)
New York University

Scientific career

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",[1][2] in the spring of 1965,[3] independently [3][4][5][6][7][8] of Robert Brout, François Englert and Peter Higgs.[9]

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.[10] This work led to so called Migdal-Polyakov conformal bootstrap[11][12] which had profound influence and helped to make progress in the theory of critical phenomena as well as the theory of strong interactions.[13]

In the next decade Migdal made important progress in quantum chromodynamics by introducing a novel form of the renormalization group (now called Migdal-Kadanoff bond-moving approximation),[14][15][16] and by deriving (with Yu. Makeenko) the equation for the Wilson loops.[17][18] The so-called Migdal program[19][20] was a precursor and provided an impetus to the Shifman-Vainshtein-Zakharov sum rule method (SVZ sum rules) in QCD[21] 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.[22][23]

He also worked on the applications of quantum field theory to the theory of turbulence, and derived the exact loop equation for velocity circulation to describe this phenomenon.[24][25] He initiated (with V. Gurarie, G. Falkovich, and V. Lebedev) a description of intermittency in nonlinear systems by means of Instanton solutions of the stochastic differential equations.[26]

After a hiatus in his research work, he restarted publishing prolifically in 2019, on various aspects of turbulence.[27] In these years he was affiliated with the Fresnel Research Lab LLC, New York University as a Research Professor,[28] and the Abu Dhabi Investment Authority.

Entrepreneurship

Leaving Princeton tenure in 1996, he became an inventor and entrepreneur. He holds 10+ patents in laser scanning and 3D data compression/transmission,[29] built (with A. Lebedev and M. Petrov) first textured 3D scanner which was awarded as Best Of What's New and other industrial awards.[30] He was director of several companies and invited speaker of numerous international conferences. Currently he is CEO of his fourth start-up company Migdal Research LLC dedicated to the stock market prediction.

Selected books, poems and essays

See also

References
  1. A. A. Migdal and A. M. Polyakov, "Spontaneous Breakdown of Strong Interaction Symmetry and Absence of Massless Particles" Archived 2013-12-03 at the Wayback Machine, Soviet Physics JETP, July 1966
  2. "Princeton celebrates Polyakov's 60th". Cern Courier. Archived from the original on 2011-07-09. Retrieved 27 May 2013.
  3. A.M. Polyakov, A View From The Island, 1992
  4. Farhi, E., & Jackiw, R. W. (1982). Dynamical Gauge Symmetry Breaking: A Collection Of Reprints. Singapore: World Scientific Pub. Co.
  5. Close, Frank. "The Infinity Puzzle." 2011, p.158
  6. The Guardian, Norman Dombey, "Higgs Boson: Credit Where It's Due", July 6, 2012
  7. "Cern Courier, Mar 1, 2006". Archived from the original on 2011-07-09. Retrieved 2013-05-05.
  8. Carroll, Sean (2012). The Particle at the End of the Universe: The Hunt for the Higgs and the Discovery of a New World. p.228
  9. See footnote No. 1 in Steven Weinberg "The Crisis of Big Science", New York Review of Books, May 10, 2012
  10. V. N. Gribov and A. A. Migdal, "Strong Coupling in the Pomeranchuk Pole Problem" Archived 2016-03-04 at the Wayback Machine, Soviet Physics JETP, October 1968
  11. A. M. Polyakov, "Conformal Symmetry Of Critical Fluctuations", Journal of Experimental and Theoretical Physics Letters, Vol. 12, 1970.
  12. A. A. Migdal, "Conformal Invariance and Bootstrap", Physics Letters B, December 1971
  13. K.G. Wilson, Nobel Lecture, 1982
  14. A. A. Migdal, "Phase Transitions in Gauge and Spin Lattice Systems", Soviet Physics JETP, October 1975
  15. Leo P. Kadanoff, "Notes on Migdal's Recursion Formulas", Annals of Physics, September 1976
  16. Biroli, Giulio; Schehr, Grégory (October 11, 2018). "Migdal-Kadanoff bond moving approximation" (PDF). Retrieved 9 January 2023.
  17. Yu. M. Makeenko and A. A. Migdal, "Exact Equation for the Loop Average in Multicolor QCD", Physics Letters B, December 1979
  18. A. A. Migdal, "Hidden Symmetries of Large N QCD", arXiv, October 1996
  19. A. A. Migdal, "Series Expansion for Mesonic Masses in Multicolor QCD", Annals of Physics, January 1978
  20. Alexander Migdal, "Meromorphization of Large N QFT", arXiv, October 2011
  21. Vacuum Structure and QCD Sum Rules, Ed. M. Shifman (North-Holland, 1992)
  22. V. A. Kazakov and A. A. Migdal, "Recent Progress in the Theory of Noncritical Strings", Nuclear Physics B, December 1988
  23. David J. Gross and A. A. Migdal, "A Nonperturbative Treatment of Two-Dimensional Quantum Gravity", Nuclear Physics B, August 1990
  24. A. A. Migdal, "Loop Equation and Area Law in Turbulence", 'arXiv, October 1993
  25. A. A. Migdal, "Turbulence as Statistics of Vortex Cells", arXiv, June 1993
  26. G. Falkovich, I. Kolokolov, V. Lebedev, and A. Migdal "Instantons and Intermittency", Physical Review E, November 1996
  27. "Search | arXiv e-print repository". arxiv.org. Retrieved 2023-01-09.
  28. "Faculty". 2022-02-16. Archived from the original on 2022-02-16. Retrieved 2023-01-09.
  29. A. Lebedev, A. A. Migdal, and M. Petrov, "System and Method for Rapid Shaped Digitizing and Adaptive Mesh Generation", November 1999
  30. "Spinning a 3-D Web", Popular Science, December 1999
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