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Krzysztof Gawedzki

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This is an old revision of this page, as edited by Simeon (talk | contribs) at 21:08, 4 January 2022 (Adding local short description: "Polish mathematical physicist", overriding Wikidata description "French physicist" (Shortdesc helper)). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Gawędzki, Erlangen 1974

Krzysztof Gawędzki[1] (born 1947) is a Polish mathematical physicist.

Education and career

Gawedzki received in 1971 his doctorate from the University of Warsaw.[2] His doctoral dissertation Functional theory of geodesic fields was supervised by Krzysztof Maurin [pl][3] (1923–2017).

In the 1980s Gawedzki did research at CNRS at the IHES near Paris. He was a professor at the École normale supérieure de Lyon (ENS de Lyon), where he is a now an emeritus researcher.[4]

He is known for his research in the mathematics of quantum field theory (QFT), especially conformal field theory.[5] In the 1980s he collaborated with Antti Kupiainen on the application of the renormalization group method in the rigorous mathematical treatment of various model systems of quantum field theory.[6][7] Much of their research deals with conformal field theories, which serve as two-dimensional toy models of non-perturbative aspects of QFT (with applications to string theory and statistical mechanics). Gadwedzki and collaborators studied the geometry of WZW models (also called WZNW models, Wess-Zumino-Novikov-Witten models), prototypes for rational conformal field theories.[8][9][10][11]

With Kupiainen he succeeded in the 1980s in the rigorous construction of the massless lattice model in four dimensions and the Gross-Neveu model in two space-time dimensions.[12][13] At about the same time, this was achieved by Roland Sénéor, Jacques Magnen, Joel Feldman and Vincent Rivasseau. This was considered an outstanding achievement in constructive quantum field theory.

In 1986 Gawedzki[14] identified the Kalb–Ramond field (B field), which generalizes the electromagnetic field from point particles to strings, as a degree-3 cocycle in the Deligne cohomology model.[15]

In the 2000s he did research on turbulence,[16] partly in collaboration with Kupiainen. In 1995 Gadwedzki and Kupianen demonstrated anomalous scaling behavior of scalar advection in random vector field models of homogeneous turbulence.[17]

From January to June 2003 he was at the Institute for Advanced Study.[2] In 1986 he was invited speaker with talk Renormalization: from magic to mathematics at the International Congress of Mathematicians in Berkeley.[18] In 2007 at ENS de Lyon a conference on mathematical physics was held in honor of his 60th birthday.[19] In 2017 at the University of Nice Sophia Antipolis a conference on mathematical physics was held in honor of his 70th birthday.[20]

Selected publications

  • Deligne, P.; Etingof, P.; Freed, D. S.; Jeffrey, L.; Kazhdan, D.; Morgan, J.; Morrison, D. R.; Witten, E., eds. (1999). "Lectures on Conformal Field Theory by K. Gawedzki". Quantum Fields and Strings: A Course for Mathematicians (IAS/Park City Lectures 1996/97). American Mathematical Society. pp. 727–805. ISBN 9780821820148.
  • Gawędzki, Krzysztof (1989). "Conformal field theory". Astérisque. Séminaire Bourbaki, Exp. No. 704. 1988/89 (177–178): 95–126. MR 1040570.
  • Frohlich, Jurg; Gawedzki, Krzysztof (1994). "Conformal Field Theory and Geometry of Strings". CRM Proceedings and Lecture Notes. 7: 57–97. arXiv:hep-th/9310187. doi:10.1090/crmp/007/03. ISBN 9780821803653. S2CID 117189485.
  • Gawȩdzki, Krzysztof (1989). "Quadrature of conformal field theories". Nuclear Physics B. 328 (3): 733–752. Bibcode:1989NuPhB.328..733G. doi:10.1016/0550-3213(89)90228-9.
  • Connes, Alain; Gawędzki, K.; Zinn-Justin, Jean, eds. (1998). Quantum Symmetries. Les Houches Lectures, vol. 64 (August/September 1995), Université Joseph Fourier. Elsevier. ISBN 9780444828675.
  • Cardy, John; Falkovich, Gregory; Gawędzki, Krzysztof (11 December 2008). Non-equilibrium Statistical Mechanics and Turbulence. London Mathematical Society Lecture Notes Series 355. Cambridge University Press. ISBN 9780521715140.
  • Nazarenko, Sergey; Zaboronski, Oleg V., eds. (2008). "Krzysztof Gawędzki. Soluble models of turbulent transport". Non-equilibrium Statistical Mechanics and Turbulence. London Mathematical Society Lecture Notes 355. Cambridge University Press. pp. 44–107. doi:10.1017/CBO9780511812149.003. ISBN 9780511812149.

References

  1. ^ The Polish pronunciation of "Gawędzki" is similar to that of "Gawenzki" — because of the pronunciation of the Polish letter ę.
  2. ^ a b "Krzysztof Gawedzki". Institute for Advanced Study. 9 December 2019.
  3. ^ Krzysztof Gawędzki at the Mathematics Genealogy Project
  4. ^ "Krzysztof Gawedzki, Thermodynamics of Fluctuations in Fast Processes". ICFO Colloquia. February 4, 2016.
  5. ^ "Krzysztof Gawedzki". nLab.
  6. ^ Gawdedzki, K.; Kupiainen, A. (1985). "Renormalizing the nonrenormizable". Phys. Rev. Lett. 55 (4): 363–3365. doi:10.1103/PhysRevLett.55.363. PMID 10032331.
  7. ^ Gawȩdski, K.; Kupiainen, A. (1985). "Renormalization of a non-renormalizable quantum field theory". Nuclear Physics B. 262 (1): 33–48. Bibcode:1985NuPhB.262...33G. doi:10.1016/0550-3213(85)90062-8.
  8. ^ Felder, G.; Gawedzki, K.; Kupiainen, A. (1988). "Spectra of WZW models with arbitrary simple group". Communications in Mathematical Physics. 117: 127–158. doi:10.1007/BF01228414. S2CID 119767773.
  9. ^ Gawȩdzki, K.; Kupiainen, A. (1988). "G/H conformal field theory from gauged WZW model". Physics Letters B. 215 (1): 119–123. Bibcode:1988PhLB..215..119G. doi:10.1016/0370-2693(88)91081-7.
  10. ^ Gawȩdzki, K.; Kupiainen, A. (1989). "Coset construction from functional integrals". Nuclear Physics B. 320 (3): 625–668. Bibcode:1989NuPhB.320..625G. doi:10.1016/0550-3213(89)90015-1.
  11. ^ Gawedzki, Krzysztof (1999). "Conformal field theory: A case study". arXiv:hep-th/9904145.
  12. ^ Gawedzki, K.; Kupiainen, A. (1985). "Massless lattice theory: Rigorous control of a renormalizable asymptotically free model". Communications in Mathematical Physics. 99 (2): 197–252. doi:10.1007/BF01212281. S2CID 121722023.
  13. ^ Gawçdzki, K.; Kupiainen, A. (1985). "Gross-Neveu model through convergent perturbation expansions". Communications in Mathematical Physics. 102 (1): 1–30. Bibcode:1985CMaPh.102....1G. doi:10.1007/BF01208817. S2CID 122720270.
  14. ^ Gawędzki, K. (1988). "Topological Actions in Two-Dimensional Quantum Field Theories". In: Gerard t'Hooft, Arthur Jaffe, G. Mack, Peter Mitter, Raymond Stora (eds.), Nonperturbative Quantum Field Theory, Cargèse Lectures 1987. NATO ASI Series. Vol. 185. pp. 101–141. doi:10.1007/978-1-4613-0729-7_5. ISBN 978-1-4612-8053-8.
  15. ^ "Kalb-Ramond Field". nLab.
  16. ^ Gawedzki, Krzysztof (1996). "Turbulence under a magnifying glass". arXiv:chao-dyn/9610003.
  17. ^ Gawȩdzki, Krzysztof; Kupiainen, Antti (1995). "Anomalous Scaling of the Passive Scalar". Physical Review Letters. 75 (21): 3834–3837. arXiv:chao-dyn/9506010. Bibcode:1995PhRvL..75.3834G. doi:10.1103/PhysRevLett.75.3834. PMID 10059743. S2CID 14446225.
  18. ^ Gawędzki, K. (1986). "Renormalization: from magic to mathematics". Proceedings. Vol. vol. 2. pp. 1278–1285. {{cite book}}: |volume= has extra text (help)
  19. ^ ""Fields, Fluids & Branes", Conference on Mathematical Physics on the Occasion of the 60th Birthday of Krzysztof Gawędzki". École Normale Supérieure de Lyon, France. 2007.
  20. ^ "From Field Theory to Non-Equilibrium, Conference on Mathematical Physics in honour of Krzysztof Gawędzki on the occasion of his 70th birthday". 2017.
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