Krzysztof Gawedzki

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Krzysztof Gawedzki (* 1947 ) is a Polish mathematical physicist.

Gawedzki, Erlangen 1974

Gawedzki received his doctorate in Warsaw in 1976 ( Fourier like kernels in geometric quantization ). In the 1980s he did research for the CNRS at IHES near Paris. He is a professor at the Ecole Normale Superieure de Lyon .

He dealt with quantum field theory , where he collaborated a lot with Antti Kupiainen in the 1980s on the application of the renormalization group method in the rigorous mathematical treatment of various model systems of quantum field theory, and in particular conformal field theory , which serve as two-dimensional study models of non-perturbation-theoretical aspects of QFT (with applications in the string theory , and statistical mechanics). Here he studied the geometry of WZW models (also called WZNW models, Wess-Zumino-Novikov-Witten models), prototypes for rational conformal field theories.

In 1986 he identified calf Ramon fields (B fields), which generalize electromagnetic background fields in string theory , as 3 co-cycles in Deligne cohomology.

In the 2000s he also turned to the study of turbulence , partly in collaboration with Kupiainen, with whom he demonstrated anomalous scaling behavior of scalar advection in random vector field models of homogeneous turbulence in 1995

In 2002/2003 he was at the Institute for Advanced Study . In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Renormalization: from Magic to Mathematics ).

Fonts

  • Lectures on Conformal Field Theory , in Edward Witten , Robbert Dijkgraaf , Pierre Deligne u. a. Quantum field theory and strings: a course for mathematicians (IAS / Park City Lectures 1996/97), American Mathematical Society 1999
  • Conformal Field Theory , Seminaire Bourbaki, No. 704, 1989 (Asterisque)
  • with Jürg Fröhlich Conformal Field Theory and the Geometry of Strings , CRM Proceedings and Lecture Notes, Volume 7, 1994, pp. 57-97, arxiv
  • Quadrature of conformal field theories , Nucl. Phys. B, Volume 328, 1989, pp. 733-752
  • as editor with Alain Connes , Jean Zinn-Justin Quantum Symmetries , Les Houches Lectures, Volume 64 (August / September 1995), Elsevier 1998
  • with John Cardy , Gregory Falkovich Non equilibrium statistical mechanics and turbulence , London Mathematical Society Lecture Notes 355, Cambridge University Press 2008 (editors Sergey Nazarenko, Oleg V. Zaboronski), therein by Gawedzki: Soluble models of turbulent transport

Web links

Individual evidence

  1. ↑ The Polish pronunciation of Gawedzki is similar to Gawenzki
  2. ↑ For example Gawdedzki, Kupiainen Renormalizing the nonrenormizable , Phys. Rev. Lett., Vol. 55, 1985, pp. 363-365, see also article Kupiainen
  3. ^ For example Giovanni Felder , Gawedzki, Kupiainen Spectra of WZW models with arbitrary simple groups , Communications in Mathematical Physics, Volume 117, 1988, pp. 127–158, the same G / H conformal field theory from gauged WZW model , Physics Letters B, Volume 215, 1988, pp. 119-223, the same Coset construction from functional integrals , Nuclear Physics B, Volume 320, 1989, pp. 625-668
  4. ↑ Gawedzki Conformal field theories - a case study , lectures 1999 on the WZW model
  5. ↑ Gawedzki Topological actions in 2 dimensional quantum field theories , in Gerard t'Hooft, Arthur Jaffe, G. Mack, Peter Mitter, Raymond Stora (editors) Non perturbative quantum field theory , Cargèse Lectures 1987, pp. 101-141, NATO Advanced Study Inst., Plenum Press 1988, see Krzysztof Gawedzki , entry in the nLab . (English)
  6. ↑ Kalb-Ramond-Field in n-cat-lab , ordinary electromagnetic fields in the quantum field theory of point particles, on the other hand, are 2-co-cycles and are described by 2-forms. Calf Ramond fields by 3 forms.
  7. ↑ Gawedzki Turbulence under a magnifying glass , lecture 1996, preprint
  8. ↑ Gawedzki, Kupiainen Anomalous scaling of the passive scalar , Phys. Rev. Lett., Vol. 75, 1995, p. 3834
  9. ↑ Directory of Members. In: math.ias.edu. Archived from the original on September 5, 2006 .;
personal data
SURNAME Gawedzki, Krzysztof
BRIEF DESCRIPTION Polish physicist
DATE OF BIRTH 1947