Juerg Fröhlich

Jürg Fröhlich in Oberwolfach, 2005

Jürg Martin Fröhlich (born July 4, 1946 in Schaffhausen ) is a Swiss theoretical physicist , mathematician and university professor .

Life

Cheerful made in 1965 in Schaffhausen, the Matur and then studied at the ETH Zurich mathematics and physics . In 1969 he graduated from Klaus Hepp and Robert Schrader ( Dressing Transformations in Quantum Field Theory ). In 1972 he did his doctorate there with Klaus Hepp ( About the infrared problem in a model of scalar electrons and scalar bosons of rest mass 0 ). 1972/73 he was assistant at the University of Geneva and 1973/74 Research Fellow with Arthur Jaffe at Harvard University . From 1974 to 1977 he was an assistant professor in the mathematics department at Princeton University . In 1976 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ). From 1978 to 1982 he was a professor at the Institut des Hautes Études Scientifiques in Bures-sur-Yvette near Paris. Since 1982 he has been professor for theoretical physics at the ETH, where he founded the “Center for Theoretical Studies”.

Fröhlich works on quantum field theory ( axiomatic quantum field theory , conformal field theories , topological quantum field theories) and the strict mathematical treatment of models of statistical mechanics , the theory of phase transitions and z. B. the Fractional Quantum Hall Effect (FQHE) and non-commutative geometry (in the sense of Alain Connes ).

In 1981, independently of Michael Aizenman , he proved the triviality of quantum field theories for dimensions . ${\displaystyle \phi ^{4}}$ ${\displaystyle d>4}$

In 1978 Fröhlich held an Invited Address at the International Congress of Mathematicians (ICM) in Helsinki ("On the mathematics of phase transitions and critical phenomena") and in 1994 a plenary lecture at the ICM in Zurich ("The FQHE, Chern-Simons Theory and Integral Lattices") ). In 1992 he was invited speaker at the European Congress of Mathematicians in Paris (Mathematical Aspects of the Quantum Hall Effect). In 1984 he was awarded the National Latsis Prize of the Swiss National Science Foundation. In 1991 he and Thomas C. Spencer received the Dannie Heineman Prize for Mathematical Physics . In 1997 Fröhlich received the Marcel Benoist Prize ... in recognition of his groundbreaking and fundamental work in the field of mathematical physics, in particular in the description of phase transitions, electron localization and the quantum Hall effect. In 2001 he received the Max Planck Medal of the German Physical Society. 2004 Cheerful received for ... his work on the theory of phase transitions, quantum field theory and the quantum Hall effect , the honorary doctorate of the University of Zurich. In 2009 he received the Henri Poincaré Prize . He is a member of the Academia Europaea , the Berlin-Brandenburg Academy of Sciences and the National Academy of Sciences and a fellow of the American Mathematical Society .

Fröhlich has been married since 1972 and has two daughters.

Fonts (selection)

• A journey through statistical physics: selecta of Jürg Fröhlich (editors Giovanni Felder , Gian Michele Graf , Klaus Hepp ). Springer Verlag 2009
• J. Froehlich: The Pure phases (harmonic functions) of generalized processes or: mathematical physics of phase transitions and symmetry breaking . In: Bulletin of the AMS , 1978, pp. 165-193
• Fröhlich, Spencer: Some recent rigorous results in the theory of phase transitions and critical phenomena . Seminar Bourbaki, 586, 1982
• Driessler, Fröhlich: The reconstruction of local observable algebras from the euclidean Green's functions of relativistic quantum field theory . In: Annales de l'Institut Henri Poincaré , 1977, pp. 221-236
• Eckmann, Epstein, Fröhlich: Asymptotic perturbation expansion for the S-matrix and the definition of time ordered functions in relativistic quantum field models . In: Annales de l'Institut Henri Poincaré , 1976, pp. 1-34
• with F. Gabbiani, P.-A. Marchetti: Braid Statistics in Three-Dimensional Local Quantum Theory . In: HC Lee (Ed.): Physics, Geometry and Topology . Banff Summer School in Theoretical Physics, 1989, pp. 15–79,
• Fröhlich, Studer, Thiran: Quantum theory of large systems of non relativistic matter , Les Houches Lectures, 1994, 145 pages, arxiv : cond-mat / 9508062
• Fröhlich, Chen, Seifert: Renormalization Group Methods: Landau-Fermi liquid and BCS Superconductor . Les Houches, 1994, 50 pages, arxiv : cond-mat / 9508063
• Fröhlich, Grandjean, Recknagel: Supersymmetric quantum theory, non commutative geometry and gravitation . Les Houches Lectures, 1995, arxiv : hep-th / 9706132
• Fröhlich, Simon, Spencer: Infrared bounds, phase transitions and continuous symmetry breaking . In: Communications in mathematical physics , Volume 50, 1976, pp. 79-95
• with R. Fernandez, Alan Sokal : Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory . Springer Verlag, 1992
• Non-perturbative Quantum Field Theory. Mathematical Aspects and Applications. Selected Papers by Jürg Fröhlich . World Scientific, 1992
• J. Fröhlich, T. Spencer: Absence of diffusion in the Anderson tight binding model for large disorder or low energy . In: Comm. Math. Phys., Vol. 88, 1983, pp. 151-184

Web links

• Website at ETH
• Details for Jürg M. Fröhlich. Retrieved February 9, 2011 . 
• Presentation slides for Arthur Jaffe's speech "Constructive Jürg" 2007

Individual evidence

1. ↑ Fröhlich: On the Triviality of Theories and the Approach to the critical Point in d (-)> 4 Dimensions ${\displaystyle \lambda \phi _{d}^{4}}$ . In: Nucl. Phys. B , Volume 200, 1981, p. 281
2. ↑ 1997 Jürg M. Fröhlich. Retrieved February 9, 2011 . 
3. ↑ UZH News Dies academicus 2004. (No longer available online.) Archived from the original on July 20, 2013 ; Retrieved February 9, 2011 . Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.