Édouard Brézin
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Édouard Brezin | |
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École Polytechnique École des ponts ParisTech | |
Scientific career | |
Fields | Physics |
Édouard Brézin (French:
Biography
Brézin was born in
Brézin studied at
Brezin contributed to the field of physics that deals with the macroscopic physical properties of matter and
Brézin was elected a member of the
He is Chair of the Cyprus Research and Educational Foundation.[5] He was awarded the 2011 Dirac Medal of the International Centre for Theoretical Physics together with John Cardy and Alexander Zamolodchikov.
In 2004 he won the Institute of Physics President's Medal.[6]
Research work
Edouard Brezin's work is devoted to quantum field theory, mainly for applications in statistical physics.[7] It uses the theoretical formulation of the renormalization group for critical phenomena (equation of states, scaling corrections, etc.). He showed that the low temperature phase, in the case of a continuous symmetry break, is described by a non-linear sigma model, leading to a development of critical exponents in powers of the minus two space dimension. He showed that the instantaneous method can be used to characterize the asymptotic behaviour of perturbation theory, thus allowing accurate theoretical estimates to be made.[8] He has applied field theory techniques to condensed matter problems, such as critical wetting theory or the study of the phase transition from a normal metal to a type II superconductor under magnetic field. He became interested in theories of gauging with a large number of colors. This led to a representation of two-dimensional quantum gravity by random fluctuating surfaces or closed bosonic strings, in terms of random matrices.[9] He showed that the continuous boundary of such models is linked to integrable hierarchies such as KdV flows. He has also worked on establishing the universality of eigenvalue correlations for random matrices.[10]
Notable publications
- Brezin, E.; Itzykson, C. (1970-10-01). "Pair Production in Vacuum by an Alternating Field". Physical Review D. 2 (7). American Physical Society (APS): 1191–1199. ISSN 0556-2821.
- Brézin, E.; Wallace, D. J.; Wilson, Kenneth G. (1972-08-28). "Feynman-Graph Expansion for the Equation of State near the Critical Point (Ising-like Case)". Physical Review Letters. 29 (9). American Physical Society (APS): 591–594. ISSN 0031-9007.
- Brezin, E.; Le Guillou, J. C.; Zinn-Justin, J. (1973-07-15). "Wilson's Theory of Critical Phenomena and Callan-Symanzik Equations in 4−ε Dimensions". Physical Review D. 8 (2). American Physical Society (APS): 434–440. ISSN 0556-2821.
- Brézin, E.; Zinn-Justin, J. (1976-03-29). "Renormalization of the NonlinearσModel in 2+ε Dimensions—Application to the Heisenberg Ferromagnets". Physical Review Letters. 36 (13). American Physical Society (APS): 691–694. ISSN 0031-9007.
- Brézin, E.; Itzykson, C.; Parisi, G.; Zuber, J. B. (1978). "Planar diagrams". Communications in Mathematical Physics. 59 (1). Springer Science and Business Media LLC: 35–51. S2CID 189831738.
- Brezin, E.; Gross, David J. (1980). "The external field problem in the large N limit of QCD". Physics Letters B. 97 (1). Elsevier BV: 120–124. ISSN 0370-2693.
- Brézin, E.; Halperin, B. I.; Leibler, S. (1983-05-02). "Critical Wetting in Three Dimensions". Physical Review Letters. 50 (18). American Physical Society (APS): 1387–1390. ISSN 0031-9007.
- Brézin, E.; Gross, David J.; Itzykson, C. (1984). "Density of states in the presence of a strong magnetic field and random impurities". Nuclear Physics B. 235 (1). Elsevier BV: 24–44. ISSN 0550-3213.
- Brézin, E.; Nelson, D. R.; Thiaville, A. (1985-06-01). "Fluctuation effects near Hc2 in type-II superconductors". Physical Review B. 31 (11). American Physical Society (APS): 7124–7132. PMID 9935631.
- Brézin, E.; Kazakov, V.A. (1990). "Exactly solvable field theories of closed strings". Physics Letters B. 236 (2). Elsevier BV: 144–150. ISSN 0370-2693.
- Brézin, E.; Zee, A. (1993). "Universality of the correlations between eigenvalues of large random matrices". Nuclear Physics B. 402 (3). Elsevier BV: 613–627. ISSN 0550-3213.
- Brézin, E.; Hikami, S. (2008-05-29). "Intersection Theory from Duality and Replica". Communications in Mathematical Physics. 283 (2): 507–521. S2CID 13993047.
Books
- The large N expansion in quantum field theory and statistical physics, E Brezin and S Wadia, World Scientific (1993)
- Introduction to statistical field theory, E Brezin, Cambridge University press (2010)
See also
References
- ^ S2CID 228896365. Retrieved 25 January 2022.
- ^ "Jewish Recipients of the Dirac Medal".
- ^ Decree of 14 May 2004
- ^ Decree of 31 December 1999
- ^ The Cyprus Institute, CREF
- ^ "resident's medal recipients". Institute of Physics. Retrieved 26 December 2019.
- ISBN 978-9810204563.
- ISBN 9780444884404.
- ISBN 978-981-10-3316-2.
- .
External links
- (in French) Pr Brézin's page on the Academy's site
- (in French) Pr Brézin's biography on the Academy's site
- (in French) Communiqué of November 30, 2004 including a biography