Claude Itzykson Explained

Claude Georges Itzykson, (11 April 1938 – 22 May 1995) was a French theoretical physicist who worked in quantum field theory and statistical mechanics.^{[1] [2]}

Biography

Separated from his parents by World War II, his father was taken to a Nazi concentration camp and Itzykson is raised in a Jewish orphanage in Maisons-Laffitte.^[2] After studying at the Lycée Condorcet Itzykson graduated from the Ecole Polytechnique in 1959. He joined the Theoretical Physics Department of the CEA in Saclay in 1962,^[1] then headed by Claude Bloch.^[2] He spent most of his career at Saclay, except for numerous visiting positions he held throughout his working life, such as at the Institute for Advanced Study, Princeton.^{[1] [3]}

Works

He was a specialist in quantum field theory and applications of group theory in physics.^[4] In particular, he worked on the symmetries of the hydrogen atom, the discretization of network gauge theories,^[5] the integrals on large matrices^[6] and their applications to problems of combinatorics and physics of random surfaces, and conformal field theories and their classification.

His first works were done in collaboration with Maurice Jacob and Raymond Stora.^[2] In 1980 he published a treatise on quantum field theory with Jean-Bernard Zuber that became a staple textbook on the subject.^[1]

Awards

In 1995 Itzykson received the Ampère Prize of the French Academy of Sciences.^[2]

Bibliography

Textbooks

• Book: Itzykson. C.. Zuber. J.-B.. Quantum Field Theory. 1980. Dover Publications. Mineola, New York. 978-0486445687. 2005. 2005053026. 61200849.
• Book: Itzykson . C. . Drouffe . J.-M. . Statistical Field Theory Volume 1. From Brownian Motion to Renormalization and Lattice Gauge Theory. . 1989a . Cambridge University Press . Cambridge . 0-521-34058-6. 852124007. 88030162.
• Book: Itzykson . C. . Drouffe . J.-M. . Statistical Field Theory Volume 2. Strong coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. . 1989b . Cambridge University Press . Cambridge . 0-521-37012-4. 852124007. 88030162.

Selected publications

• Balian. R.. Roger Balian. Drouffe. J. M.. Itzykson. C.. Gauge fields on a lattice. I. General outlook. Physical Review D. 10. 10. 1974. 3376–3395. 0556-2821. 10.1103/PhysRevD.10.3376. 1974PhRvD..10.3376B.
• Balian. R.. Roger Balian. Drouffe. J. M.. Itzykson. C.. Gauge fields on a lattice. II. Gauge-invariant Ising model. Physical Review D. 11. 8. 1975. 2098–2103. 0556-2821. 10.1103/PhysRevD.11.2098. 1975PhRvD..11.2098B.
• Bander. M.. Itzykson. C.. Group Theory and the Hydrogen Atom (I). Reviews of Modern Physics. 38. 2. 1966. 330–345. 0034-6861. 10.1103/RevModPhys.38.330. 1966RvMP...38..330B.
• Bauer. M.. Di Francesco. Ph.. Itzykson. C.. Zuber. J.-B.. Covariant differential equations and singular vectors in virasoro representations. Nuclear Physics B. 362. 3. 1991. 515–562. 0550-3213. 10.1016/0550-3213(91)90541-5. 1991NuPhB.362..515B.
• Bessis. D. Itzykson. C. Zuber. J.B. 31392310. Quantum field theory techniques in graphical enumeration. Advances in Applied Mathematics. 1. 2. 1980. 109–157. 0196-8858. 10.1016/0196-8858(80)90008-1. free.
• Brezin. E.. Édouard Brézin. Itzykson. C.. Pair Production in Vacuum by an Alternating Field. Physical Review D. 2. 7. 1970. 1191–1199. 0556-2821. 10.1103/PhysRevD.2.1191. 1970PhRvD...2.1191B.
• Brézin. E.. Édouard Brézin. Itzykson. C.. Zinn-Justin. J.. Jean Zinn-Justin. Zuber. J.-B.. Remarks about the existence of non-local charges in two-dimensional models. Physics Letters B. 82. 3–4. 1979. 442–444. 0370-2693. 10.1016/0370-2693(79)90263-6. 1979PhLB...82..442B.
• Brézin. E.. Édouard Brézin. Gross. David J.. David Gross. Itzykson. C.. Density of states in the presence of a strong magnetic field and random impurities. Nuclear Physics B. 235. 1. 1984. 24–44. 0550-3213. 10.1016/0550-3213(84)90146-9. 1984NuPhB.235...24B.
• Book: Brézin. E.. The Large N Expansion in Quantum Field Theory and Statistical Physics. Itzykson. C.. Parisi. G.. Zuber. J. B.. Planar Diagrams. 1993. 567–583. 10.1142/9789814365802_0036. 978-981-02-0455-6.
• Derrida. B.. Bernard Derrida. De Seze. L.. Itzykson. C.. Fractal structure of zeros in hierarchical models. Journal of Statistical Physics. 33. 3. 1983. 559–569. 0022-4715. 10.1007/BF01018834. 1983JSP....33..559D. 10.1.1.496.2573. 122632661.
• Book: Drouffe. J. M.. Facts and Prospects of Gauge Theories. Itzykson. C.. 1978. 203–204. 10.1007/978-3-7091-8538-4_5. 978-3-7091-8540-7.
• Drouffe. J. M.. Itzykson. C.. Random geometry and the statistics of two-dimensional cells. Nuclear Physics B. 235. 1. 1984. 45–53. 0550-3213. 10.1016/0550-3213(84)90147-0. 1984NuPhB.235...45D.
• Itzykson. C.. Zuber. J.-B.. The planar approximation. II. Journal of Mathematical Physics. 21. 3. 1980b. 411–421. 0022-2488. 10.1063/1.524438. 1980JMP....21..411I.
• Itzykson. C.. Pearson. R.B.. Zuber. J.B.. Distribution of zeros in Ising and gauge models. Nuclear Physics B. 220. 4. 1983. 415–433. 0550-3213. 10.1016/0550-3213(83)90499-6. 1983NuPhB.220..415I.
• Itzykson. C.. Ising fermions (I). Two dimensions. Nuclear Physics B. 210. 4. 1982a. 448–476. 0550-3213. 10.1016/0550-3213(82)90173-0. 1982NuPhB.210..448I.
• Itzykson. C.. Ising fermions (II). Three dimensions. Nuclear Physics B. 210. 4. 1982b. 477–498. 0550-3213. 10.1016/0550-3213(82)90174-2. 1982NuPhB.210..477I.
• Book: Itzykson. C.. Perspectives on Solvable Models. 1995. 255–276. 10.1142/9789812831279_0017. https://www.ipht.fr/Docspht/articles/t94/001/public/publi.pdf. 978-981-02-2107-2. Counting Rational Curves on Rational Surfaces.

Notes and References

1. Brezin. E.. Édouard Brézin. Claude Itzykson. Physics Today. 49. 3. 1996. 125–126. 0031-9228. 10.1063/1.2807560. 1996PhT....49c.125B. free.
2. Web site: Zuber . J-B . Claude Georges Itzykson (1938–1995) . www.annales.org . Les Annales des Mines . https://archive.today/20130112065418/http://www.annales.org/archives/x/itzykson.html . 12 January 2013 . 1996 . 28 October 2018 . live .
3. Web site: Claude Itzykson . Institute for Advanced Study . 5 November 2018.
4. Book: Itzykson . Claude . Drouffe . Jean-Michel . Zuber . Jean Bernard . The mathematical beauty of physics : a memorial volume for Claude Itzykson . 1997 . World Scientific . Singapore . 978-9810228071. 97003545. 36260869.
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6. See for example and