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May 2003 Matrix Integrals and Feynman Diagrams in the Kontsevich Model
Domenico Fiorenza, Riccardo Murri
Adv. Theor. Math. Phys. 7(3): 525-576 (May 2003).


We review some relations occurring between the combinatorial intersection theory on the moduli spaces of stable curves and the asymptotic behavior of the 't Hooft-Kontsevich matrix integrals. In particular, we give an alternative proof of the Witten-Di~Francesco-Itzykson-Zuber theorem ---which expresses derivatives of the partition function of intersection numbers as matrix integrals--- using techniques based on diagrammatic calculus and combinatorial relations among intersection numbers. These techniques extend to a more general interaction potential.


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Domenico Fiorenza. Riccardo Murri. "Matrix Integrals and Feynman Diagrams in the Kontsevich Model." Adv. Theor. Math. Phys. 7 (3) 525 - 576, May 2003.


Published: May 2003
First available in Project Euclid: 4 April 2005

zbMATH: 1047.81060
MathSciNet: MR2030059

Rights: Copyright © 2003 International Press of Boston

Vol.7 • No. 3 • May 2003
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