Seminar----Institute of Theoretical Physics，Chinese Academy of Sciences

CAS Key Laboratory of Theoretical Physics
Institute of Theoretical Physics
Chinese Academy of Sciences
Seminar
Title 题目	Renormalization Group Approach to Matrix Models
Speaker 报告人	Prof. Jean Zinn-Justin
Affiliation 所在单位	CEA, France
Date 日期	3:30pm, Nov 08, 2017, Wednesday
Venue 地点	Room 6620, ITP NEW BUILDING
Abstract 摘要	The study of the statistical properties of random matrices of large size has a long history. For example, Wigner used Gaussian ensembles to describe statistically the spectrum of complex Hamiltonians and derived the famous semi-circle law. 't Hooft noticed that, in SU(N) non-Abelian gauge theories, tessalated surfaces can be associated to Feynman diagrams and that the large N expansion is an expansion in successive topologies. Later, some ensembles of random matrices in the large size and the so-called double scaling limit were used as toy models for 2D quantum gravity coupled to conformal matter and string theory or as examples of statistical models on some random surfaces. This has resulted in a tremendous development of random matrix theory, tackled with increasingly sophisticated mathematical methods and number of matrix models have been solved exactly. However, many matrix problems remain unsolved. Since the solved models exhibit critical points and universal properties, it is tempting to try renormalization group (RG) ideas with the goal of determining universal properties, without solving models explicitly (Brézin, Zinn-Justin 1992, Zinn-Justin 2014).
Contact person 所内联系人	Chushun Tian