


Renormalization Group Approach to Matrix Models 
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 ZinnJustin  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 semicircle law. 't Hooft noticed that, in SU(N) nonAbelian 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 socalled 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, ZinnJustin 1992, ZinnJustin 2014).  Contact person 所内联系人  Chushun Tian  


