报告题目: |
高等研究院杰出学人讲座:RENORMALIZATION GROUP APPROACH TO MATRIX MODELS |
报告人: |
Prof. JEAN ZINN-JUSTIN |
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CEA, Centre de Saclay, France
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报告时间: |
2014-10-28 15:00 |
报告地点: |
清华大学高等研究院(科学馆)一楼104报告厅 |
主办单位: |
高等研究院 |
简介: |
In the late eighties, it was realized that some ensembles of random matrices in the large size and the so-called double scaling limit could be used as toy models for 2D quantum gravity coupled to conformal matter or as examples of statistical models on some kind of 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, the somewhat paradoxical situation is that either models can be solved exactly or little can be said. Since the solved models exhibit critical points and universal properties, it was tempting to use renormalization group (RG) ideas to determine universal properties, without solving models explicitly. This can be done in various approximation schemes that I shall describe. |
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