MATRIX MODEL-CALCULATIONS BEYOND THE SPHERICAL LIMIT

被引:190
作者
AMBJORN, J
CHEKHOV, L
KRISTJANSEN, CF
MAKEENKO, Y
机构
[1] UNIV PARIS 06, LPTHE, F-75252 PARIS 05, FRANCE
[2] STEKLOV MATH INST, MOSCOW 117966, RUSSIA
[3] INST THEORET & EXPTL PHYS, MOSCOW 117259, RUSSIA
关键词
D O I
10.1016/0550-3213(93)90476-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We propose an improved iterative scheme for calculating higher genus contributions to the multi-loop (or multi-point) correlators and the partition function of the hermitian one matrix model. We present explicit results up to genus two. We develop a version which gives directly the result in the double scaling limit and present explicit results up to genus four. Using the latter version we prove that the hermitian and the complex matrix model are equivalent in the double scaling limit and that in this limit they are both equivalent to the Kontsevich model. We discuss how our results away from the double scaling limit are related to the structure of moduli space.
引用
收藏
页码:127 / 172
页数:46
相关论文
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