AdS/CFT four-point functions:: How to succeed at z-integrals without really trying

被引:138
作者
D'Hoker, E [1 ]
Freedman, DZ
Rastelli, L
机构
[1] Univ Calif Los Angeles, Dept Phys, Los Angeles, CA 90095 USA
[2] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
[3] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[4] MIT, Dept Math, Cambridge, MA 02139 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(99)00526-X
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
A new method is discussed which vastly simplifies one of the two integrals over AdS(d+1), required to compute exchange graphs for four-point functions of scalars in the AdS/CFT correspondence. The explicit form of the bulk-to-bulk propagator is not required. Previous results for scalar, gauge boson and graviton exchange are reproduced, and new results are given for massive vectors, It is found that precisely for the cases that occur in the AdS(5) x S-5 compactification of Type IIB supergravity, the exchange diagrams reduce to a finite sum of graphs with quartic scalar vertices, The analogous integrals in n-point scalar diagrams for n > 4 are also evaluated. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:395 / 411
页数:17
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