Conformal four point functions and the operator product expansion

被引：472

作者：

Dolan, FA ^{[1
]}

Osborn, H ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

来源：

NUCLEAR PHYSICS B | 2001年 / 599卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

conformal field theory; operator product expansion; four point function;

D O I：

10.1016/S0550-3213(01)00013-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：

Various aspects of the four point function for scalar fields in conformally invariant theories are analysed. This depends on an arbitrary function of two conformal invariants u. v. A recurrence relation for the function corresponding to the contribution of an arbitrary spin field in the operator product expansion to the four point function is derived. This is solved explicitly in two and four dimensions in terms of ordinary hypergeometric functions of variables z, x which are simply related to u, v. The operator product expansion analysis is applied to the explicit expressions for the four point function found for free scalar, fermion and vector held theories in four dimensions. The results for four point functions obtained by using the AdS/CFT correspondence are also analysed in terms of functions related to those appearing in the operator product discussion. (C) 2001 Elsevier Science B.V. FLU rights reserved.

引用

页码：459 / 496

页数：38

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