Effective AdS/renormalized CFT

被引:6
作者
Fan, JiJi [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08540 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 09期
关键词
AdS-CFT Correspondence; Renormalization Regularization and Renormalons; OPERATOR PRODUCT EXPANSION; DE-SITTER-SPACE; THEORY CORRELATORS; 4-POINT FUNCTIONS; RENORMALIZATION; ADS/CFT; ADS; EXCHANGE;
D O I
10.1007/JHEP09(2011)136
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
For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory at O(1/N-2). In particular, we define anomalous dimension holographically as the dependence of the wave-function renormalization factor on the radial cutoff in the Poincare patch of AdS. With this definition, the anomalous dimensions of both single-and double-trace operators are calculated. Three different dualities are considered with the field theory being CFT, CFT with a double-trace deformation and spontaneously broken CFT. For the second dual pair, we compute scaling corrections at the UV and IR fixed points of the RG flow triggered by the double-trace deformation. For the last case, we discuss whether our prescription is sensitive to the AdS interior or equivalently, the IR physics of the dual field theory.
引用
收藏
页数:20
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