Holographic renormalization of cascading gauge theories

被引:77
作者
Aharony, O [1 ]
Buchel, A
Yarom, A
机构
[1] Weizmann Inst Sci, Dept Particle Phys, IL-76100 Rehovot, Israel
[2] Perimeter Inst Theoret Phys, Waterloo, ON N2J 2W9, Canada
[3] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
[4] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel
来源
PHYSICAL REVIEW D | 2005年 / 72卷 / 06期
关键词
D O I
10.1103/PhysRevD.72.066003
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We perform a holographic renormalization of cascading gauge theories. Specifically, we find the counterterms that need to be added to the gravitational action of the backgrounds dual to the cascading theory of Klebanov and Tseytlin, compactified on an arbitrary four-manifold, in order to obtain finite correlation functions (with a limited set of sources). We show that it is possible to truncate the action for deformations of this background to a five-dimensional system coupling together the metric and four scalar fields. Somewhat surprisingly, despite the fact that these theories involve an infinite number of high-energy degrees of freedom, we find finite answers for all one-point functions (including the conformal anomaly). We compute explicitly the renormalized stress tensor for the cascading gauge theories at high temperature and show how our finite answers are consistent with the infinite number of degrees of freedom. Finally, we discuss ambiguities appearing in the holographic renormalization we propose for the cascading gauge theories; our finite results for the one-point functions have some ambiguities in curved space (including the conformal anomaly) but not in flat space.
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页数:30
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