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Short distance properties of cascading gauge theories

Ofer Aharony1, Alex Buchel2,3,4 and Amos Yarom5

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We study the short distance (large momentum) properties of correlation functions of cascading gauge theories by performing a tree-level computation in their dual gravitational background. We prove that these theories are holographically renormalizable; the correlators have only analytic ultraviolet divergences, which may be removed by appropriate local counterterms. We find that n-point correlation functions of properly normalized operators have the expected scaling in the semi-classical gravity (large N) limit: they scale as Neff2−n with Neffproptoln (k/Λ) where k is a typical momentum. Our analysis thus confirms the interpretation of the cascading gauge theories as renormalizable four-dimensional quantum field theories with an effective number of degrees of freedom which logarithmically increases with the energy.

Keywords

AdS-CFT and dS-CFT Correspondence

Gauge-gravity correspondence

 

E-print Number: hep-th/0608209

Cited: by |

Refers: to

PACS

11.15.Kc Classical and semiclassical techniques

11.10.Gh Renormalization

04.65.+e Supergravity

11.25.Uv D branes

04.25.-g Approximation methods; equations of motion

11.25.Mj Compactification and four-dimensional models

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 11 (November 2006)

Received 11 September 2006, accepted for publication 29 October 2006

Published 24 November 2006



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