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Short distance properties of cascading gauge theories

Ofer Aharony·Alex Buchel·Amos Yarom
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Abstract

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 N_{eff}^{2-n} with N_{eff} proportional to ln(k/Lambda) 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.

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Ofer Aharony, Alex Buchel, Amos Yarom. 2006-08-29. Short distance properties of cascading gauge theories. https://doi.org/10.1088/1126-6708%2F2006%2F11%2F069

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