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Advances in High Energy Physics
Volume 2010 (2010), Article ID 103630, 43 pages
http://dx.doi.org/10.1155/2010/103630
Review Article

Holographic Renormalization of Two-Point Functions in Non-AdS/Non-CFT

1Department für Physik, Arnold Sommerfeld Zentrum für Theoretische Physik, Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 München, Germany
2Dipartimento di Scienze Fisiche, Università di Napoli “Federico II” and INFN, Sezione di Napoli, Via Cintia, 80126 Napoli, Italy

Received 19 April 2010; Accepted 14 September 2010

Academic Editor: Leopoldo P. Zayas

Copyright © 2010 Michael Haack and Wolfgang Mück. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We review recent progress on holographic renormalization in the context of the gauge-gravity correspondence when the bulk geometry is not asymptotically AdS. The prime example is the Klebanov-Strassler background, whose dual gauge theory has logarithmically running couplings at all energy scales. The presented formalism provides the counterterms necessary for obtaining finite two-point functions of the scalar operators in the corresponding dual gauge theories. The presentation is self-contained and reviews all the relevant background material concerning a gauge-invariant description of the fluctuations around holographic renormalization group backgrounds.