Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-19
Nucl.Phys.B815:215-239,2009
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, v2: reference added, small changes
Scientific paper
10.1016/j.nuclphysb.2009.02.018
A step is made towards generalizing the method of holographic renormalization to backgrounds which are not asymptotically AdS, corresponding to a dual gauge theory which has logarithmically running couplings even in the ultraviolet. A prime example is the background of Klebanov-Strassler (KS). In particular, a recipe is given how to calculate renormalized two-point functions for the operators dual to the bulk scalars. The recipe makes use of gauge-invariant variables for the fluctuations around the background and works for any bulk theory of the fake supergravity type. It elegantly incorporates the renormalization scheme dependence of local terms in the correlators. Before applying the method to the KS theory, it is verified that known results in asymptotically AdS backgrounds are reproduced. Finally, some comments on the calculation of renormalized vacuum expectation values are made.
Borodatchenkova Natalia
Haack Michael
Mueck Wolfgang
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