Spectral Functions in Holographic Renormalization Group Flows

Details Spectral Functions in Holographic Renormalization Group Flows Spectral Functions in Holographic Renormalization Group Flows

2008-11-13

arxiv.org/abs/0811.2072v2

JHEP 0901:060,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures v2: added referenes

Scientific paper

10.1088/1126-6708/2009/01/060

The spectrum of two-point functions in a holographic renormalization group flow from an ultraviolet (UV) to an infrared (IR) conformal fixed point is necessarily continuous. For a toy model, the spectral function does not only show the expected UV and IR behaviours, but other interesting features such as sharp peaks and oscillations in the UV. The spectral functions for the SU(3)xU(1) flow in AdS_4/CFT_3 and the SU(2)xU(1) flow in AdS_5/CFT_4 are calculated numerically. They exhibit a simple cross-over behaviour and reproduce the conformal dimensions of the dual operators in the UV and IR conformal phases.

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