Holographic trace anomaly at finite temperature

Details Holographic trace anomaly at finite temperature Holographic trace anomaly at finite temperature

2007-06-19

arxiv.org/abs/0706.2715v2

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures, JHEP style; comments and references are added

Scientific paper

We find an exact coordinate transformation rule from the $AdS_5$ Schwarzschild black hole in the Poincare and the global patch to the Fefferman-Graham coordinate system. Using these results, we evaluate the corresponding holographic stress tensor and trace anomaly of the boundary theory as a function of the radial coordinate. Following the AdS/CFT correspondence, we reinterpret the radial coordinate dependence of the trace anomaly as the Wilsonian renormalization group(RG) flow of the boundary theory.

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