Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-02-10
Phys.Rev.D79:126003,2009
Physics
High Energy Physics
High Energy Physics - Theory
21 pages; v2: minor corrections, results unchanged; v3: typos corrected
Scientific paper
10.1103/PhysRevD.79.126003
We express the Noether charge entropy density of a black brane in anti-deSitter space in terms of local operators in the anti-deSitter space bulk. We find that Wald's expression for the Noether charge entropy needs to be modified away from the horizon by an additional term that vanishes on the horizon. We then determine the field theory dual of the Noether charge entropy for theories that asymptote to Einstein theory. We do so by calculating the value of the entropy density at the anti-deSitter space boundary and applying the standard rules of the AdS/CFT correspondence. We interpret the variation of the entropy density operator from the horizon to the boundary as due to the renormalization of the effective gravitational couplings as they flow from the ultra-violet to the infra-red. We discuss the cases of Einstein-Hilbert theory and f(R) theories in detail and make general comments about more complicated cases.
Brustein Ram
Gorbonos Dan
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