Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-12
Phys.Lett. B507 (2001) 270-276
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 2 figures
Scientific paper
10.1016/S0370-2693(01)00172-1
The causal entropy bound (CEB) is confronted with recent explicit entropy calculations in weakly and strongly coupled conformal field theories (CFTs) in arbitrary dimension $D$. For CFT's with a large number of fields, $N$, the CEB is found to be valid for temperatures not exceeding a value of order $M_P/N^{{1\over D-2}}$, in agreement with large $N$ bounds in generic cut-off theories of gravity, and with the generalized second law. It is also shown that for a large class of models including high-temperature weakly coupled CFT's and strongly coupled CFT's with AdS duals, the CEB, despite the fact that it relates extensive quantities, is equivalent to (a generalization of) a purely holographic entropy bound proposed by E. Verlinde.
Brustein Ram
Foffa Stefano
Veneziano Gabriele
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