Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-03
PoSQG-Ph:013,2007
Physics
High Energy Physics
High Energy Physics - Theory
6 pages
Scientific paper
Using the fact that 2D Newton constant is wholly induced by a conformal field theory, we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking entropy S_{BH}, whereas the subleading term behaves as ln S_{BH}. This subleading term has the universal form typical for the entanglement entropy of physical systems described by effective conformal fields theories (e.g. one-dimensional statistical models at the critical point).
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