Geometric Entropy and Hagedorn/Deconfinement Transition

Details Geometric Entropy and Hagedorn/Deconfinement Transition Geometric Entropy and Hagedorn/Deconfinement Transition

2008-06-19

arxiv.org/abs/0806.3118v2

JHEP0809:016,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures, v2: reference added

Scientific paper

10.1088/1126-6708/2008/09/016

It has recently been proposed that the entanglement entropy can be an order parameter of confinement/deconfinement transitions. To find a clear evidence, we introduce a new quantity called the geometric entropy, which is related to the entanglement entropy via a double Wick rotation. We analyze the geometric entropy and manifestly show that its value becomes discontinuous at the Hagedorn temperature both in the free N =4 super Yang-Mills and in its supergravity dual.

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