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arXiv · 0806.3118

Geometric Entropy and Hagedorn/Deconfinement Transition

Mitsutoshi Fujita·Tatsuma Nishioka·Tadashi Takayanagi
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Abstract

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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Mitsutoshi Fujita, Tatsuma Nishioka, Tadashi Takayanagi. 2008-06-26. Geometric Entropy and Hagedorn/Deconfinement Transition. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F016

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