Geometric entropy and hagedorn/deconfinement transition

Geometric entropy and hagedorn/deconfinement transition
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DOI:
10.1088/1126-6708/2008/09/016
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发表时间:
2008-06
影响因子:
5.4
通讯作者:
Mitsutoshi Fujita;T. Nishioka;T. Takayanagi
Mitsutoshi Fujita;T. Nishioka;T. Takayanagi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Mitsutoshi Fujita;T. Nishioka;T. Takayanagi

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最近有人提出纠缠熵可以作为禁闭/解除禁闭跃迁的序参量。为了找到一个明确的证据,我们引入了一个新的量,称为几何熵,它是通过一个双威克旋转的纠缠熵。我们分析了几何熵,明确地表明在自由= 4的超杨-米尔斯体系和它的超引力对偶体系中,几何熵在哈格多恩温度下变得不连续。
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 = 4 super Yang-Mills and in its supergravity dual.