Calabrese-Cardy纠缠熵的时空计算
A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy
摘要:
计算了二维圆柱时空中互补区域高斯标量场的Sorkin时空纠缠熵,并证明了它具有Calabrese-Cardy形式.我们发现当我们使用协变UV截止时,截止依赖项是普适的。此外,我们表明,相对大小依赖项具有互补性。然而,它的系数不是普适的,并且取决于纯态的选择。它在纯态的自然类中渐近于普适形式。
英文摘要:
We calculate Sorkin's spacetime entanglement entropy of a Gaussian scalar field for complementary regions in the 2d cylinder spacetime and show that it has the Calabrese-Cardy form. We find that the cut-off dependent term is universal when we use a covariant UV cut-off. In addition, we show that the relative size-dependent term exhibits complementarity. Its coefficient is however not universal and depends on the choice of pure state. It asymptotes to the universal form within a natural class of pure states.
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