ar X iv : h ep - t h / 05 07 22 8 v 2 2 8 M ar 2 00 6 1 Is entanglement entropy proportional to area ?
نویسنده
چکیده
It is known that the entanglement entropy of a scalar field, found by tracing over its degrees of freedom inside a sphere of radius R, is proportional to the area of the sphere (and not its volume). This suggests that the origin of black hole entropy, also proportional to its horizon area, may lie in the entanglement between the degrees of freedom inside and outside the horizon. We examine this proposal carefully by including excited states, to check probable deviations from the area law. PACS Nos.:04.60.-m,04.62.,04.70.-s,03.65.Ud Résumé : Nous savons que l’entropie d’entrelacement d’un champ scalaire, trouvée en suivant ses degrés de liberté à l’intérieur d’une sphère de rayon R, est proportionelle à la surface de la sphère (et non à son volume). Ceci suggère que l’origine de l’entropie d’un trou noir, également proportionelle à la surface de son horizon, peut se trouver dans l’entrelacement entre les degrés de liberté à l’intérior et à l’extérior de l’horizon. Nous examinons avec soin cette hypothèse, en incluant les états excités, afin d’identifier les déviations possibles de la loi de surface. [Traduit par la rédaction]
منابع مشابه
ar X iv : h ep - t h / 05 07 22 8 v 1 2 3 Ju l 2 00 5 1 Is entanglement entropy proportional to area ?
It is known that the entanglement entropy of a scalar field, found by tracing over its degrees of freedom inside a sphere of radius R, is proportional to the area of the sphere (and not its volume). This suggests that the origin of black hole entropy, also proportional to its horizon area, may lie in the entanglement between the degrees of freedom inside and outside the horizon. We examine this...
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تاریخ انتشار 2006