On the logarithmic divergent part of entanglement entropy, smooth versus singular regions

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• 作者：Harald Dorn ^{dorn@physik.hu-berlin.de}
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 December 2016
• 年：2016
• 卷：763
• 期：Complete
• 页码：134-138
• 全文大小：249 K
• 卷排序：763

文摘

The entanglement entropy for smooth regions AA has a logarithmic divergent contribution with a shape dependent coefficient and that for regions with conical singularities an additional log2log2 term. Comparing the coefficient of this extra term, obtained by direct holographic calculation for an infinite cone, with the corresponding limiting case for the shape dependent coefficient for a regularised cone, a mismatch by a factor two has been observed in the literature. We discuss several aspects of this issue. In particular a regularisation of AA, intrinsically delivered by the holographic picture, is proposed and applied to an example of a compact region with two conical singularities. Finally, the mismatch is removed in all studied regularisations of AA, if equal scale ratios are chosen for the limiting procedure.