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dc.contributor.author
Bueno, Pablo
dc.contributor.author
Casini, Horacio German
dc.contributor.author
Witczak-Krempa, William
dc.date.available
2021-01-05T13:50:24Z
dc.date.issued
2019-08
dc.identifier.citation
Bueno, Pablo; Casini, Horacio German; Witczak-Krempa, William; Generalizing the entanglement entropy of singular regions in conformal field theories; Springer; Journal of High Energy Physics; 2019; 8; 8-2019; 1-46
dc.identifier.uri
http://hdl.handle.net/11336/121479
dc.description.abstract
We study the structure of divergences and universal terms of the entanglement and Rényi entropies for singular regions. First, we show that for (3 + 1)-dimensional free conformal field theories (CFTs), entangling regions emanating from vertices give rise to a universal contribution Snuniv=−18πfb(n)∫γk2log2(R/δ), where γ is the curve formed by the intersection of the entangling surface with a unit sphere centered at the vertex, and k the trace of its extrinsic curvature. While for circular and elliptic cones this term reproduces the general-CFT result, it vanishes for polyhedral corners. For those, we argue that the universal contribution, which is logarithmic, is not controlled by a local integral, but rather it depends on details of the CFT in a complicated way. We also study the angle dependence for the entanglement entropy of wedge singularities in 3+1 dimensions. This is done for general CFTs in the smooth limit, and using free and holographic CFTs at generic angles. In the latter case, we show that the wedge contribution is not proportional to the entanglement entropy of a corner region in the (2 + 1)-dimensional holographic CFT. Finally, we show that the mutual information of two regions that touch at a point is not necessarily divergent, as long as the contact is through a sufficiently sharp corner. Similarly, we provide examples of singular entangling regions which do not modify the structure of divergences of the entanglement entropy compared with smooth surfaces.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ADS-CFT CORRESPONDENCE
dc.subject
CONFORMAL FIELD THEORY
dc.subject.classification
Física de Partículas y Campos
dc.subject.classification
Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Generalizing the entanglement entropy of singular regions in conformal field theories
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-12-16T18:16:53Z
dc.identifier.eissn
1029-8479
dc.journal.volume
2019
dc.journal.number
8
dc.journal.pagination
1-46
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Bueno, Pablo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.description.fil
Fil: Casini, Horacio German. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
dc.description.fil
Fil: Witczak-Krempa, William. University of Montreal; Canadá
dc.journal.title
Journal of High Energy Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/JHEP08(2019)069
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2FJHEP08%282019%29069
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