TY - JOUR
T1 - Entanglement renormalization and integral geometry
AU - Huang, Xing
AU - Lin, Feng Li
N1 - Publisher Copyright:
© 2015, The Author(s).
PY - 2015/12/1
Y1 - 2015/12/1
N2 - Abstract: We revisit the applications of integral geometry in AdS3 and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive entanglement density. From the renormalization of the entanglement contour, we can holographically understand the operations of disentangler and isometry in multi-scale entanglement renormalization ansatz. Furthermore, a renormalization group equation of the long-distance entanglement contour is then derived. We then generalize this integral geometric construction to higher dimensions and in particular demonstrate how it works in bulk space of homogeneity and isotropy.
AB - Abstract: We revisit the applications of integral geometry in AdS3 and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive entanglement density. From the renormalization of the entanglement contour, we can holographically understand the operations of disentangler and isometry in multi-scale entanglement renormalization ansatz. Furthermore, a renormalization group equation of the long-distance entanglement contour is then derived. We then generalize this integral geometric construction to higher dimensions and in particular demonstrate how it works in bulk space of homogeneity and isotropy.
KW - AdS-CFT Correspondence
KW - Holography and condensed matter physics (AdS/CMT)
KW - Renormalization Group
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U2 - 10.1007/JHEP12(2015)081
DO - 10.1007/JHEP12(2015)081
M3 - Article
AN - SCOPUS:84950310117
SN - 1126-6708
VL - 2015
SP - 1
EP - 35
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 81
ER -