Entanglement Entropy of Large-NWilson-Fisher Conformal Field Theory
View/ Open
Published Version
https://doi.org/10.1103/physrevb.95.045148Metadata
Show full item recordCitation
Whitsitt, Seth, William Witczak-Krempa, and Subir Sachdev. 2017. Entanglement Entropy of Large-NWilson-Fisher Conformal Field Theory. Physical Review B 95: 045148.Abstract
We compute the entanglement entropy of the Wilson-Fisher conformal field theory (CFT) in 2+1 dimensions with O(N) symmetry in the limit of large N for general entanglement geometries. We show that the leading large-N result can be obtained from the entanglement entropy of N Gaussian scalar fields with their mass determined by the geometry. For a few geometries, the universal part of the entanglement entropy of the Wilson-Fisher CFT equals that of a CFT of N massless scalar fields. However, in most cases, these CFTs have a distinct universal entanglement entropy even at N=∞. Notably, for a semi-infinite cylindrical region it scales as N0 in the Wilson-Fisher theory, in stark contrast to the N-linear result of the Gaussian fixed point.Terms of Use
This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAPCitable link to this page
http://nrs.harvard.edu/urn-3:HUL.InstRepos:41288106
Collections
- FAS Scholarly Articles [18276]
Contact administrator regarding this item (to report mistakes or request changes)