Entanglement Entropy of Large-NWilson-Fisher Conformal Field Theory
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CitationWhitsitt, Seth, William Witczak-Krempa, and Subir Sachdev. 2017. Entanglement Entropy of Large-NWilson-Fisher Conformal Field Theory. Physical Review B 95: 045148.
AbstractWe 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41288106
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