| Full text | |
| Author(s): |
Prudenziati, Andrea
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Physical Review D; v. 91, n. 10, p. 19-pg., 2015-05-19. |
| Abstract | |
We study the analytic continuation used by Lewkowycz and Maldacena to prove the Ryu-Takayanagi formula for entanglement entropy, which is the holographic dual of the trace of the beta-power of the Euclidean time evolution operator when beta is an element of R. This will be done perturbatively using a weakly time dependent Hamiltonian, corresponding to a small shift of the dual static background. The perturbation will be set to either satisfy the Lewkowycz-Maldacena proposal or a different analytic continuation, depending on its periodicity conditions. The two choices will be tested by computing the associated entropies and compared to the Ryu-Takayanagi formula. To our surprise we discover that, at first order, they both correctly reproduce the associated entanglement entropy. Furthermore in both cases we find unexpected divergent contributions that we have to discard in order to fit the minimal area computation, and an additional requirement on the beta dependence on the metric. (AU) | |
| FAPESP's process: | 13/10460-9 - Holographic study of non local observables in supersymmetric gauge theories through their description as minimal surfaces in the bulk: analysis, comparison and properties |
| Grantee: | Andrea Prudenziati |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |