Abstract
We study entanglement entropy in free Lifshitz scalar field theories holographically by employing the metrics proposed by Nozaki, Ryu and Takayanagi in [1] obtained from a continuous multi-scale entanglement renormalisation ansatz (cMERA). In these geometries we compute the minimal surface areas governing the entanglement entropy as functions of the dynamical exponent z and we exhibit a transition from an area law to a volume law analytically in the limit of large z. We move on to explore the effects of a massive deformation, obtaining results for any z in arbitrary dimension. We then trigger a renormalisation group flow between a Lifshitz theory and a conformal theory and observe a monotonic decrease in entanglement entropy along this flow. We focus on strip regions but also consider a disc in the undeformed theory.
| Original language | English |
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| Article number | 13 |
| Journal | Journal of High Energy Physics |
| Volume | 2018 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1 Jul 2018 |
Funding
It is our pleasure to thank Temple He, Javier Magán, Ali Mollabashi, Aurelio Romero-Bermúdez, Philippe Sabella-Garnier and William Witczak-Krempa for useful and enjoyable discussions and correspondence. This work was supported in part by the Delta-Institute for Theoretical Physics (D-ITP) that is funded by the Dutch Ministry of Education, Culture and Science (OCW).
Keywords
- Conformal Field Theory
- Field Theories in Lower Dimensions
- Holography and condensed matter physics (AdS/CMT)