We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression for the entanglement entropy of (1+1)-dimensional Lifshitz field theories - this is done both at zero and finite temperature. Based on these results, we pose a conjecture for the anomaly coefficient of a Lifshitz field theory dual to new massive gravity. It is found that the Lifshitz entanglement entropy at finite temperature displays a striking similarity with that corresponding to a flat space cosmology in three dimensions. We claim that this structure is an inherent feature of the entanglement entropy for nonrelativistic conformal field theories. We finish by exploring the behavior of the mutual information for such theories.

Hosseini, S., Véliz Osorio, Á. (2016). Entanglement and mutual information in two-dimensional nonrelativistic field theories. PHYSICAL REVIEW D, 93(2) [10.1103/PhysRevD.93.026010].

Entanglement and mutual information in two-dimensional nonrelativistic field theories

HOSSEINI, SEYEDMORTEZA
Primo
;
2016

Abstract

We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression for the entanglement entropy of (1+1)-dimensional Lifshitz field theories - this is done both at zero and finite temperature. Based on these results, we pose a conjecture for the anomaly coefficient of a Lifshitz field theory dual to new massive gravity. It is found that the Lifshitz entanglement entropy at finite temperature displays a striking similarity with that corresponding to a flat space cosmology in three dimensions. We claim that this structure is an inherent feature of the entanglement entropy for nonrelativistic conformal field theories. We finish by exploring the behavior of the mutual information for such theories.
Articolo in rivista - Articolo scientifico
Entanglement entropy, Lifshitz holography, AdS/CFT correspondence
English
2016
93
2
026010
none
Hosseini, S., Véliz Osorio, Á. (2016). Entanglement and mutual information in two-dimensional nonrelativistic field theories. PHYSICAL REVIEW D, 93(2) [10.1103/PhysRevD.93.026010].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/131356
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