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Title: Entanglement Entropy in Lifshitz Theories

We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free Lifshitz scalar field theories with arbitrary dynamical exponents. We consider both the subinterval and periodic sublattices in the discretized theory as subsystems. In both cases, we are able to analytically demonstrate that the EE grows linearly as a function of the dynamical exponent. Furthermore, for the subinterval case, we determine that as the dynamical exponent increases, there is a crossover from an area law to a volume law. Lastly, we deform Lifshitz field theories with certain relevant operators and show that the EE decreases from the ultraviolet to the infrared fixed point, giving evidence for a possible c c -theorem for deformed Lifshitz theories.
Authors:
 [1] ;  [2] ;  [3]
  1. Harvard University
  2. Bariloche Atomic Centre
  3. University of Utrecht
Publication Date:
Grant/Contract Number:
FG02-91ER40654
Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Volume: 3; Journal Issue: 5; Related Information: CHORUS Timestamp: 2018-07-23 03:38:47; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English
OSTI Identifier:
1409118