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Title: Entanglement Entropy in Lifshitz Theories

Abstract

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:
Sponsoring Org.:
USDOE
OSTI Identifier:
1409118
Grant/Contract Number:  
FG02-91ER40654
Resource Type:
Journal Article: Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 3 Journal Issue: 5; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

He, Temple, Magan, Javier, and Vandoren, Stefan. Entanglement Entropy in Lifshitz Theories. Country unknown/Code not available: N. p., 2017. Web. doi:10.21468/SciPostPhys.3.5.034.
He, Temple, Magan, Javier, & Vandoren, Stefan. Entanglement Entropy in Lifshitz Theories. Country unknown/Code not available. doi:10.21468/SciPostPhys.3.5.034.
He, Temple, Magan, Javier, and Vandoren, Stefan. Thu . "Entanglement Entropy in Lifshitz Theories". Country unknown/Code not available. doi:10.21468/SciPostPhys.3.5.034.
@article{osti_1409118,
title = {Entanglement Entropy in Lifshitz Theories},
author = {He, Temple and Magan, Javier and Vandoren, Stefan},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.3.5.034},
journal = {SciPost Physics},
number = 5,
volume = 3,
place = {Country unknown/Code not available},
year = {Thu Nov 16 00:00:00 EST 2017},
month = {Thu Nov 16 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.21468/SciPostPhys.3.5.034

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