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 -theorem for deformed Lifshitz theories.
- Authors:
-
- Harvard University
- Bariloche Atomic Centre
- University of Utrecht
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1409118
- Grant/Contract Number:
- FG02-91ER40654
- Resource Type:
- 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:
- Netherlands
- Language:
- English
Citation Formats
He, Temple, Magan, Javier, and Vandoren, Stefan. Entanglement Entropy in Lifshitz Theories. Netherlands: N. p., 2017.
Web. doi:10.21468/SciPostPhys.3.5.034.
He, Temple, Magan, Javier, & Vandoren, Stefan. Entanglement Entropy in Lifshitz Theories. Netherlands. https://doi.org/10.21468/SciPostPhys.3.5.034
He, Temple, Magan, Javier, and Vandoren, Stefan. Thu .
"Entanglement Entropy in Lifshitz Theories". Netherlands. https://doi.org/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 = {Netherlands},
year = {Thu Nov 16 00:00:00 EST 2017},
month = {Thu Nov 16 00:00:00 EST 2017}
}
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https://doi.org/10.21468/SciPostPhys.3.5.034
https://doi.org/10.21468/SciPostPhys.3.5.034
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Cited by: 19 works
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