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Entanglement entropy in generalised quantum Lifshitz models

Entanglement entropy in generalised quantum Lifshitz models


Title: Entanglement entropy in generalised quantum Lifshitz models
Author: Angel Ramelli, Juan Fernando   orcid.org/0000-0002-0799-6416
Giangreco Puletti, Valentina   orcid.org/0000-0003-1147-8643
Thorlacius, Larus   orcid.org/0000-0002-8180-9607
Date: 2019-08-01
Language: English
Scope: 72
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2019(8)
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2019)072
Subject: Conformal Field Theory; Field Theories in Higher Dimensions; Eðlisfræði; Skammtafræði; víddir
URI: https://hdl.handle.net/20.500.11815/1660

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Citation:

Angel-Ramelli, J., Puletti, V.G.M. & Thorlacius, L. Entanglement entropy in generalised quantum Lifshitz models. Journal of High Energy Physics. 2019, 72 (2019). https://doi.org/10.1007/JHEP08(2019)072

Abstract:

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical critical exponent z equals the number of spatial dimensions d, and which generalise the 2+1-dimensional quantum Lifshitz model to higher dimensions. We analyse two cases: one where the spatial manifold is a d-dimensional sphere and the entanglement entropy is evaluated for a hemisphere, and another where a d-dimensional flat torus is divided into two cylinders. In both examples the finite universal terms in the entanglement entropy are scale invariant and depend on the compactification radius of the scalar field.

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