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Entanglement entropy in generalised quantum Lifshitz models

  • J. Angel-Ramelli
  • V. Giangreco M. PulettiEmail author
  • L. Thorlacius
Open Access
Regular Article - Theoretical Physics
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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.

Keywords

Conformal Field Theory Field Theories in Higher Dimensions 

Notes

Open Access

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© The Author(s) 2019

Authors and Affiliations

  • J. Angel-Ramelli
    • 1
  • V. Giangreco M. Puletti
    • 1
    Email author
  • L. Thorlacius
    • 1
    • 2
  1. 1.University of Iceland, Science InstituteReykjavíkIceland
  2. 2.The Oskar Klein Centre for Cosmoparticle Physics & Department of PhysicsStockholm UniversityStockholmSweden

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