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On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field

Nina Javerzat
•
Erik Tonni
2022
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
Abstract
We study the continuum limit of the entanglement Hamiltonian of a sphere for the massless scalar field in its ground state by employing the lattice model defined through the discretisation of the radial direction. In two and three spatial dimensions and for small values of the total angular momentum, we find numerical results in agreement with the corresponding ones derived from the entanglement Hamiltonian predicted by conformal field theory. When the mass parameter in the lattice model is large enough, the dominant contributions come from the on-site and the nearest-neighbour terms, whose weight functions are straight lines.
DOI
10.1007/JHEP02(2022)086
WOS
WOS:000755137400004
Archivio
https://hdl.handle.net/20.500.11767/131895
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85124962126
http://arxiv.org/abs/2111.05154v1
https://ricerca.unityfvg.it/handle/20.500.11767/131895
Diritti
open access
Soggetti
  • Field Theories in Hig...

  • Lattice Quantum Field...

  • Conformal Field Theor...

  • Physics - Statistical...

  • Physics - Statistical...

  • High Energy Physics -...

  • Settore FIS/02 - Fisi...

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