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Comments on defining entanglement entropy

Nuclear physics. B, 2020-09, Vol.958 (C), p.115118, Article 115118 [Peer Reviewed Journal]

2020 The Author(s) ;ISSN: 0550-3213 ;EISSN: 1873-1562 ;DOI: 10.1016/j.nuclphysb.2020.115118

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  • Title:
    Comments on defining entanglement entropy
  • Author: Lin, Jennifer ; Radičević, Đorđe
  • Is Part Of: Nuclear physics. B, 2020-09, Vol.958 (C), p.115118, Article 115118
  • Description: We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge theories alike, we give precise path integral expressions for three known types of entanglement entropy that we call full, distillable, and gauge-invariant. For a class of gauge theories that do not necessarily have a regularization in our framework, including Chern-Simons theory, we describe a related approach to defining entropies based on locally extending the Hilbert space at the entangling edge, and we discuss its connections to other calculational prescriptions. Based on results from both approaches, we conjecture that it is always the full entanglement entropy that is calculated by standard holographic techniques in strongly coupled conformal theories.
  • Publisher: Netherlands: Elsevier B.V
  • Language: English
  • Identifier: ISSN: 0550-3213
    EISSN: 1873-1562
    DOI: 10.1016/j.nuclphysb.2020.115118
  • Source: DOAJ Directory of Open Access Journals
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