Entanglement and confinement in lattice gauge theory tensor networks

Johannes Knaute*, Matan Feuerstein, Erez Zohar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We develop a transfer operator approach for the calculation of Rényi entanglement entropies in arbitrary (i.e. Abelian and non-Abelian) pure lattice gauge theory projected entangled pair states in 2+1 dimensions. It is explicitly shown how the long-range behavior of these quantities gives rise to an entanglement area law in both the thermodynamic limit and in the continuum. We numerically demonstrate the applicability of our method to the ℤ2 lattice gauge theory and relate some entanglement properties to the confinement-deconfinement transition therein. We provide evidence that Rényi entanglement entropies in certain cases do not provide a complete probe of (de)confinement properties compared to Wilson loop expectation values as other genuine (nonlocal) observables.

Original languageAmerican English
Article number174
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.


  • Algorithms and Theoretical Developments
  • Confinement
  • Gauge Symmetry
  • Other Lattice Field Theories


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