Journal of High Energy Physics

, 2015:69 | Cite as

On the entanglement entropy for gauge theories

  • Sudip Ghosh
  • Ronak M Soni
  • Sandip P. Trivedi
Open Access
Regular Article - Theoretical Physics


We propose a definition for the entanglement entropy of a gauge theory on a spatial lattice. Our definition applies to any subset of links in the lattice, and is valid for both Abelian and Non-Abelian gauge theories. For \( {\mathbb{Z}}_N \) and U(1) theories, without matter, our definition agrees with a particular case of the definition given by Casini, Huerta and Rosabal. We also argue that in general, both for Abelian and Non-Abelian theories, our definition agrees with the entanglement entropy calculated using a definition of the replica trick. Our definition, however, does not agree with some standard ways to measure entanglement, like the number of Bell pairs which can be produced by entanglement distillation.


Lattice Gauge Field Theories Gauge Symmetry 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Sudip Ghosh
    • 1
  • Ronak M Soni
    • 2
  • Sandip P. Trivedi
    • 2
  1. 1.International Centre for Theoretical SciencesTata Institute of Fundamental Research, IISc CampusBangaloreIndia
  2. 2.Department of Theoretical PhysicsTata Institute of Fundamental ResearchMumbaiIndia

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