Entanglement entropy: a perturbative calculation

Vladimir Rosenhaus, Michael Smolkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

76 Scopus citations


Abstract: We provide a framework for a perturbative evaluation of the reduced density matrix. The method is based on a path integral in the analytically continued spacetime. It suggests an alternative to the holographic and ‘standard’ replica trick calculations of entanglement entropy. We implement this method within solvable field theory examples to evaluate leading order corrections induced by small perturbations in the geometry of the background and entangling surface. Our findings are in accord with Solodukhin’s formula for the universal term of entanglement entropy for four dimensional CFTs.

Original languageAmerican English
Article number179
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014, The Author(s).


  • Nonperturbative Effects
  • Statistical Methods


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