Entanglement entropy, planar surfaces, and spectral functions

Vladimir Rosenhaus, Michael Smolkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Abstract: We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a relevant operator, providing a pertrubative expansion where the terms are correlation functions in the undeformed theory. The entanglement entropy for free massive fermions and scalars easily follows. Finally, we study entanglement entropy across a plane in a background geometry that is a deformation of flat space, finding new universal terms arising from mixing of geometry and couplings of the QFT.

Original languageAmerican English
Article number119
Pages (from-to)1-21
Number of pages21
JournalJournal of High Energy Physics
Volume2014
Issue number9
DOIs
StatePublished - Sep 2014
Externally publishedYes

Bibliographical note

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

Keywords

  • Nonperturbative Effects
  • Statistical Methods

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