Probing renormalization group flows using entanglement entropy
Name
Liu-2014-Probing renormalizat.pdf
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Author(s)
Liu, Hong
Mezei, Mark Koppany
Date Issued
January 2014
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Liu, Hong, and Mark Mezei. “Probing Renormalization Group Flows Using Entanglement Entropy.” J. High Energ. Phys. 2014, no. 1 (January 2014).
Version
Final published version
Abstract
In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic geometry, enable us to extract the large radius expansion of the entanglement entropy for a spherical region. We show that for both a sphere and a strip, the approach of the renormalized entanglement entropy to the IR fixed point value contains a contribution that depends on the whole RG trajectory. Such a contribution is dominant, when the leading irrelevant operator is sufficiently irrelevant. For a spherical region such terms can be anticipated from a geometric expansion, while for a strip whether these terms have geometric origins remains to be seen.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/jhep01(2014)098
