Entanglement entropy for relevant and geometric perturbations

Vladimir Rosenhaus; Michael Smolkin

doi:10.1007/JHEP02(2015)015

Entanglement entropy for relevant and geometric perturbations

Vladimir Rosenhaus^*, Michael Smolkin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

Abstract: We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is calculated to second order in the coupling. We also explore the geometric dependence of entanglement entropy for a deformed planar entangling surface, finding surprises at second order.

Original language	English
Article number	15
Journal	Journal of High Energy Physics
Volume	2015
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2015)015
State	Published - 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Keywords

AdS-CFT Correspondence
Field Theories in Higher Dimensions
Renormalization Group

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10.1007/JHEP02(2015)015

Cite this

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abstract = "Abstract: We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is calculated to second order in the coupling. We also explore the geometric dependence of entanglement entropy for a deformed planar entangling surface, finding surprises at second order.",

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AB - Abstract: We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is calculated to second order in the coupling. We also explore the geometric dependence of entanglement entropy for a deformed planar entangling surface, finding surprises at second order.

KW - AdS-CFT Correspondence

KW - Field Theories in Higher Dimensions

KW - Renormalization Group

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Entanglement entropy for relevant and geometric perturbations

Abstract

Bibliographical note

Keywords

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