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Probing renormalization group flows using entanglement entropy

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arxiv 1309.6935 v1 pith:CRBP3Y44 submitted 2013-09-26 hep-th cond-mat.str-el

Hong Liu , Márk Mezei This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords entanglemententropycontributionexpansionfixedgeometricholographicirrelevant
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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.

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Cited by 3 Pith papers

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  1. Covariant unification of holographic c-functions

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    A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-g...

  2. Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A probe-D5 holographic calculation gives analytic defect/interface entanglement entropy for massive D3/D5 intersections and shows the entropic C-function is monotonic but not always a finite degree-of-freedom count.

  3. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

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