Quantum corrections to holographic mutual information

Agón, César A.; Faulkner, Thomas

doi:10.1007/jhep08(2016)118

Cited by 65 publications

(144 citation statements)

References 38 publications

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“…This is the same as the one in [52]. For the same kind of operator O, we may construct a primary operator with spin 1 by 3…”

Section: Scalar Type Operatormentioning

confidence: 96%

“…In [51], the computation in 3D case has been pushed to the next-to-leading order. For other study on the mutual information, see [52][53][54][55][56].…”

Section: Jhep06(2017)096mentioning

confidence: 99%

“…This issue has been discussed in [52], where it has been shown that the leading order mutual information from a scalar-type operator take a universal form. The analysis in [52] relied on the subtle analytic continuation. In this work, we propose a 1/n prescription to simplify the discussion…”

Section: Jhep06(2017)096mentioning

confidence: 99%

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On the mutual information in conformal field theory

Chen

Hao

et al. 2017

J. High Energ. Phys.

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Abstract:In this work, we study the universal behaviors in the mutual information of two disjoint spheres in a conformal field theory (CFT). By using the operator product expansion of the spherical twist operator in terms of the conformal family, we show that the large distance expansion of the mutual information can be cast in terms of the conformal blocks. We develop the 1/n prescription to compute the coefficients before the conformal blocks. For a single conformal family, the leading nonvanishing contribution to the mutual information comes from the bilinear operators. We show that the coefficients of these operators take universal forms and such universal behavior persists in the bilinear operators with derivatives as well. Consequently the first few leading order contributions to the mutual information in CFT take universal forms. To illustrate our framework, we discuss the free scalars and free fermions in various dimensions. For the free scalars, we compute the mutual information to the next-to-leading order and find good agreement with the improved numerical lattice result. For the free fermion, we compute the leading order result, which is of universal form, and find the good match with the numerical study. Our formalism could be applied to any CFT potentially.

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“…This is the same as the one in [52]. For the same kind of operator O, we may construct a primary operator with spin 1 by 3…”

Section: Scalar Type Operatormentioning

confidence: 96%

“…In [51], the computation in 3D case has been pushed to the next-to-leading order. For other study on the mutual information, see [52][53][54][55][56].…”

Section: Jhep06(2017)096mentioning

confidence: 99%

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On the mutual information in conformal field theory

Chen

Hao

et al. 2017

J. High Energ. Phys.

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“…that the leading 1/N -correction to mutual information is finite for large distances [50] and hence the sharp phase transition disappears.…”

Section: Jhep08(2016)177mentioning

confidence: 97%

Aspects of holographic entanglement at finite temperature and chemical potential

Kundu

Pedraza

2016

J. High Energ. Phys.

107

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Abstract:We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled large-N gauge theories in d-dimensions (d ≥ 3) that are dual to Anti-de Sitter-Reissner-Nordstrom geometries in (d + 1)−dimensions, in the context of gauge-gravity duality. We develop systematic expansions based on the RyuTakayanagi prescription that enable us to derive analytic expressions for entanglement entropy and mutual information in different regimes of interest. Consequently, we identify the specific regions of the bulk geometry that contribute most significantly to the entanglement entropy of the boundary theory at different limits. We define a scale, dubbed as the effective temperature, which determines the behavior of entanglement in different regimes. At high effective temperature, entanglement entropy is dominated by the thermodynamic entropy, however, mutual information subtracts out this contribution and measures the actual quantum entanglement. Finally, we study the entanglement/disentanglement transition of mutual information in the presence of chemical potential which shows that the quantum entanglement between two sub-regions decreases with the increase of chemical potential.

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“…However, explicit computations of quantum corrections dual to the 1/N expansions, pioneered by the works [6,7], have been limited to several specific examples. Among them, the quantum corrections play a crucial role in the entanglement entropy and mutual information [6,7] for multi intervals [8][9][10] in two dimensional CFTs and for its higher dimensional counterparts [11][12][13] (see also further related works [14][15][16][17][18][19][20][21] and for other aspects of quantum corrections to holographic entanglement entropy refer to [22][23][24][25][26] ).…”

Section: Introductionmentioning

confidence: 99%

Double‐trace deformations and entanglement entropy in AdS

Miyagawa

Shiba

Takayanagi

2016

Fortschritte der Physik

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We compute the bulk entanglement entropy of a massive scalar field in a Poincare AdS with the Dirichlet and Neumann boundary condition when we trace out a half space. Moreover, by taking into account the quantum back reaction to the minimal surface area, we calculate how much the entanglement entropy changes under a doubletrace deformation of a holographic CFT. In the AdS3/CFT2 setup, our result agrees with the known result in 2d CFTs. In higher dimensions, our results offer holographic predictions.

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Quantum corrections to holographic mutual information

Cited by 65 publications

References 38 publications

On the mutual information in conformal field theory

On the mutual information in conformal field theory

Aspects of holographic entanglement at finite temperature and chemical potential

Double‐trace deformations and entanglement entropy in AdS

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