Strongly coupled gauge theories: high and low temperature behavior of non-local observables

Fischler, Willy; Kundu, Sandipan

doi:10.1007/jhep05(2013)098

Cited by 96 publications

(169 citation statements)

References 77 publications

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“…To solve this problem correctly, one must choose the Σ giving the minimal value once substituted back into the functional (2.17). Interestingly, this implies a first order phase transition in the mutual information [45][46][47]. Indeed, when the configuration on the right of Fig.…”

Section: Mutual Information In Nonrelativistic Field Theoriesmentioning

confidence: 90%

Entanglement and mutual information in two-dimensional nonrelativistic field theories

Hosseini

Véliz-Osorio²

2016

Phys. Rev. D

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We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression for the entanglement entropy of (1+1)-dimensional Lifshitz field theories -this is done both at zero and finite temperature. Based on these results, we pose a conjecture for the anomaly coefficient of a Lifshitz field theory dual to new massive gravity. It is found that the Lifshitz entanglement entropy at finite temperature displays a striking similarity with that corresponding to a flat space cosmology in three dimensions. We claim that this structure is an inherent feature of the entanglement entropy for nonrelativistic conformal field theories. We finish by exploring the behavior of the mutual information for such theories.

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Section: Mutual Information In Nonrelativistic Field Theoriesmentioning

confidence: 90%

Entanglement and mutual information in two-dimensional nonrelativistic field theories

Hosseini

Véliz-Osorio²

2016

Phys. Rev. D

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“…Since New Massive Gravity is a higher derivative theory with curvature squared terms, we need a reassessment of the Ryu-Takayanagi prescription. It is known that the finite part of the holographic entanglement entropy evaluated in a black hole background in the Einstein gravity corresponds to the Bekenstein-Hawking thermal entropy [5,24]. Therefore it is natural to expect the same in gravity theories with higher derivatives, with the understanding that the thermal entropy is now realized as Wald's entropy [13].…”

Section: Nmg and Holographic Entanglement Entropymentioning

confidence: 99%

Holographic Entanglement Entropy in NMG

Basanisi¹,

Chakrabortty²

2016

J. High Energ. Phys.

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Abstract:In this paper, we show that a higher derivative theory, such as New Massive Gravity, allows the existence of new entangling surfaces with non-zero extrinsic curvature. We perform the analysis for Lifshitz and Warped AdS spacetimes, revealing the role of the higher derivative contributions in the calculation of the holographic entanglement entropy. Finally, as an outcome of our holographic analysis we briefly comment on the dual boundary theory.

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“…Considering large entangling region limit, i.e., ρ h , the main contribution to the area of the minimal surface comes from the limit where it is extended all the way to the horizon, such that ρ t ∼ ρ h (see [35][36][37] for related analysis). In this limit by defining ρ = ρ t ξ, one finds…”

Section: Jhep10(2016)135mentioning

confidence: 99%

Non-local probes in holographic theories with momentum relaxation

Mozaffar

Mollabashi

Omidi

2016

J. High Energ. Phys.

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We consider recently introduced solutions of Einstein gravity with minimally coupled massless scalars. The geometry is homogeneous, isotropic and asymptotically anti de-Sitter while the scalar fields have linear spatial-dependent profiles. The spatiallydependent marginal operators dual to scalar fields cause momentum dissipation in the deformed dual CFT. We study the effect of these marginal deformations on holographic entanglement measures and Wilson loop. We show that the structure of the universal terms of entanglement entropy for d > 2-dim deformed CFTs is corrected depending on the geometry of the entangling regions. In d = 2 case, the universal term is not corrected while momentum relaxation leads to a non-critical correction. We also show that decrease of the correlation length causes: the phase transition of holographic mutual information to happen at smaller separations and the confinement/deconfinement phase transition to take place at smaller critical lengths. The effective potential between point like external objects also gets corrected. We show that the strength of the corresponding force between these objects is an increasing function of the momentum relaxation parameter.

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Strongly coupled gauge theories: high and low temperature behavior of non-local observables

Cited by 96 publications

References 77 publications

Entanglement and mutual information in two-dimensional nonrelativistic field theories

Entanglement and mutual information in two-dimensional nonrelativistic field theories

Holographic Entanglement Entropy in NMG

Non-local probes in holographic theories with momentum relaxation

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