Holographic entanglement entropy decomposition in an anisotropic gauge theory

Rahimi, Mehdi; Ali-Akbari, M.

doi:10.1103/physrevd.98.026004

Cited by 11 publications

(5 citation statements)

References 30 publications

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“…The key to this holographic entanglement entropy asymmetry can be related to the unequal entanglement pressure [58]. Studies of holographic entanglement entropy in spatially anisotropic field theory also showed such asymmetry owing its origin to the fact that the pressure in one direction is different from the others [59]. This is also consistent with the results obtained using the complexity equals action proposal [61].…”

Section: Strip Perpendicular To the Direction Of Boostsupporting

confidence: 79%

Holographic subregion complexity of boosted black brane and Fisher information

2019

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In this paper, we have studied the holographic subregion complexity for boosted black brane for strip like subsystem. The holographic subregion complexity has been computed for a subsystem chosen along and perpendicular to the boost direction. We have observed that there is an asymmetry in the result due to the boost parameter which can be attributed to the asymmetry in the holographic entanglement entropy. The Fisher information metric and the fidelity susceptibility have also been computed using bulk dual prescriptions. It is observed that the two metrics computed holographically are not related for both the pure black brane as well as the boosted black brane. This is one of the main findings in this paper and the holographic results have been compared with the results available in the quantum information literature where it is known that the two distances are related to each other in

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Section: Strip Perpendicular To the Direction Of Boostsupporting

confidence: 79%

Holographic subregion complexity of boosted black brane and Fisher information

2019

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“…The theory flows between two fixed points of the renormalization group, one in the ultraviolet corresponding to a four dimensional N = 4 super Yang-Mills theory, and the other in the infrared where the theory is also conformal but, due to the magnetic field, reduces to 1+1 dimensions. The gravity dual of this theory was presented in [43] and has been used to investigate the effects of an external magnetic field in several physical observables, of which a comprehensive list would be difficult to achieve, but some studies relevant to our current topic are [44][45][46][47][48][49].…”

Section: Jhep09(2018)131mentioning

confidence: 99%

Chaos, diffusivity, and spreading of entanglement in magnetic branes, and the strengthening of the internal interaction

Ávila

Jahnke

Patiño

2018

J. High Energ. Phys.

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We use holographic methods to study several chaotic properties of a super Yang-Mills theory at temperature T in the presence of a background magnetic field of constant strength B. The field theory we work on has a renormalization flow between a fixed point in the ultraviolet and another in the infrared, occurring in such a way that the energy at which the crossover takes place is a monotonically increasing function of the dimensionless ratio B/T 2. By considering shock waves in the bulk of the dual gravitational theory, and varying B/T 2 , we study how several chaos-related properties of the system behave while the theory they live in follows the renormalization flow. In particular, we show that the entanglement and butterfly velocities generically increase in the infrared theory, violating the previously suggested upper bounds but never surpassing the speed of light. We also investigate the recent proposal relating the butterfly velocity with diffusion coefficients. We find that electric diffusion constants respect the lower bound proposed by Blake. All our results seem to consistently indicate that the global effect of the magnetic field is to strengthen the internal interaction of the system.

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“…In particular, in [41] it was proposed to use the HEE as a probe of confinement. The HEE has been extensively studied and applied in the investigation of the phase transitions in various holographic QCD (HQCD) models [42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”

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confidence: 99%

Holographic anisotropic background with confinement-deconfinement phase transition

Aref’eva

Rannu

2018

J. High Energ. Phys.

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We present new anisotropic black brane solutions in 5D Einstein-dilaton-twoMaxwell system. The anisotropic background is specified by an arbitrary dynamical exponent ν, a nontrivial warp factor, a non-zero dilaton field, a non-zero time component of the first Maxwell field and a non-zero longitudinal magnetic component of the second Maxwell field. The blackening function supports the Van der Waals-like phase transition between small and large black holes for a suitable first Maxwell field charge. The isotropic case corresponding to ν = 1 and zero magnetic field reproduces previously known solutions. We investigate the anisotropy influence on the thermodynamic properties of our background, in particular, on the small/large black holes phase transition diagram.We discuss applications of the model to the bottom-up holographic QCD. The RG flow interpolates between the UV section with two suppressed transversal coordinates and the IR section with the suppressed time and longitudinal coordinates due to anisotropic character of our solution. We study the temporal Wilson loops, extended in longitudinal and transversal directions, by calculating the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. We find that dynamical wall locations depend on the orientation of the quark pairs, that gives a crossover transition line between confinement/deconfinement phases in the dual gauge theory. Instability of the background leads to the appearance of the critical points (µ ϑ,b , T ϑ,b ) depending on the orientation ϑ of quark-antiquark pairs in respect to the heavy ions collision line.

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Holographic entanglement entropy decomposition in an anisotropic gauge theory

Cited by 11 publications

References 30 publications

Holographic subregion complexity of boosted black brane and Fisher information

Holographic subregion complexity of boosted black brane and Fisher information

Chaos, diffusivity, and spreading of entanglement in magnetic branes, and the strengthening of the internal interaction

Holographic anisotropic background with confinement-deconfinement phase transition

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