Butterfly velocity in quadratic gravity

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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“…Some works in this direction include, for instance,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32].…”

mentioning

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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“…The microscopic thermodynamic relation can be generalized to arbitrary covariant theory of gravity. The gravitational shock wave equations in the Gauss-Bonnet gravity have been previously studied for a certain black hole solution in [20] while exhaustive studies have been presented in [73,74] with rather involved calculations. In this section, we present a simpler derivation of the gravitational shock wave equations of motion in the Gauss-Bonnet gravity based on the Noether charge method.…”

Section: Induced Metricmentioning

confidence: 99%

Soft thermodynamics of gravitational shock wave

Liu,

Yoshida

2021

Preprint

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The gravitational shock waves have provided crucial insights into entanglement structures of black holes in the AdS/CFT correspondence. Recent progress on the soft hair physics suggests that these developments from holography may also be applicable to geometries beyond negatively curved spacetime.In this work, we derive a remarkably simple thermodynamic relation which relates the gravitational shock wave to a microscopic area deformation. Our treatment is based on the covariant phase space formalism and is applicable to any Killing horizon in generic static spacetime which is governed by arbitrary covariant theory of gravity. The central idea is to probe the gravitational shock wave, which shifts the horizon in the u direction, by the Noether charge constructed from a vector field which shifts the horizon in the v direction. As an application, we illustrate its use for the Gauss-Bonnet gravity. We also derive a simplified form of the gravitational scattering unitary matrix and show that its leading-order contribution is nothing but the exponential of the horizon area: U = exp(iArea).

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“…if A µν satisfies the condition Eq.(2.5). A more sophiscated example is quadratic gravity [37], where the term A µν is found to be…”

Section: Remarks On Rastall's Gravitymentioning

confidence: 99%

Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity

2019

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The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical, planar and hyperbolic symmetries with the presence of the cosmological constant. Besides, we show that several known black hole solutions in literature such as those for linear Maxwell theory and BTZ black hole can be obtained as special cases. The implications of Rastall's theory related to the present study and the thermodynamics of the black hole solutions are discussed. *

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Butterfly velocity in quadratic gravity

Cited by 5 publications

References 126 publications

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

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

Soft thermodynamics of gravitational shock wave

Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity

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