Chaotic dynamics of a suspended string in a gravitational background with magnetic field

Colangelo, P.; Giannuzzi, Floriana; Losacco, Nicola

doi:10.1016/j.physletb.2022.136949

Cited by 8 publications

(20 citation statements)

References 15 publications

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“…As we will later see, the Lyapunov exponent indeed behaves differently in both frames when a magnetic field is present. This should be contrasted with [95], in which calculations are based on the model of [97] where no dilaton field is present and the String and Einstein frame metrics thus coincide. To be more precise, the used metric solves the Einstein equations of motion up to the first non-trivial order in a 1/r expansion, as seminally presented in [98].…”

Section: A Magnetized Emd Gravity Modelmentioning

confidence: 99%

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Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field

Shukla¹,

Dudal²,

Mahapatra³

2023

Preprint

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We investigate both from a qualitative as well as quantitative perspective the emergence of chaos in the QCD confining string in a magnetic field from a holographic viewpoint. We use an earlier developed bottom-up solution of the Einstein-Maxwell-Dilaton action that mimics QCD and its thermodynamics quite well. Surprisingly, our predictions depend on the used frame: the magnetic field tends to suppress the chaos in both perpendicular and parallel directions relative to the magnetic field in the string frame whilst in the Einstein frame, the chaos suppression only happens in the perpendicular direction, with an enhanced chaos along the magnetic field. The amount of suppression/enhancement in both frames does depend on the relative orientation of the string and magnetic field.

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Section: A Magnetized Emd Gravity Modelmentioning

confidence: 99%

“…In a previous work, the role of magnetic field on the chaotic dynamics of the string has been scrutinised in [95]. In our paper, we build upon their work to continue the study of a magnetic field on the chaotic dynamics of a hanging string in two different frames i.e.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field

Shukla¹,

Dudal²,

Mahapatra³

2023

Preprint

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“…We study the effects of chemical potential, related to a baryon reservoir, and of a magnetic field on the chaotic behaviour of a strongly coupled Q Q pair in a finite temperature background [1,2]. Such systems can be investigated through holographic methods analyzing the dynamics of an open string hanging in the bulk in presence of a black hole (BH).…”

Section: Introductionmentioning

confidence: 99%

“…where µ is the chemical potential and µ c a critical value, can be checked. To test the bounds we consider the Q Q pair in a finite temperature and baryon density background [1], and with a constant and uniform magnetic field at finite temperature [2]. This allows us to test the generalized bound Eq.…”

Section: Introductionmentioning

confidence: 99%

Holographic Study of the QQ̅ Chaotic Dynamics in General Thermal Background

Losacco

2022

EPJ Web Conf.

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The holographic approach is applied to study the chaotic behaviour of a strongly coupled QQ¯ pair in general thermal background. We consider two different backgrounds, one with finite temperature and baryon density, and one with finite temperature and constant magnetic field along a fixed direction. The results allow us to understand the dependence of the chaotic dynamics on the background, to test the universal bound on chaos conjectured by Maldacena, Shenker and Standford (MSS).

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“…The Lyapunov exponent for certain trajectories is bounded by the surface gravity at the horizon of the spherically symmetric static black hole [12]. This relation has been studied further and challenged in several setups [13,14,15,16,17]. In another relevant direction it has been also proposed an interesting correspondence between the operator growth in chaotic theories, the complexity and the radial momenta of the particles falling in the AdS black hole, for example in [18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Chaotic Motion near Black Hole and Cosmological Horizons

Giataganas

2021

Preprint

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It is known that certain types of particle motion near black hole horizons are chaotic while it has been proposed the existence of a universal bound for their Lyapunov exponent. We discuss the relation between chaos and inaffinity in presence of black hole and cosmological horizons. We argue that although a relation between the Lyapunov exponent and the generalized surface gravity appears naturally, in general there is no reason for the Lyapunov exponent of classical trajectories to be bounded in generic spacetimes with horizon. Moreover, we show that the de Sitter spacetime and cosmological horizons act as a nest of chaos in holography and we find that the Lyapunov exponent of the trajectories is related to the inaffinity in the same way for both cosmological and black hole horizons. This suggests that there is no distinction by the Lyapunov exponent between maximal chaos of black hole and cosmological horizons.

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Chaotic dynamics of a suspended string in a gravitational background with magnetic field

Cited by 8 publications

References 15 publications

Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field

Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field

Holographic Study of the QQ̅ Chaotic Dynamics in General Thermal Background

Chaotic Motion near Black Hole and Cosmological Horizons

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