Chaos of QCD string from holography

Akutagawa, Tetsuya; Hashimoto, Koji; Murata, Keiju; Ota, Toshihiro

doi:10.1103/physrevd.100.046009

Cited by 17 publications

(9 citation statements)

References 59 publications

(80 reference statements)

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“…There exist many more publications worth mentioning in this context. A very recent example dealing with QCD is, e.g., [38], while in Ref. [39] it is argued that, at least for entanglement entropy, bosons, and a quadratic Hamiltonian, a linear growth of entropy with the Kolmogorov-Sinaï entropy can be derived also for quantum systems.…”

Section: Entropy Production In Classical and Quantum Gauge Theoriesmentioning

confidence: 99%

Phenomenological implications of asymmetric AdS5 shock wave collision studies for heavy ion physics

et al. 2020

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This paper discusses possible phenomenological implications for p+A and A+A collisions of the results of recent numerical AdS/CFT calculations examining asymmetric collisions of planar shocks. In view of the extreme Lorentz contraction, we model highly relativistic heavy ion collisions (HICs) as a superposition of collisions between many near-independent transverse "pixels" with differing incident longitudinal momenta. It was found that also for asymmetric collisions the hydrodynamization time is in good approximation a proper time, just like for symmetric collisions, depending on the geometric mean of the longitudinally integrated energy densities of the incident projectiles. For realistic collisions with fluctuations in the initial energy densities, these results imply a substantial increase in the hydrodynamization time for highly asymmetric pixels. However, even in this case the local hydrodynamization time still is significantly smaller than perturbative results for the thermalization time.

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Section: Entropy Production In Classical and Quantum Gauge Theoriesmentioning

confidence: 99%

Phenomenological implications of asymmetric AdS5 shock wave collision studies for heavy ion physics

et al. 2020

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“…In terms of supergravity, we choose a string embedding that produces the kind of differential equations of motion that can be examined under Kovacic's theorem, [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Since an integrable theory has all of its dynamical sectors integrable, then every possible string configuration must echo integrable dynamics.…”

Section: Introductionmentioning

confidence: 99%

Non-integrability on AdS3 supergravity backgrounds

Filippas

2020

J. High Energ. Phys.

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We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS 3 × S 2 × R × CY 2 , they preserve small N = (0, 4) supersymmetry and are associated with D8−D6−D4−D2 Hanany-Witten brane setups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the associate brane setups we prove that no such conditions exist, yielding the complete non-integrability of these vacua. That is, up to the trivial cases where the background reduces to the Abelian and non-Abelian T-dual of AdS 3 × S 3 × T 4 .

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“…(1) using the AdS/CFT correspondence [11][12][13], adopting a dual geometry with a black hole and identifying T with the Hawking temperature, for example, in [14,15]. In particular, the heavy quark-antiquark pair, described holographically by a string hanging in the bulk with end points on the boundary [16][17][18][19], has been studied in this context [20][21][22]. For this system λ is the Lyapunov exponent characterizing the chaotic behavior of time-dependent fluctuations around the static configuration.…”

Section: Introductionmentioning

confidence: 99%

Chaos in a QQ¯ system at finite temperature and baryon density

2020

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Onset of chaos for the holographic dual of a QQ system at finite temperature and baryon density is studied. We consider a string in the AdS Reissner-Nordstrom background near the black-hole horizon and investigate small time-dependent perturbations of the static configurations. The proximity to the horizon induces chaos, which is softened increasing the chemical potential. A background geometry including the effect of a dilaton is also examined. The Maldacena, Shenker, and Stanford bound on the Lyapunov exponents characterizing the perturbations is satisfied for finite baryon chemical potential and when the dilaton is included in the metric.

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Chaos of QCD string from holography

Cited by 17 publications

References 59 publications

Phenomenological implications of asymmetric AdS5 shock wave collision studies for heavy ion physics

Phenomenological implications of asymmetric AdS5 shock wave collision studies for heavy ion physics

Non-integrability on AdS3 supergravity backgrounds

Chaos in a QQ¯ system at finite temperature and baryon density

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