Quasi-normal modes from non-commutative matrix dynamics

Aprile, Francesco; Sanfilippo, Francesco

doi:10.1007/jhep09(2017)048

Cited by 4 publications

(5 citation statements)

References 39 publications

(88 reference statements)

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“…The behavior of ν seems to be smooth and continuous with energy, and as such is apparently insensitive to the phase change near (2.14). Furthermore, our results for ν are consistent with those from matrix model simulations which do not suffer from UV problems [59], to which our simulations reduce to in the zero volume limit.…”

Section: Possible Observation Of Quasinormal Modessupporting

confidence: 89%

Real time quantum gravity dynamics from classical statistical Yang-Mills simulations

Hanada

Romatschke

2019

J. High Energ. Phys.

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We perform microcanonical classical statistical lattice simulations of SU(N ) Yang-Mills theory with eight scalars on a circle. Measuring the eigenvalue distribution of the spatial Wilson loop we find two distinct phases depending on the total energy and circle radius, which we tentatively interpret as corresponding to black hole and black string phases in a dual gravity picture. We proceed to study quenches by first preparing the system in one phase, rapidly changing the total energy, and monitoring the real-time system response. We observe that the system relaxes to the equilibrium phase corresponding to the new energy, in the process exhibiting characteristic damped oscillations. We interpret this as the topology change from black hole to black string configurations, with damped oscillations corresponding to quasi-normal mode ringing of the black hole/black string final state. This would suggest that α corrections alone can resolve the singularity associated with the topology change. We extract the real and imaginary part of the lowest-lying presumptive quasinormal mode as a function of energy and N . arXiv:1808.08959v2 [hep-th]

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Section: Possible Observation Of Quasinormal Modessupporting

confidence: 89%

Real time quantum gravity dynamics from classical statistical Yang-Mills simulations

Hanada

Romatschke

2019

J. High Energ. Phys.

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“…Finally, let us note that at high temperatures we can use equations ( 30), ( 31), ( 25) and ( 23) to estimate the real part of the quasinormal frequency of the quasinormal ringing of Tr X 2 i as w XX = 4.89 T 1/4 , which agrees well with the dependence w XX = 5.152 T 1/4 obtained in [62,71] for the bosonic matrix model using more elaborate dedicated simulations. At the highest temperatures where Im (w X ) can still be estimated in our simulations, we obtain Im (w X ) /Re (w X ) ∼ 0.1, which also roughly agrees with the result of [62,71]. According to the dual gravity calculation, near zero temperature the quasinormal frequency is proportional to T and the ratio Im (w X ) /Re (w X ) is about 1.7 [72].…”

Section: And Estimatesupporting

confidence: 84%

“…Due to its chaoticity and ergodicity, classical matrix mechanics exhibits real-time thermalization towards a dynamical equilibrium state in which long-time averages of physical observables approach their thermal equilibrium values [27]. This thermalization process can be also interpreted as quasinormal ringing characterized by nontrivial complex-valued quasinormal frequencies [61,62], with real parts being quite close to our estimates (30) and (31), see Subsection V C.…”

Section: A Bosonic Matrix Modelsupporting

confidence: 82%

Quantum chaos, thermalization, and entanglement generation in real-time simulations of the Banks-Fischler-Shenker-Susskind matrix model

2019

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We study numerically the onset of chaos and thermalization in the Banks-Fischler-Shenker-Susskind (BFSS) matrix model with and without fermions, considering Lyapunov exponents, entanglement generation, and quasinormal ringing. We approximate the real-time dynamics in terms of the most general Gaussian density matrices with parameters which obey self-consistent equations of motion, thus extending the applicability of real-time simulations beyond the classical limit. Initial values of these Gaussian density matrices are optimized to be as close as possible to the thermal equilibrium state of the system. Thus attempting to bridge between the low-energy regime with a calculable holographic description and the classical regime at high energies, we find that quantum corrections to classical dynamics tend to decrease the Lyapunov exponents, which is essential for consistency with the Maldacena-Shenker-Stanford (MSS) bound at low temperatures. The entanglement entropy is found to exhibit an expected "scrambling" behavior -rapid initial growth followed by saturation. At least at high temperatures the entanglement saturation time appears to be governed by classical Lyapunov exponents. Decay of quasinormal modes is found to be characterized by the shortest time scale of all. We also find that while the bosonic matrix model becomes nonchaotic in the low-temperature regime, for the full BFSS model with fermions the leading Lyapunov exponent, entanglement saturation time, and decay rate of quasinormal modes all remain finite and non-zero down to the lowest temperatures.

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“…The master fields should be related to classical geometry, when the theory admits a weakly-curved gravity dual. Previously, the classical dynamics of the Yang-Mills matrix model has been studied [39][40][41][42][43] with the expectation that typical configurations in the classical theory capture the aspects of the gravitational geometry. Therefore, the specific properties of the master field discussed in this paper should have some geometric interpretation.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Partial deconfinement at strong coupling on the lattice

Watanabe

Bergner²,

Bodendorfer

et al. 2021

J. High Energ. Phys.

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We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we observe that the M × M submatrices deconfine. This gives direct evidence for partial deconfinement at strong coupling. We discuss the applications to QCD and holography.

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Quasi-normal modes from non-commutative matrix dynamics

Cited by 4 publications

References 39 publications

Real time quantum gravity dynamics from classical statistical Yang-Mills simulations

Real time quantum gravity dynamics from classical statistical Yang-Mills simulations

Quantum chaos, thermalization, and entanglement generation in real-time simulations of the Banks-Fischler-Shenker-Susskind matrix model

Partial deconfinement at strong coupling on the lattice

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