Journal of High Energy Physics

, 2019:201 | Cite as

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

  • Masanori Hanada
  • Paul RomatschkeEmail author
Open Access
Regular Article - Theoretical Physics


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.


AdS-CFT Correspondence Brane Dynamics in Gauge Theories Models of Quantum Gravity 


Open Access

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Copyright information

© SISSA, Trieste, Italy 2019

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of ColoradoBoulderU.S.A.
  2. 2.Center for Theory of Quantum MatterUniversity of ColoradoBoulderU.S.A.

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