Chaos in Matrix Gauge Theories with Massive Deformations

Başkan K., KÜRKCÜOĞLU S., Oktay O., Taşcı C.

20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021, Corfu, Greece, 29 August - 09 October 2021, vol.406 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 406
  • City: Corfu
  • Country: Greece
  • Middle East Technical University Affiliated: Yes


© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)Starting from an SU(N) matrix quantum mechanics model with massive deformation terms and by introducing an ansatz configuration involving fuzzy four- and two-spheres with collective time dependence, we obtain a family of effective Hamiltonians, Hn, (N = 16 (n + 1)(n + 2)(n + 3)) and examine their emerging chaotic dynamics. Through numerical work, we model the variation of the largest Lyapunov exponents as a function of the energy and find that they vary either as ∝ (E − (En)F)1/4 or ∝ E1/4, where (En)F stand for the energies of the unstable fixed points of the phase space. We use our results to put upper bounds on the temperature above which the Lyapunov exponents comply with the Maldacena-Shenker-Stanford (MSS) bound, 2πT, and below which it will eventually be violated.