Chapter 9: Chaos in the Mass-Deformed ABJM Model

Date

2023-03-01

Author

Kürkcüoğlu, Seçkin

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Chaotic dynamics of the mass deformed ABJM model is explored. To do so, we consider spatially uniform fields and obtain a family of reduced effective Lagrangians by tracing over ansatz configurations involving fuzzy two-spheres with collective time dependence. We examine how the largest Lyapunov exponent, λL, changes as a function of E/N2, where N is the matrix size. In particular, we inspect the temperature dependence of λL and present upper bounds on the temperature above which λL values comply with the MSS bound, λL ≤ 2πT , and below which it will eventually be not obeyed.

URI

https://doi.org/10.1142/9789811270437_0009
https://hdl.handle.net/11511/104592

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Department of Physics, Book / Book chapter