Chaos in Yang-Mills matrix models

Date

2019

Author

Başkan, Kağa

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this thesis, chaotic dynamics emerging from Yang-Mills matrix models are investigated. Firstly, we investigate the Yang-Mills two-matrix models with ChernSimons term using both analytical and numerical methods. In particular, we obtain the Poincaré sections and Lyapunov exponents at several different values of the parameters of the model, revealing the detailed structure of the chaotic dynamics. In the second part of the thesis, we focus on a massive deformation of the bosonic part of the Banks-Fischler-Shenker-Susskind (BFSS) matrix model. Using an ansatz involving fuzzy-2 and fuzzy-4 sphere configurations we determine reduced effective Hamiltonians through which we study the emerging chaotic dynamics.

Subject Keywords

Yang-Mills theory., Keywords: Yang Mills Matrix Models, BFSS Matrix Model, Chern-Simons Theory in Matrix Models, Chaos in Matrix Models

URI

http://etd.lib.metu.edu.tr/upload/12623499/index.pdf
https://hdl.handle.net/11511/43734

Collections

Graduate School of Natural and Applied Sciences, Theses