Bhatt, C and Nenmeli, V and Vaidya, S (2024) Order and chaos in the SU (2) matrix model: Ergodicity and classical phases. In: Physical Review D, 110 (5).
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Abstract
We study the classical nonlinear dynamics of the SU(2) Yang-Mills matrix model introduced in Mod. Phys. Lett. A 30, 1550080 (2015)MPLAEQ0217-732310.1142/S0217732315500807 as a low-energy approximation to two-color QCD. Restricting to the spin-0 sector of the model, we unearth an unexpected tetrahedral symmetry, which endows the dynamics with an extraordinarily rich structure. Among other things, we find that the spin-0 sector contains coexisting chaotic subsectors as well as nested chaotic "basins", and displays alternation between regular and chaotic dynamics as energy is varied. The symmetries also grant us a considerable amount of analytic control which allows us to make several quantitative observations. We see that the classical spin-0 sector has a rich phase structure, arising from ergodicity breaking. Surprisingly, we find that many of these classical phases display numerous similarities to previously discovered quantum phases of the spin-0 sector J. Math. Phys. (N.Y.) 58, 022103 (2017)JMAPAQ0022-248810.1063/1.4976503, and we explore these similarities in a heuristic fashion. © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
| Item Type: | Journal Article |
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| Publication: | Physical Review D |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 04 Oct 2024 10:19 |
| Last Modified: | 04 Oct 2024 10:19 |
| URI: | http://eprints.iisc.ac.in/id/eprint/86332 |
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