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Article
Non-Integrable Dynamics and Physics Beyond the Standard Model
This version is not peer-reviewed.
Submitted:
26 February 2021
Posted:
26 February 2021
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Abstract
The evolution of integrable classical systems leads to conserved quantities and vanishing Poisson brackets. In contrast, such invariants do not exist in the dynamics of non-integrable systems, which include (but are not limited to) deterministic models with long-term chaotic behavior. The object of this review is to briefly survey the mathematical background of nonintegrability and its role in the physics unfolding well-above the Standard Model (SM) scale.
Keywords:
Non-integrability
; Poincaré resonances
; fractional dynamics
; Haag’s theorem
; interacting Quantum Field Theory
; Beyond-the-Standard-Model physics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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