Submitted:
23 February 2021
Posted:
25 February 2021
Read the latest preprint version here
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
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