Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Non-Integrable Dynamics and Physics Beyond the Standard Model

Version 1 : Received: 23 February 2021 / Approved: 25 February 2021 / Online: 25 February 2021 (07:39:49 CET)
Version 2 : Received: 26 February 2021 / Approved: 26 February 2021 / Online: 26 February 2021 (12:15:51 CET)

How to cite: Goldfain, E. Non-Integrable Dynamics and Physics Beyond the Standard Model. Preprints 2021, 2021020564 (doi: 10.20944/preprints202102.0564.v2). Goldfain, E. Non-Integrable Dynamics and Physics Beyond the Standard Model. Preprints 2021, 2021020564 (doi: 10.20944/preprints202102.0564.v2).

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.

Subject Areas

Non-integrability; Poincaré resonances; fractional dynamics; Haag’s theorem; interacting Quantum Field Theory; Beyond-the-Standard-Model physics

Comments (1)

Comment 1
Received: 26 February 2021
Commenter: Ervin Goldfain
Commenter's Conflict of Interests: Author
Comment: Added a one-sentence clarification at the end of paragraph 2, as follows:

"It is readily seen that (2.19) diverges in resonance conditions defined by ..."
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