The Inverted Pendulum as a Classical Analog of the EFT Paradigm

Autor:	Beneke, Martin, König, Matthias, Link, Martin
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology Physics - Classical Physics
Zdroj:	Phys. Scr. 99 (2024) 065240
Druh dokumentu:	Working Paper
DOI:	10.1088/1402-4896/ad4184
Popis:	The inverted pendulum is a mechanical system with a rapidly oscillating pivot point. Using techniques similar in spirit to the methodology of effective field theories, we derive an effective Lagrangian that allows for the systematic computation of corrections to the so-called Kapitza equation. The derivation of the effective potential of the system requires non-trivial matching conditions, which need to be determined order by order in the power-counting of the problem. The convergence behavior of the series is investigated on the basis of high-order results obtained by this method. Comment: 18 pages, 9 figures, v2: corrected typos, added results as Mathematica notebook, matches published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.14441 Zobrazit plný text záznamu View this record from Arxiv