The Inverted Pendulum as a Classical Analog of the EFT Paradigm
High Energy Physics - Phenomenology
2024-05-20 v2 Classical Physics
Abstract
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.
Keywords
Cite
@article{arxiv.2308.14441,
title = {The Inverted Pendulum as a Classical Analog of the EFT Paradigm},
author = {Martin Beneke and Matthias König and Martin Link},
journal= {arXiv preprint arXiv:2308.14441},
year = {2024}
}
Comments
18 pages, 9 figures, v2: corrected typos, added results as Mathematica notebook, matches published version