On the instability of classical dynamics in theories with higher derivatives
High Energy Physics - Theory
2008-11-26 v2
Abstract
The development of instability in the dynamics of theories with higher derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth oder oscillator. For this aim the external friction force is introduced in the model and the relevant solutions to equations of motion are investigated. As a result, the physical implication of the energy unboundness from below in theories under consideration is revealed.
Keywords
Cite
@article{arxiv.hep-th/0612265,
title = {On the instability of classical dynamics in theories with higher derivatives},
author = {V. V. Nesterenko},
journal= {arXiv preprint arXiv:hep-th/0612265},
year = {2008}
}
Comments
9 pages, no figures and no tables, revtex4; a few misprints are corrected