On the instability of classical dynamics in theories with higher derivatives

Details On the instability of classical dynamics in theories with higher derivatives On the instability of classical dynamics in theories with higher derivatives

2006-12-25

arxiv.org/abs/hep-th/0612265v2

Phys.Rev.D75:087703,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures and no tables, revtex4; a few misprints are corrected

Scientific paper

10.1103/PhysRevD.75.087703

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.

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