Is it possible to assign physical meaning to field theory with higher derivatives?

Details Is it possible to assign physical meaning to field theory with higher derivatives? Is it possible to assign physical meaning to field theory with higher derivatives?

1993-05-29

arxiv.org/abs/hep-th/9305175v1

Phys.Rev.D48:5811-5817,1993

Physics

High Energy Physics

High Energy Physics - Theory

16 pp, LaTeX, JINR E2-93-193

Scientific paper

10.1103/PhysRevD.48.5811

To overcome the difficulties with the energy indefiniteness in field theories with higher derivatives, it is supposed to use the mechanical analogy, the Timoshenko theory of the transverse flexural vibrations of beams or rods well known in mechanical engineering. It enables one to introduce the notion of a "mechanical" energy in such field models that is wittingly positive definite. This approach can be applied at least to the higher derivative models which effectively describe the extended localized solutions in usual first order field theories (vortex solutions in Higgs models and so on). Any problems with a negative norm ghost states and unitarity violation do not arise here.

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