IS IT POSSIBLE TO ASSIGN PHYSICAL MEANING TO HELD THEORY WITH HIGHER DERIVATIVES

Citation
Am. Chervyakov et Vv. Nesterenko, IS IT POSSIBLE TO ASSIGN PHYSICAL MEANING TO HELD THEORY WITH HIGHER DERIVATIVES, Physical review. D. Particles and fields, 48(12), 1993, pp. 5811-5817
Citations number
39
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
48
Issue
12
Year of publication
1993
Pages
5811 - 5817
Database
ISI
SICI code
0556-2821(1993)48:12<5811:IIPTAP>2.0.ZU;2-5
Abstract
To overcome the difficulties with the energy indefiniteness in field t heories with higher derivatives, we propose to use a mechanical analog y-the Timoshenko theory of the transverse flexural vibrations of beams or rods well known in mechanical engineering. This enables one to int roduce the notion of ''mechanical'' energy in such field models that i s wittingly positive definite. This approach can be applied at least t o the higher derivative models which effectively describe the extended localized solutions in the usual first order held theories (vortex so lutions in Higgs models and so on). Any problems with negative norm gh ost states and unitarity violation do not arise here.